contestId int64 0 1.01k | index stringclasses 57
values | name stringlengths 2 58 | type stringclasses 2
values | rating int64 0 3.5k | tags listlengths 0 11 | title stringclasses 522
values | time-limit stringclasses 8
values | memory-limit stringclasses 8
values | problem-description stringlengths 0 7.15k | input-specification stringlengths 0 2.05k | output-specification stringlengths 0 1.5k | demo-input listlengths 0 7 | demo-output listlengths 0 7 | note stringlengths 0 5.24k | points float64 0 425k | test_cases listlengths 0 402 | creationTimeSeconds int64 1.37B 1.7B | relativeTimeSeconds int64 8 2.15B | programmingLanguage stringclasses 3
values | verdict stringclasses 14
values | testset stringclasses 12
values | passedTestCount int64 0 1k | timeConsumedMillis int64 0 15k | memoryConsumedBytes int64 0 805M | code stringlengths 3 65.5k | prompt stringlengths 262 8.2k | response stringlengths 17 65.5k | score float64 -1 3.99 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
50 | A | Domino piling | PROGRAMMING | 800 | [
"greedy",
"math"
] | A. Domino piling | 2 | 256 | You are given a rectangular board of *M*<=×<=*N* squares. Also you are given an unlimited number of standard domino pieces of 2<=×<=1 squares. You are allowed to rotate the pieces. You are asked to place as many dominoes as possible on the board so as to meet the following conditions:
1. Each domino completely covers two squares.
2. No two dominoes overlap.
3. Each domino lies entirely inside the board. It is allowed to touch the edges of the board.
Find the maximum number of dominoes, which can be placed under these restrictions. | In a single line you are given two integers *M* and *N* — board sizes in squares (1<=≤<=*M*<=≤<=*N*<=≤<=16). | Output one number — the maximal number of dominoes, which can be placed. | [
"2 4\n",
"3 3\n"
] | [
"4\n",
"4\n"
] | none | 500 | [
{
"input": "2 4",
"output": "4"
},
{
"input": "3 3",
"output": "4"
},
{
"input": "1 5",
"output": "2"
},
{
"input": "1 6",
"output": "3"
},
{
"input": "1 15",
"output": "7"
},
{
"input": "1 16",
"output": "8"
},
{
"input": "2 5",
"outpu... | 1,656,890,166 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 0 | tab = input("write tab size: ")
space = tab.index(" ")
n1 = int(tab[0:space])
n2 = int(tab[space+1::])
print(int((n1*n2)/2))
# arr = [int(j) for j in input("").split()]
# print(arr[0]*arr[1]//2)
#print(eval(input().replace(' ','*'))//2)
# s = 'python is fun'
# c = 'n'
# lst = []
# for pos,char in enumerate(s):
# if(char == c):
# lst.append(pos)
# print(lst)
# s = 'python is fun'
# c = 'n'
# print([pos for pos, char in enumerate(s) if char == c]) | Title: Domino piling
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
You are given a rectangular board of *M*<=×<=*N* squares. Also you are given an unlimited number of standard domino pieces of 2<=×<=1 squares. You are allowed to rotate the pieces. You are asked to place as many dominoes as possible on the board so as to meet the following conditions:
1. Each domino completely covers two squares.
2. No two dominoes overlap.
3. Each domino lies entirely inside the board. It is allowed to touch the edges of the board.
Find the maximum number of dominoes, which can be placed under these restrictions.
Input Specification:
In a single line you are given two integers *M* and *N* — board sizes in squares (1<=≤<=*M*<=≤<=*N*<=≤<=16).
Output Specification:
Output one number — the maximal number of dominoes, which can be placed.
Demo Input:
['2 4\n', '3 3\n']
Demo Output:
['4\n', '4\n']
Note:
none | ```python
tab = input("write tab size: ")
space = tab.index(" ")
n1 = int(tab[0:space])
n2 = int(tab[space+1::])
print(int((n1*n2)/2))
# arr = [int(j) for j in input("").split()]
# print(arr[0]*arr[1]//2)
#print(eval(input().replace(' ','*'))//2)
# s = 'python is fun'
# c = 'n'
# lst = []
# for pos,char in enumerate(s):
# if(char == c):
# lst.append(pos)
# print(lst)
# s = 'python is fun'
# c = 'n'
# print([pos for pos, char in enumerate(s) if char == c])
``` | 0 |
630 | A | Again Twenty Five! | PROGRAMMING | 800 | [
"number theory"
] | null | null | The HR manager was disappointed again. The last applicant failed the interview the same way as 24 previous ones. "Do I give such a hard task?" — the HR manager thought. "Just raise number 5 to the power of *n* and get last two digits of the number. Yes, of course, *n* can be rather big, and one cannot find the power using a calculator, but we need people who are able to think, not just follow the instructions."
Could you pass the interview in the machine vision company in IT City? | The only line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=2·1018) — the power in which you need to raise number 5. | Output the last two digits of 5*n* without spaces between them. | [
"2\n"
] | [
"25"
] | none | 0 | [
{
"input": "2",
"output": "25"
},
{
"input": "7",
"output": "25"
},
{
"input": "1000000000000000000",
"output": "25"
},
{
"input": "2000000000000000000",
"output": "25"
},
{
"input": "987654321012345678",
"output": "25"
}
] | 1,694,440,621 | 2,147,483,647 | Python 3 | OK | TESTS | 5 | 31 | 0 | n= int(input())
if n==0:
m='0'
p=1
print(m,end='')
print(p)
elif n==1:
m=0
p=5
print(m,end='')
print(p)
else:
m=25
print(m) | Title: Again Twenty Five!
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The HR manager was disappointed again. The last applicant failed the interview the same way as 24 previous ones. "Do I give such a hard task?" — the HR manager thought. "Just raise number 5 to the power of *n* and get last two digits of the number. Yes, of course, *n* can be rather big, and one cannot find the power using a calculator, but we need people who are able to think, not just follow the instructions."
Could you pass the interview in the machine vision company in IT City?
Input Specification:
The only line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=2·1018) — the power in which you need to raise number 5.
Output Specification:
Output the last two digits of 5*n* without spaces between them.
Demo Input:
['2\n']
Demo Output:
['25']
Note:
none | ```python
n= int(input())
if n==0:
m='0'
p=1
print(m,end='')
print(p)
elif n==1:
m=0
p=5
print(m,end='')
print(p)
else:
m=25
print(m)
``` | 3 | |
799 | A | Carrot Cakes | PROGRAMMING | 1,100 | [
"brute force",
"implementation"
] | null | null | In some game by Playrix it takes *t* minutes for an oven to bake *k* carrot cakes, all cakes are ready at the same moment *t* minutes after they started baking. Arkady needs at least *n* cakes to complete a task, but he currently don't have any. However, he has infinitely many ingredients and one oven. Moreover, Arkady can build one more similar oven to make the process faster, it would take *d* minutes to build the oven. While the new oven is being built, only old one can bake cakes, after the new oven is built, both ovens bake simultaneously. Arkady can't build more than one oven.
Determine if it is reasonable to build the second oven, i.e. will it decrease the minimum time needed to get *n* cakes or not. If the time needed with the second oven is the same as with one oven, then it is unreasonable. | The only line contains four integers *n*, *t*, *k*, *d* (1<=≤<=*n*,<=*t*,<=*k*,<=*d*<=≤<=1<=000) — the number of cakes needed, the time needed for one oven to bake *k* cakes, the number of cakes baked at the same time, the time needed to build the second oven. | If it is reasonable to build the second oven, print "YES". Otherwise print "NO". | [
"8 6 4 5\n",
"8 6 4 6\n",
"10 3 11 4\n",
"4 2 1 4\n"
] | [
"YES\n",
"NO\n",
"NO\n",
"YES\n"
] | In the first example it is possible to get 8 cakes in 12 minutes using one oven. The second oven can be built in 5 minutes, so after 6 minutes the first oven bakes 4 cakes, the second oven bakes 4 more ovens after 11 minutes. Thus, it is reasonable to build the second oven.
In the second example it doesn't matter whether we build the second oven or not, thus it takes 12 minutes to bake 8 cakes in both cases. Thus, it is unreasonable to build the second oven.
In the third example the first oven bakes 11 cakes in 3 minutes, that is more than needed 10. It is unreasonable to build the second oven, because its building takes more time that baking the needed number of cakes using the only oven. | 500 | [
{
"input": "8 6 4 5",
"output": "YES"
},
{
"input": "8 6 4 6",
"output": "NO"
},
{
"input": "10 3 11 4",
"output": "NO"
},
{
"input": "4 2 1 4",
"output": "YES"
},
{
"input": "28 17 16 26",
"output": "NO"
},
{
"input": "60 69 9 438",
"output": "NO"... | 1,677,577,237 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 0 | from math import ceil
n, t, k, d =map(int,input().split())
if n <=k:print("NO")
else:
t1=0;t2=0
t1=ceil(n/k)*t
bb=ceil(d/t)
sub=n-(bb*k)
tt=ceil(sub//2)*t
t2=tt+bb*t
if t1<=t2:print("No")
else:print("YES") | Title: Carrot Cakes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In some game by Playrix it takes *t* minutes for an oven to bake *k* carrot cakes, all cakes are ready at the same moment *t* minutes after they started baking. Arkady needs at least *n* cakes to complete a task, but he currently don't have any. However, he has infinitely many ingredients and one oven. Moreover, Arkady can build one more similar oven to make the process faster, it would take *d* minutes to build the oven. While the new oven is being built, only old one can bake cakes, after the new oven is built, both ovens bake simultaneously. Arkady can't build more than one oven.
Determine if it is reasonable to build the second oven, i.e. will it decrease the minimum time needed to get *n* cakes or not. If the time needed with the second oven is the same as with one oven, then it is unreasonable.
Input Specification:
The only line contains four integers *n*, *t*, *k*, *d* (1<=≤<=*n*,<=*t*,<=*k*,<=*d*<=≤<=1<=000) — the number of cakes needed, the time needed for one oven to bake *k* cakes, the number of cakes baked at the same time, the time needed to build the second oven.
Output Specification:
If it is reasonable to build the second oven, print "YES". Otherwise print "NO".
Demo Input:
['8 6 4 5\n', '8 6 4 6\n', '10 3 11 4\n', '4 2 1 4\n']
Demo Output:
['YES\n', 'NO\n', 'NO\n', 'YES\n']
Note:
In the first example it is possible to get 8 cakes in 12 minutes using one oven. The second oven can be built in 5 minutes, so after 6 minutes the first oven bakes 4 cakes, the second oven bakes 4 more ovens after 11 minutes. Thus, it is reasonable to build the second oven.
In the second example it doesn't matter whether we build the second oven or not, thus it takes 12 minutes to bake 8 cakes in both cases. Thus, it is unreasonable to build the second oven.
In the third example the first oven bakes 11 cakes in 3 minutes, that is more than needed 10. It is unreasonable to build the second oven, because its building takes more time that baking the needed number of cakes using the only oven. | ```python
from math import ceil
n, t, k, d =map(int,input().split())
if n <=k:print("NO")
else:
t1=0;t2=0
t1=ceil(n/k)*t
bb=ceil(d/t)
sub=n-(bb*k)
tt=ceil(sub//2)*t
t2=tt+bb*t
if t1<=t2:print("No")
else:print("YES")
``` | 0 | |
628 | B | New Skateboard | PROGRAMMING | 1,300 | [
"dp"
] | null | null | Max wants to buy a new skateboard. He has calculated the amount of money that is needed to buy a new skateboard. He left a calculator on the floor and went to ask some money from his parents. Meanwhile his little brother Yusuf came and started to press the keys randomly. Unfortunately Max has forgotten the number which he had calculated. The only thing he knows is that the number is divisible by 4.
You are given a string *s* consisting of digits (the number on the display of the calculator after Yusuf randomly pressed the keys). Your task is to find the number of substrings which are divisible by 4. A substring can start with a zero.
A substring of a string is a nonempty sequence of consecutive characters.
For example if string *s* is 124 then we have four substrings that are divisible by 4: 12, 4, 24 and 124. For the string 04 the answer is three: 0, 4, 04.
As input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use gets/scanf/printf instead of getline/cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java. | The only line contains string *s* (1<=≤<=|*s*|<=≤<=3·105). The string *s* contains only digits from 0 to 9. | Print integer *a* — the number of substrings of the string *s* that are divisible by 4.
Note that the answer can be huge, so you should use 64-bit integer type to store it. In C++ you can use the long long integer type and in Java you can use long integer type. | [
"124\n",
"04\n",
"5810438174\n"
] | [
"4\n",
"3\n",
"9\n"
] | none | 0 | [
{
"input": "124",
"output": "4"
},
{
"input": "04",
"output": "3"
},
{
"input": "5810438174",
"output": "9"
},
{
"input": "1",
"output": "0"
},
{
"input": "039",
"output": "1"
},
{
"input": "97247",
"output": "6"
},
{
"input": "5810438174",... | 1,679,977,212 | 2,147,483,647 | Python 3 | OK | TESTS | 22 | 265 | 614,400 | a=input()
l=r=0
for i in range(len(a)):
r=l+(a[i]in'048')+i*(i and int(a[i-1:i+1])%4==0)
l=r
print(r)
| Title: New Skateboard
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Max wants to buy a new skateboard. He has calculated the amount of money that is needed to buy a new skateboard. He left a calculator on the floor and went to ask some money from his parents. Meanwhile his little brother Yusuf came and started to press the keys randomly. Unfortunately Max has forgotten the number which he had calculated. The only thing he knows is that the number is divisible by 4.
You are given a string *s* consisting of digits (the number on the display of the calculator after Yusuf randomly pressed the keys). Your task is to find the number of substrings which are divisible by 4. A substring can start with a zero.
A substring of a string is a nonempty sequence of consecutive characters.
For example if string *s* is 124 then we have four substrings that are divisible by 4: 12, 4, 24 and 124. For the string 04 the answer is three: 0, 4, 04.
As input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use gets/scanf/printf instead of getline/cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java.
Input Specification:
The only line contains string *s* (1<=≤<=|*s*|<=≤<=3·105). The string *s* contains only digits from 0 to 9.
Output Specification:
Print integer *a* — the number of substrings of the string *s* that are divisible by 4.
Note that the answer can be huge, so you should use 64-bit integer type to store it. In C++ you can use the long long integer type and in Java you can use long integer type.
Demo Input:
['124\n', '04\n', '5810438174\n']
Demo Output:
['4\n', '3\n', '9\n']
Note:
none | ```python
a=input()
l=r=0
for i in range(len(a)):
r=l+(a[i]in'048')+i*(i and int(a[i-1:i+1])%4==0)
l=r
print(r)
``` | 3 | |
651 | A | Joysticks | PROGRAMMING | 1,100 | [
"dp",
"greedy",
"implementation",
"math"
] | null | null | Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at *a*1 percent and second one is charged at *a*2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent. | The first line of the input contains two positive integers *a*1 and *a*2 (1<=≤<=*a*1,<=*a*2<=≤<=100), the initial charge level of first and second joystick respectively. | Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged. | [
"3 5\n",
"4 4\n"
] | [
"6\n",
"5\n"
] | In the first sample game lasts for 6 minute by using the following algorithm:
- at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%; - continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%; - at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%; - continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%; - at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%; - at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped. | 500 | [
{
"input": "3 5",
"output": "6"
},
{
"input": "4 4",
"output": "5"
},
{
"input": "100 100",
"output": "197"
},
{
"input": "1 100",
"output": "98"
},
{
"input": "100 1",
"output": "98"
},
{
"input": "1 4",
"output": "2"
},
{
"input": "1 1",
... | 1,623,950,979 | 2,147,483,647 | Python 3 | OK | TESTS | 39 | 62 | 0 | a,b=map(int,input().split())
m=0
if a==1 and b==1:
print("0")
else:
while a>0 and b>0:
if a==b:
a+=1
b-=2
m+=1
elif a==1:
a+=1
b-=2
m+=1
elif b==1:
b+=1
a-=2
m+=1
elif a>b:
b+=1
a-=2
m+=1
else:
a+=1
b-=2
m+=1
print(m) | Title: Joysticks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at *a*1 percent and second one is charged at *a*2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).
Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.
Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.
Input Specification:
The first line of the input contains two positive integers *a*1 and *a*2 (1<=≤<=*a*1,<=*a*2<=≤<=100), the initial charge level of first and second joystick respectively.
Output Specification:
Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.
Demo Input:
['3 5\n', '4 4\n']
Demo Output:
['6\n', '5\n']
Note:
In the first sample game lasts for 6 minute by using the following algorithm:
- at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%; - continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%; - at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%; - continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%; - at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%; - at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.
After that the first joystick is completely discharged and the game is stopped. | ```python
a,b=map(int,input().split())
m=0
if a==1 and b==1:
print("0")
else:
while a>0 and b>0:
if a==b:
a+=1
b-=2
m+=1
elif a==1:
a+=1
b-=2
m+=1
elif b==1:
b+=1
a-=2
m+=1
elif a>b:
b+=1
a-=2
m+=1
else:
a+=1
b-=2
m+=1
print(m)
``` | 3 | |
361 | A | Levko and Table | PROGRAMMING | 800 | [
"constructive algorithms",
"implementation"
] | null | null | Levko loves tables that consist of *n* rows and *n* columns very much. He especially loves beautiful tables. A table is beautiful to Levko if the sum of elements in each row and column of the table equals *k*.
Unfortunately, he doesn't know any such table. Your task is to help him to find at least one of them. | The single line contains two integers, *n* and *k* (1<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=1000). | Print any beautiful table. Levko doesn't like too big numbers, so all elements of the table mustn't exceed 1000 in their absolute value.
If there are multiple suitable tables, you are allowed to print any of them. | [
"2 4\n",
"4 7\n"
] | [
"1 3\n3 1\n",
"2 1 0 4\n4 0 2 1\n1 3 3 0\n0 3 2 2\n"
] | In the first sample the sum in the first row is 1 + 3 = 4, in the second row — 3 + 1 = 4, in the first column — 1 + 3 = 4 and in the second column — 3 + 1 = 4. There are other beautiful tables for this sample.
In the second sample the sum of elements in each row and each column equals 7. Besides, there are other tables that meet the statement requirements. | 500 | [
{
"input": "2 4",
"output": "4 0 \n0 4 "
},
{
"input": "4 7",
"output": "7 0 0 0 \n0 7 0 0 \n0 0 7 0 \n0 0 0 7 "
},
{
"input": "1 8",
"output": "8 "
},
{
"input": "9 3",
"output": "3 0 0 0 0 0 0 0 0 \n0 3 0 0 0 0 0 0 0 \n0 0 3 0 0 0 0 0 0 \n0 0 0 3 0 0 0 0 0 \n0 0 0 0 3 0... | 1,631,274,427 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 6,758,400 | n,s=input().split()
ans=[]
for i in range(int(n)):
x= [0]*int(n)
x[i]=int(s)
ans.append(x)
print(ans) | Title: Levko and Table
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Levko loves tables that consist of *n* rows and *n* columns very much. He especially loves beautiful tables. A table is beautiful to Levko if the sum of elements in each row and column of the table equals *k*.
Unfortunately, he doesn't know any such table. Your task is to help him to find at least one of them.
Input Specification:
The single line contains two integers, *n* and *k* (1<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=1000).
Output Specification:
Print any beautiful table. Levko doesn't like too big numbers, so all elements of the table mustn't exceed 1000 in their absolute value.
If there are multiple suitable tables, you are allowed to print any of them.
Demo Input:
['2 4\n', '4 7\n']
Demo Output:
['1 3\n3 1\n', '2 1 0 4\n4 0 2 1\n1 3 3 0\n0 3 2 2\n']
Note:
In the first sample the sum in the first row is 1 + 3 = 4, in the second row — 3 + 1 = 4, in the first column — 1 + 3 = 4 and in the second column — 3 + 1 = 4. There are other beautiful tables for this sample.
In the second sample the sum of elements in each row and each column equals 7. Besides, there are other tables that meet the statement requirements. | ```python
n,s=input().split()
ans=[]
for i in range(int(n)):
x= [0]*int(n)
x[i]=int(s)
ans.append(x)
print(ans)
``` | 0 | |
157 | B | Trace | PROGRAMMING | 1,000 | [
"geometry",
"sortings"
] | null | null | One day, as Sherlock Holmes was tracking down one very important criminal, he found a wonderful painting on the wall. This wall could be represented as a plane. The painting had several concentric circles that divided the wall into several parts. Some parts were painted red and all the other were painted blue. Besides, any two neighboring parts were painted different colors, that is, the red and the blue color were alternating, i. e. followed one after the other. The outer area of the wall (the area that lied outside all circles) was painted blue. Help Sherlock Holmes determine the total area of red parts of the wall.
Let us remind you that two circles are called concentric if their centers coincide. Several circles are called concentric if any two of them are concentric. | The first line contains the single integer *n* (1<=≤<=*n*<=≤<=100). The second line contains *n* space-separated integers *r**i* (1<=≤<=*r**i*<=≤<=1000) — the circles' radii. It is guaranteed that all circles are different. | Print the single real number — total area of the part of the wall that is painted red. The answer is accepted if absolute or relative error doesn't exceed 10<=-<=4. | [
"1\n1\n",
"3\n1 4 2\n"
] | [
"3.1415926536\n",
"40.8407044967\n"
] | In the first sample the picture is just one circle of radius 1. Inner part of the circle is painted red. The area of the red part equals π × 1<sup class="upper-index">2</sup> = π.
In the second sample there are three circles of radii 1, 4 and 2. Outside part of the second circle is painted blue. Part between the second and the third circles is painted red. Part between the first and the third is painted blue. And, finally, the inner part of the first circle is painted red. Overall there are two red parts: the ring between the second and the third circles and the inner part of the first circle. Total area of the red parts is equal (π × 4<sup class="upper-index">2</sup> - π × 2<sup class="upper-index">2</sup>) + π × 1<sup class="upper-index">2</sup> = π × 12 + π = 13π | 1,000 | [
{
"input": "1\n1",
"output": "3.1415926536"
},
{
"input": "3\n1 4 2",
"output": "40.8407044967"
},
{
"input": "4\n4 1 3 2",
"output": "31.4159265359"
},
{
"input": "4\n100 10 2 1",
"output": "31111.1920484997"
},
{
"input": "10\n10 9 8 7 6 5 4 3 2 1",
"output"... | 1,432,046,961 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 92 | 0 | import math
def solve():
n = int(input())
a = [int(x) for x in input().split()]
a.sort(reverse=True)
a += [0]
ans = 0
for i in range(0, n, 2):
ans += math.pi * (a[i] * a[i] - a[i-1] * a[i-1])
print(ans)
if __name__ == "__main__":
solve()
| Title: Trace
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day, as Sherlock Holmes was tracking down one very important criminal, he found a wonderful painting on the wall. This wall could be represented as a plane. The painting had several concentric circles that divided the wall into several parts. Some parts were painted red and all the other were painted blue. Besides, any two neighboring parts were painted different colors, that is, the red and the blue color were alternating, i. e. followed one after the other. The outer area of the wall (the area that lied outside all circles) was painted blue. Help Sherlock Holmes determine the total area of red parts of the wall.
Let us remind you that two circles are called concentric if their centers coincide. Several circles are called concentric if any two of them are concentric.
Input Specification:
The first line contains the single integer *n* (1<=≤<=*n*<=≤<=100). The second line contains *n* space-separated integers *r**i* (1<=≤<=*r**i*<=≤<=1000) — the circles' radii. It is guaranteed that all circles are different.
Output Specification:
Print the single real number — total area of the part of the wall that is painted red. The answer is accepted if absolute or relative error doesn't exceed 10<=-<=4.
Demo Input:
['1\n1\n', '3\n1 4 2\n']
Demo Output:
['3.1415926536\n', '40.8407044967\n']
Note:
In the first sample the picture is just one circle of radius 1. Inner part of the circle is painted red. The area of the red part equals π × 1<sup class="upper-index">2</sup> = π.
In the second sample there are three circles of radii 1, 4 and 2. Outside part of the second circle is painted blue. Part between the second and the third circles is painted red. Part between the first and the third is painted blue. And, finally, the inner part of the first circle is painted red. Overall there are two red parts: the ring between the second and the third circles and the inner part of the first circle. Total area of the red parts is equal (π × 4<sup class="upper-index">2</sup> - π × 2<sup class="upper-index">2</sup>) + π × 1<sup class="upper-index">2</sup> = π × 12 + π = 13π | ```python
import math
def solve():
n = int(input())
a = [int(x) for x in input().split()]
a.sort(reverse=True)
a += [0]
ans = 0
for i in range(0, n, 2):
ans += math.pi * (a[i] * a[i] - a[i-1] * a[i-1])
print(ans)
if __name__ == "__main__":
solve()
``` | 0 | |
194 | B | Square | PROGRAMMING | 1,200 | [
"math"
] | null | null | There is a square painted on a piece of paper, the square's side equals *n* meters. John Doe draws crosses on the square's perimeter. John paints the first cross in the lower left corner of the square. Then John moves along the square's perimeter in the clockwise direction (first upwards, then to the right, then downwards, then to the left and so on). Every time he walks (*n*<=+<=1) meters, he draws a cross (see picture for clarifications).
John Doe stops only when the lower left corner of the square has two crosses. How many crosses will John draw? | The first line contains integer *t* (1<=≤<=*t*<=≤<=104) — the number of test cases.
The second line contains *t* space-separated integers *n**i* (1<=≤<=*n**i*<=≤<=109) — the sides of the square for each test sample. | For each test sample print on a single line the answer to it, that is, the number of crosses John will draw as he will move along the square of the corresponding size. Print the answers to the samples in the order in which the samples are given in the input.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier. | [
"3\n4 8 100\n"
] | [
"17\n33\n401\n"
] | none | 1,000 | [
{
"input": "3\n4 8 100",
"output": "17\n33\n401"
},
{
"input": "8\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 13",
"output": "4000000001\n4000000001\n4000000001\n4000000001\n4000000001\n4000000001\n4000000001\n27"
},
{
"input": "3\n13 17 21",
"output... | 1,591,623,731 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 3 | 155 | 3,788,800 | input()
li = list(map(int, input().split()))
for x in li:
if x % 2:
print(2 * x + 1)
else:
print(4 * x + 1) | Title: Square
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There is a square painted on a piece of paper, the square's side equals *n* meters. John Doe draws crosses on the square's perimeter. John paints the first cross in the lower left corner of the square. Then John moves along the square's perimeter in the clockwise direction (first upwards, then to the right, then downwards, then to the left and so on). Every time he walks (*n*<=+<=1) meters, he draws a cross (see picture for clarifications).
John Doe stops only when the lower left corner of the square has two crosses. How many crosses will John draw?
Input Specification:
The first line contains integer *t* (1<=≤<=*t*<=≤<=104) — the number of test cases.
The second line contains *t* space-separated integers *n**i* (1<=≤<=*n**i*<=≤<=109) — the sides of the square for each test sample.
Output Specification:
For each test sample print on a single line the answer to it, that is, the number of crosses John will draw as he will move along the square of the corresponding size. Print the answers to the samples in the order in which the samples are given in the input.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
Demo Input:
['3\n4 8 100\n']
Demo Output:
['17\n33\n401\n']
Note:
none | ```python
input()
li = list(map(int, input().split()))
for x in li:
if x % 2:
print(2 * x + 1)
else:
print(4 * x + 1)
``` | 0 | |
222 | A | Shooshuns and Sequence | PROGRAMMING | 1,200 | [
"brute force",
"implementation"
] | null | null | One day shooshuns found a sequence of *n* integers, written on a blackboard. The shooshuns can perform one operation with it, the operation consists of two steps:
1. Find the number that goes *k*-th in the current sequence and add the same number to the end of the sequence; 1. Delete the first number of the current sequence.
The shooshuns wonder after how many operations all numbers on the board will be the same and whether all numbers will ever be the same. | The first line contains two space-separated integers *n* and *k* (1<=≤<=*k*<=≤<=*n*<=≤<=105).
The second line contains *n* space-separated integers: *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=105) — the sequence that the shooshuns found. | Print the minimum number of operations, required for all numbers on the blackboard to become the same. If it is impossible to achieve, print -1. | [
"3 2\n3 1 1\n",
"3 1\n3 1 1\n"
] | [
"1\n",
"-1\n"
] | In the first test case after the first operation the blackboard will have sequence [1, 1, 1]. So, one operation is enough to make all numbers the same. Thus, the answer equals one.
In the second test case the sequence will never consist of the same numbers. It will always contain at least two distinct numbers 3 and 1. Thus, the answer equals -1. | 500 | [
{
"input": "3 2\n3 1 1",
"output": "1"
},
{
"input": "3 1\n3 1 1",
"output": "-1"
},
{
"input": "1 1\n1",
"output": "0"
},
{
"input": "2 1\n1 1",
"output": "0"
},
{
"input": "2 1\n2 1",
"output": "-1"
},
{
"input": "4 4\n1 2 3 4",
"output": "3"
}... | 1,661,753,515 | 2,147,483,647 | PyPy 3-64 | TIME_LIMIT_EXCEEDED | TESTS | 6 | 2,000 | 18,022,400 | n,k=map(int,input().split(" "))
l=[int(f) for f in input().split(" ")]
if k==n:
print(k-1)
elif l[::-1][0]==l[::-1][1]:
count=2
for i in range(1,n-1):
if l[::-1][i]==l[::-1][i+1]:
count+=1
else:
break
if count==n:
print(0)
elif k>n-count:
print(n-count)
else:
print(-1)
else:
if k==1:
print(-1) | Title: Shooshuns and Sequence
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day shooshuns found a sequence of *n* integers, written on a blackboard. The shooshuns can perform one operation with it, the operation consists of two steps:
1. Find the number that goes *k*-th in the current sequence and add the same number to the end of the sequence; 1. Delete the first number of the current sequence.
The shooshuns wonder after how many operations all numbers on the board will be the same and whether all numbers will ever be the same.
Input Specification:
The first line contains two space-separated integers *n* and *k* (1<=≤<=*k*<=≤<=*n*<=≤<=105).
The second line contains *n* space-separated integers: *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=105) — the sequence that the shooshuns found.
Output Specification:
Print the minimum number of operations, required for all numbers on the blackboard to become the same. If it is impossible to achieve, print -1.
Demo Input:
['3 2\n3 1 1\n', '3 1\n3 1 1\n']
Demo Output:
['1\n', '-1\n']
Note:
In the first test case after the first operation the blackboard will have sequence [1, 1, 1]. So, one operation is enough to make all numbers the same. Thus, the answer equals one.
In the second test case the sequence will never consist of the same numbers. It will always contain at least two distinct numbers 3 and 1. Thus, the answer equals -1. | ```python
n,k=map(int,input().split(" "))
l=[int(f) for f in input().split(" ")]
if k==n:
print(k-1)
elif l[::-1][0]==l[::-1][1]:
count=2
for i in range(1,n-1):
if l[::-1][i]==l[::-1][i+1]:
count+=1
else:
break
if count==n:
print(0)
elif k>n-count:
print(n-count)
else:
print(-1)
else:
if k==1:
print(-1)
``` | 0 | |
505 | A | Mr. Kitayuta's Gift | PROGRAMMING | 1,100 | [
"brute force",
"implementation",
"strings"
] | null | null | Mr. Kitayuta has kindly given you a string *s* consisting of lowercase English letters. You are asked to insert exactly one lowercase English letter into *s* to make it a palindrome. A palindrome is a string that reads the same forward and backward. For example, "noon", "testset" and "a" are all palindromes, while "test" and "kitayuta" are not.
You can choose any lowercase English letter, and insert it to any position of *s*, possibly to the beginning or the end of *s*. You have to insert a letter even if the given string is already a palindrome.
If it is possible to insert one lowercase English letter into *s* so that the resulting string will be a palindrome, print the string after the insertion. Otherwise, print "NA" (without quotes, case-sensitive). In case there is more than one palindrome that can be obtained, you are allowed to print any of them. | The only line of the input contains a string *s* (1<=≤<=|*s*|<=≤<=10). Each character in *s* is a lowercase English letter. | If it is possible to turn *s* into a palindrome by inserting one lowercase English letter, print the resulting string in a single line. Otherwise, print "NA" (without quotes, case-sensitive). In case there is more than one solution, any of them will be accepted. | [
"revive\n",
"ee\n",
"kitayuta\n"
] | [
"reviver\n",
"eye",
"NA\n"
] | For the first sample, insert 'r' to the end of "revive" to obtain a palindrome "reviver".
For the second sample, there is more than one solution. For example, "eve" will also be accepted.
For the third sample, it is not possible to turn "kitayuta" into a palindrome by just inserting one letter. | 500 | [
{
"input": "revive",
"output": "reviver"
},
{
"input": "ee",
"output": "eee"
},
{
"input": "kitayuta",
"output": "NA"
},
{
"input": "evima",
"output": "NA"
},
{
"input": "a",
"output": "aa"
},
{
"input": "yutampo",
"output": "NA"
},
{
"inpu... | 1,422,577,299 | 2,147,483,647 | Python 3 | OK | TESTS | 40 | 62 | 0 | def ispal(s):
i = 0
j = len(s) - 1
while i < j:
if s[i] != s[j]:
return False
i += 1
j -= 1
return True
alpha = 'abcdefghijklmnopqrstuvwxyz'
found = 0
s = input()
for i in range(0,len(s)+1):
for j in range(len(alpha)):
temp = s[:i] + alpha[j] + s[i:]
if ispal(temp):
found = 1
print(temp)
break
if found:
break
if not found:
print("NA") | Title: Mr. Kitayuta's Gift
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mr. Kitayuta has kindly given you a string *s* consisting of lowercase English letters. You are asked to insert exactly one lowercase English letter into *s* to make it a palindrome. A palindrome is a string that reads the same forward and backward. For example, "noon", "testset" and "a" are all palindromes, while "test" and "kitayuta" are not.
You can choose any lowercase English letter, and insert it to any position of *s*, possibly to the beginning or the end of *s*. You have to insert a letter even if the given string is already a palindrome.
If it is possible to insert one lowercase English letter into *s* so that the resulting string will be a palindrome, print the string after the insertion. Otherwise, print "NA" (without quotes, case-sensitive). In case there is more than one palindrome that can be obtained, you are allowed to print any of them.
Input Specification:
The only line of the input contains a string *s* (1<=≤<=|*s*|<=≤<=10). Each character in *s* is a lowercase English letter.
Output Specification:
If it is possible to turn *s* into a palindrome by inserting one lowercase English letter, print the resulting string in a single line. Otherwise, print "NA" (without quotes, case-sensitive). In case there is more than one solution, any of them will be accepted.
Demo Input:
['revive\n', 'ee\n', 'kitayuta\n']
Demo Output:
['reviver\n', 'eye', 'NA\n']
Note:
For the first sample, insert 'r' to the end of "revive" to obtain a palindrome "reviver".
For the second sample, there is more than one solution. For example, "eve" will also be accepted.
For the third sample, it is not possible to turn "kitayuta" into a palindrome by just inserting one letter. | ```python
def ispal(s):
i = 0
j = len(s) - 1
while i < j:
if s[i] != s[j]:
return False
i += 1
j -= 1
return True
alpha = 'abcdefghijklmnopqrstuvwxyz'
found = 0
s = input()
for i in range(0,len(s)+1):
for j in range(len(alpha)):
temp = s[:i] + alpha[j] + s[i:]
if ispal(temp):
found = 1
print(temp)
break
if found:
break
if not found:
print("NA")
``` | 3 | |
607 | A | Chain Reaction | PROGRAMMING | 1,600 | [
"binary search",
"dp"
] | null | null | There are *n* beacons located at distinct positions on a number line. The *i*-th beacon has position *a**i* and power level *b**i*. When the *i*-th beacon is activated, it destroys all beacons to its left (direction of decreasing coordinates) within distance *b**i* inclusive. The beacon itself is not destroyed however. Saitama will activate the beacons one at a time from right to left. If a beacon is destroyed, it cannot be activated.
Saitama wants Genos to add a beacon strictly to the right of all the existing beacons, with any position and any power level, such that the least possible number of beacons are destroyed. Note that Genos's placement of the beacon means it will be the first beacon activated. Help Genos by finding the minimum number of beacons that could be destroyed. | The first line of input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the initial number of beacons.
The *i*-th of next *n* lines contains two integers *a**i* and *b**i* (0<=≤<=*a**i*<=≤<=1<=000<=000, 1<=≤<=*b**i*<=≤<=1<=000<=000) — the position and power level of the *i*-th beacon respectively. No two beacons will have the same position, so *a**i*<=≠<=*a**j* if *i*<=≠<=*j*. | Print a single integer — the minimum number of beacons that could be destroyed if exactly one beacon is added. | [
"4\n1 9\n3 1\n6 1\n7 4\n",
"7\n1 1\n2 1\n3 1\n4 1\n5 1\n6 1\n7 1\n"
] | [
"1\n",
"3\n"
] | For the first sample case, the minimum number of beacons destroyed is 1. One way to achieve this is to place a beacon at position 9 with power level 2.
For the second sample case, the minimum number of beacons destroyed is 3. One way to achieve this is to place a beacon at position 1337 with power level 42. | 500 | [
{
"input": "4\n1 9\n3 1\n6 1\n7 4",
"output": "1"
},
{
"input": "7\n1 1\n2 1\n3 1\n4 1\n5 1\n6 1\n7 1",
"output": "3"
},
{
"input": "1\n0 1",
"output": "0"
},
{
"input": "1\n0 1000000",
"output": "0"
},
{
"input": "1\n1000000 1000000",
"output": "0"
},
{
... | 1,681,265,733 | 2,147,483,647 | Python 3 | OK | TESTS | 41 | 561 | 8,499,200 | from sys import stdin
from bisect import bisect_left
def main():
n = int(input())
beacons = [tuple(map(int, input().split())) for _ in range(n)]
beacons.sort()
# dp[i] stores the number of beacons that can be saved when considering the beacons from the rightmost one to the i-th one
dp = [0] * n
for i in range(n):
last_undestroyed = bisect_left(beacons, (beacons[i][0] - beacons[i][1],)) - 1
dp[i] = 1 if last_undestroyed == -1 else dp[last_undestroyed] + 1
# The minimum number of beacons destroyed
ans = n - max(dp)
print(ans)
main()
| Title: Chain Reaction
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are *n* beacons located at distinct positions on a number line. The *i*-th beacon has position *a**i* and power level *b**i*. When the *i*-th beacon is activated, it destroys all beacons to its left (direction of decreasing coordinates) within distance *b**i* inclusive. The beacon itself is not destroyed however. Saitama will activate the beacons one at a time from right to left. If a beacon is destroyed, it cannot be activated.
Saitama wants Genos to add a beacon strictly to the right of all the existing beacons, with any position and any power level, such that the least possible number of beacons are destroyed. Note that Genos's placement of the beacon means it will be the first beacon activated. Help Genos by finding the minimum number of beacons that could be destroyed.
Input Specification:
The first line of input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the initial number of beacons.
The *i*-th of next *n* lines contains two integers *a**i* and *b**i* (0<=≤<=*a**i*<=≤<=1<=000<=000, 1<=≤<=*b**i*<=≤<=1<=000<=000) — the position and power level of the *i*-th beacon respectively. No two beacons will have the same position, so *a**i*<=≠<=*a**j* if *i*<=≠<=*j*.
Output Specification:
Print a single integer — the minimum number of beacons that could be destroyed if exactly one beacon is added.
Demo Input:
['4\n1 9\n3 1\n6 1\n7 4\n', '7\n1 1\n2 1\n3 1\n4 1\n5 1\n6 1\n7 1\n']
Demo Output:
['1\n', '3\n']
Note:
For the first sample case, the minimum number of beacons destroyed is 1. One way to achieve this is to place a beacon at position 9 with power level 2.
For the second sample case, the minimum number of beacons destroyed is 3. One way to achieve this is to place a beacon at position 1337 with power level 42. | ```python
from sys import stdin
from bisect import bisect_left
def main():
n = int(input())
beacons = [tuple(map(int, input().split())) for _ in range(n)]
beacons.sort()
# dp[i] stores the number of beacons that can be saved when considering the beacons from the rightmost one to the i-th one
dp = [0] * n
for i in range(n):
last_undestroyed = bisect_left(beacons, (beacons[i][0] - beacons[i][1],)) - 1
dp[i] = 1 if last_undestroyed == -1 else dp[last_undestroyed] + 1
# The minimum number of beacons destroyed
ans = n - max(dp)
print(ans)
main()
``` | 3 | |
768 | B | Code For 1 | PROGRAMMING | 1,600 | [
"constructive algorithms",
"dfs and similar",
"divide and conquer"
] | null | null | Jon fought bravely to rescue the wildlings who were attacked by the white-walkers at Hardhome. On his arrival, Sam tells him that he wants to go to Oldtown to train at the Citadel to become a maester, so he can return and take the deceased Aemon's place as maester of Castle Black. Jon agrees to Sam's proposal and Sam sets off his journey to the Citadel. However becoming a trainee at the Citadel is not a cakewalk and hence the maesters at the Citadel gave Sam a problem to test his eligibility.
Initially Sam has a list with a single element *n*. Then he has to perform certain operations on this list. In each operation Sam must remove any element *x*, such that *x*<=><=1, from the list and insert at the same position , , sequentially. He must continue with these operations until all the elements in the list are either 0 or 1.
Now the masters want the total number of 1s in the range *l* to *r* (1-indexed). Sam wants to become a maester but unfortunately he cannot solve this problem. Can you help Sam to pass the eligibility test? | The first line contains three integers *n*, *l*, *r* (0<=≤<=*n*<=<<=250, 0<=≤<=*r*<=-<=*l*<=≤<=105, *r*<=≥<=1, *l*<=≥<=1) – initial element and the range *l* to *r*.
It is guaranteed that *r* is not greater than the length of the final list. | Output the total number of 1s in the range *l* to *r* in the final sequence. | [
"7 2 5\n",
"10 3 10\n"
] | [
"4\n",
"5\n"
] | Consider first example:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/288fbb682a6fa1934a47b763d6851f9d32a06150.png" style="max-width: 100.0%;max-height: 100.0%;"/>
Elements on positions from 2-nd to 5-th in list is [1, 1, 1, 1]. The number of ones is 4.
For the second example:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/52e9bc51ef858cacc27fc274c7ba9419d5c1ded9.png" style="max-width: 100.0%;max-height: 100.0%;"/>
Elements on positions from 3-rd to 10-th in list is [1, 1, 1, 0, 1, 0, 1, 0]. The number of ones is 5. | 1,000 | [
{
"input": "7 2 5",
"output": "4"
},
{
"input": "10 3 10",
"output": "5"
},
{
"input": "56 18 40",
"output": "20"
},
{
"input": "203 40 124",
"output": "67"
},
{
"input": "903316762502 354723010040 354723105411",
"output": "78355"
},
{
"input": "335343... | 1,697,724,771 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 15 | 0 |
def final(n, l, r):
def manage(n):
seq=[n]
while True:
newseq = []
for item in seq:
if item!=0 and item !=1:
newseq.extend([round(item / 2), item % 2, round(item / 2)])
seq=newseq
flag = False
for item in seq:
if item > 1:
flag = True
if not flag:
break
return seq
def count(seq,l,r):
count=0
for item in seq[l:r+1]:
if item==1:
count+=bin(item).count('1')
return count
seq=manage(n)
return count(seq,l,r)
| Title: Code For 1
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Jon fought bravely to rescue the wildlings who were attacked by the white-walkers at Hardhome. On his arrival, Sam tells him that he wants to go to Oldtown to train at the Citadel to become a maester, so he can return and take the deceased Aemon's place as maester of Castle Black. Jon agrees to Sam's proposal and Sam sets off his journey to the Citadel. However becoming a trainee at the Citadel is not a cakewalk and hence the maesters at the Citadel gave Sam a problem to test his eligibility.
Initially Sam has a list with a single element *n*. Then he has to perform certain operations on this list. In each operation Sam must remove any element *x*, such that *x*<=><=1, from the list and insert at the same position , , sequentially. He must continue with these operations until all the elements in the list are either 0 or 1.
Now the masters want the total number of 1s in the range *l* to *r* (1-indexed). Sam wants to become a maester but unfortunately he cannot solve this problem. Can you help Sam to pass the eligibility test?
Input Specification:
The first line contains three integers *n*, *l*, *r* (0<=≤<=*n*<=<<=250, 0<=≤<=*r*<=-<=*l*<=≤<=105, *r*<=≥<=1, *l*<=≥<=1) – initial element and the range *l* to *r*.
It is guaranteed that *r* is not greater than the length of the final list.
Output Specification:
Output the total number of 1s in the range *l* to *r* in the final sequence.
Demo Input:
['7 2 5\n', '10 3 10\n']
Demo Output:
['4\n', '5\n']
Note:
Consider first example:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/288fbb682a6fa1934a47b763d6851f9d32a06150.png" style="max-width: 100.0%;max-height: 100.0%;"/>
Elements on positions from 2-nd to 5-th in list is [1, 1, 1, 1]. The number of ones is 4.
For the second example:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/52e9bc51ef858cacc27fc274c7ba9419d5c1ded9.png" style="max-width: 100.0%;max-height: 100.0%;"/>
Elements on positions from 3-rd to 10-th in list is [1, 1, 1, 0, 1, 0, 1, 0]. The number of ones is 5. | ```python
def final(n, l, r):
def manage(n):
seq=[n]
while True:
newseq = []
for item in seq:
if item!=0 and item !=1:
newseq.extend([round(item / 2), item % 2, round(item / 2)])
seq=newseq
flag = False
for item in seq:
if item > 1:
flag = True
if not flag:
break
return seq
def count(seq,l,r):
count=0
for item in seq[l:r+1]:
if item==1:
count+=bin(item).count('1')
return count
seq=manage(n)
return count(seq,l,r)
``` | 0 | |
409 | H | A + B Strikes Back | PROGRAMMING | 1,500 | [
"*special",
"brute force",
"constructive algorithms",
"dsu",
"implementation"
] | null | null | A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? | The input contains two integers *a* and *b* (0<=≤<=*a*,<=*b*<=≤<=103), separated by a single space. | Output the sum of the given integers. | [
"5 14\n",
"381 492\n"
] | [
"19\n",
"873\n"
] | none | 0 | [
{
"input": "5 14",
"output": "19"
},
{
"input": "381 492",
"output": "873"
},
{
"input": "536 298",
"output": "834"
},
{
"input": "143 522",
"output": "665"
},
{
"input": "433 126",
"output": "559"
},
{
"input": "723 350",
"output": "1073"
},
{... | 1,644,839,253 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 0 | 0 | a,b=map(int,input().split())
c=2
print(a+b) | Title: A + B Strikes Back
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try?
Input Specification:
The input contains two integers *a* and *b* (0<=≤<=*a*,<=*b*<=≤<=103), separated by a single space.
Output Specification:
Output the sum of the given integers.
Demo Input:
['5 14\n', '381 492\n']
Demo Output:
['19\n', '873\n']
Note:
none | ```python
a,b=map(int,input().split())
c=2
print(a+b)
``` | 0 | |
94 | A | Restoring Password | PROGRAMMING | 900 | [
"implementation",
"strings"
] | A. Restoring Password | 2 | 256 | Igor K. always used to trust his favorite Kashpirovsky Antivirus. That is why he didn't hesitate to download the link one of his groupmates sent him via QIP Infinium. The link was said to contain "some real funny stuff about swine influenza". The antivirus had no objections and Igor K. run the flash application he had downloaded. Immediately his QIP Infinium said: "invalid login/password".
Igor K. entered the ISQ from his additional account and looked at the info of his main one. His name and surname changed to "H1N1" and "Infected" correspondingly, and the "Additional Information" field contained a strange-looking binary code 80 characters in length, consisting of zeroes and ones. "I've been hacked" — thought Igor K. and run the Internet Exploiter browser to quickly type his favourite search engine's address.
Soon he learned that it really was a virus that changed ISQ users' passwords. Fortunately, he soon found out that the binary code was actually the encrypted password where each group of 10 characters stood for one decimal digit. Accordingly, the original password consisted of 8 decimal digits.
Help Igor K. restore his ISQ account by the encrypted password and encryption specification. | The input data contains 11 lines. The first line represents the binary code 80 characters in length. That is the code written in Igor K.'s ISQ account's info. Next 10 lines contain pairwise distinct binary codes 10 characters in length, corresponding to numbers 0, 1, ..., 9. | Print one line containing 8 characters — The password to Igor K.'s ISQ account. It is guaranteed that the solution exists. | [
"01001100100101100000010110001001011001000101100110010110100001011010100101101100\n0100110000\n0100110010\n0101100000\n0101100010\n0101100100\n0101100110\n0101101000\n0101101010\n0101101100\n0101101110\n",
"10101101111001000010100100011010101101110010110111011000100011011110010110001000\n1001000010\n1101111001\n1... | [
"12345678\n",
"30234919\n"
] | none | 500 | [
{
"input": "01001100100101100000010110001001011001000101100110010110100001011010100101101100\n0100110000\n0100110010\n0101100000\n0101100010\n0101100100\n0101100110\n0101101000\n0101101010\n0101101100\n0101101110",
"output": "12345678"
},
{
"input": "1010110111100100001010010001101010110111001011011... | 1,697,709,407 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 50 | 124 | 0 | n=input()
m=[]
seq_size = 10
seq_num = 8
a=''
for i in range(seq_num):
m.append(n[i*seq_size:(i+1)*seq_size])
mas=[]
for i in range(10):
l=input()
mas.append(l)
for i in m:
a+=str(mas.index(i))
print(a) | Title: Restoring Password
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Igor K. always used to trust his favorite Kashpirovsky Antivirus. That is why he didn't hesitate to download the link one of his groupmates sent him via QIP Infinium. The link was said to contain "some real funny stuff about swine influenza". The antivirus had no objections and Igor K. run the flash application he had downloaded. Immediately his QIP Infinium said: "invalid login/password".
Igor K. entered the ISQ from his additional account and looked at the info of his main one. His name and surname changed to "H1N1" and "Infected" correspondingly, and the "Additional Information" field contained a strange-looking binary code 80 characters in length, consisting of zeroes and ones. "I've been hacked" — thought Igor K. and run the Internet Exploiter browser to quickly type his favourite search engine's address.
Soon he learned that it really was a virus that changed ISQ users' passwords. Fortunately, he soon found out that the binary code was actually the encrypted password where each group of 10 characters stood for one decimal digit. Accordingly, the original password consisted of 8 decimal digits.
Help Igor K. restore his ISQ account by the encrypted password and encryption specification.
Input Specification:
The input data contains 11 lines. The first line represents the binary code 80 characters in length. That is the code written in Igor K.'s ISQ account's info. Next 10 lines contain pairwise distinct binary codes 10 characters in length, corresponding to numbers 0, 1, ..., 9.
Output Specification:
Print one line containing 8 characters — The password to Igor K.'s ISQ account. It is guaranteed that the solution exists.
Demo Input:
['01001100100101100000010110001001011001000101100110010110100001011010100101101100\n0100110000\n0100110010\n0101100000\n0101100010\n0101100100\n0101100110\n0101101000\n0101101010\n0101101100\n0101101110\n', '10101101111001000010100100011010101101110010110111011000100011011110010110001000\n1001000010\n1101111001\n1001000110\n1010110111\n0010110111\n1101001101\n1011000001\n1110010101\n1011011000\n0110001000\n']
Demo Output:
['12345678\n', '30234919\n']
Note:
none | ```python
n=input()
m=[]
seq_size = 10
seq_num = 8
a=''
for i in range(seq_num):
m.append(n[i*seq_size:(i+1)*seq_size])
mas=[]
for i in range(10):
l=input()
mas.append(l)
for i in m:
a+=str(mas.index(i))
print(a)
``` | 3.969 |
499 | B | Lecture | PROGRAMMING | 1,000 | [
"implementation",
"strings"
] | null | null | You have a new professor of graph theory and he speaks very quickly. You come up with the following plan to keep up with his lecture and make notes.
You know two languages, and the professor is giving the lecture in the first one. The words in both languages consist of lowercase English characters, each language consists of several words. For each language, all words are distinct, i.e. they are spelled differently. Moreover, the words of these languages have a one-to-one correspondence, that is, for each word in each language, there exists exactly one word in the other language having has the same meaning.
You can write down every word the professor says in either the first language or the second language. Of course, during the lecture you write down each word in the language in which the word is shorter. In case of equal lengths of the corresponding words you prefer the word of the first language.
You are given the text of the lecture the professor is going to read. Find out how the lecture will be recorded in your notes. | The first line contains two integers, *n* and *m* (1<=≤<=*n*<=≤<=3000, 1<=≤<=*m*<=≤<=3000) — the number of words in the professor's lecture and the number of words in each of these languages.
The following *m* lines contain the words. The *i*-th line contains two strings *a**i*, *b**i* meaning that the word *a**i* belongs to the first language, the word *b**i* belongs to the second language, and these two words have the same meaning. It is guaranteed that no word occurs in both languages, and each word occurs in its language exactly once.
The next line contains *n* space-separated strings *c*1,<=*c*2,<=...,<=*c**n* — the text of the lecture. It is guaranteed that each of the strings *c**i* belongs to the set of strings {*a*1,<=*a*2,<=... *a**m*}.
All the strings in the input are non-empty, each consisting of no more than 10 lowercase English letters. | Output exactly *n* words: how you will record the lecture in your notebook. Output the words of the lecture in the same order as in the input. | [
"4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest\n",
"5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll\n"
] | [
"codeforces round letter round\n",
"hbnyiyc joll joll un joll\n"
] | none | 500 | [
{
"input": "4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest",
"output": "codeforces round letter round"
},
{
"input": "5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll",
"output": "hbnyiyc joll joll un joll"
},
{
"input"... | 1,698,690,299 | 2,147,483,647 | Python 3 | OK | TESTS | 37 | 358 | 819,200 | IN = lambda x:list(map(x, input().split()))
n, m = IN(x = int)
l1 = []
l2 = []
for x in range(m):
a,b = IN(x = str)
l1 += [a]; l2 += [b]
for y in input().split():
if y in l1:
if len(l2[l1.index(y)]) < len(y): print(l2[l1.index(y)], end = " ")
else: print(y, end = " ")
else:
if len(l1[l2.index(y)]) <= len(y): print(l1[l2.index(y)], end = " ")
else: print(y, end = " ") | Title: Lecture
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have a new professor of graph theory and he speaks very quickly. You come up with the following plan to keep up with his lecture and make notes.
You know two languages, and the professor is giving the lecture in the first one. The words in both languages consist of lowercase English characters, each language consists of several words. For each language, all words are distinct, i.e. they are spelled differently. Moreover, the words of these languages have a one-to-one correspondence, that is, for each word in each language, there exists exactly one word in the other language having has the same meaning.
You can write down every word the professor says in either the first language or the second language. Of course, during the lecture you write down each word in the language in which the word is shorter. In case of equal lengths of the corresponding words you prefer the word of the first language.
You are given the text of the lecture the professor is going to read. Find out how the lecture will be recorded in your notes.
Input Specification:
The first line contains two integers, *n* and *m* (1<=≤<=*n*<=≤<=3000, 1<=≤<=*m*<=≤<=3000) — the number of words in the professor's lecture and the number of words in each of these languages.
The following *m* lines contain the words. The *i*-th line contains two strings *a**i*, *b**i* meaning that the word *a**i* belongs to the first language, the word *b**i* belongs to the second language, and these two words have the same meaning. It is guaranteed that no word occurs in both languages, and each word occurs in its language exactly once.
The next line contains *n* space-separated strings *c*1,<=*c*2,<=...,<=*c**n* — the text of the lecture. It is guaranteed that each of the strings *c**i* belongs to the set of strings {*a*1,<=*a*2,<=... *a**m*}.
All the strings in the input are non-empty, each consisting of no more than 10 lowercase English letters.
Output Specification:
Output exactly *n* words: how you will record the lecture in your notebook. Output the words of the lecture in the same order as in the input.
Demo Input:
['4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest\n', '5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll\n']
Demo Output:
['codeforces round letter round\n', 'hbnyiyc joll joll un joll\n']
Note:
none | ```python
IN = lambda x:list(map(x, input().split()))
n, m = IN(x = int)
l1 = []
l2 = []
for x in range(m):
a,b = IN(x = str)
l1 += [a]; l2 += [b]
for y in input().split():
if y in l1:
if len(l2[l1.index(y)]) < len(y): print(l2[l1.index(y)], end = " ")
else: print(y, end = " ")
else:
if len(l1[l2.index(y)]) <= len(y): print(l1[l2.index(y)], end = " ")
else: print(y, end = " ")
``` | 3 | |
465 | A | inc ARG | PROGRAMMING | 900 | [
"implementation"
] | null | null | Sergey is testing a next-generation processor. Instead of bytes the processor works with memory cells consisting of *n* bits. These bits are numbered from 1 to *n*. An integer is stored in the cell in the following way: the least significant bit is stored in the first bit of the cell, the next significant bit is stored in the second bit, and so on; the most significant bit is stored in the *n*-th bit.
Now Sergey wants to test the following instruction: "add 1 to the value of the cell". As a result of the instruction, the integer that is written in the cell must be increased by one; if some of the most significant bits of the resulting number do not fit into the cell, they must be discarded.
Sergey wrote certain values of the bits in the cell and is going to add one to its value. How many bits of the cell will change after the operation? | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of bits in the cell.
The second line contains a string consisting of *n* characters — the initial state of the cell. The first character denotes the state of the first bit of the cell. The second character denotes the second least significant bit and so on. The last character denotes the state of the most significant bit. | Print a single integer — the number of bits in the cell which change their state after we add 1 to the cell. | [
"4\n1100\n",
"4\n1111\n"
] | [
"3\n",
"4\n"
] | In the first sample the cell ends up with value 0010, in the second sample — with 0000. | 500 | [
{
"input": "4\n1100",
"output": "3"
},
{
"input": "4\n1111",
"output": "4"
},
{
"input": "1\n0",
"output": "1"
},
{
"input": "1\n1",
"output": "1"
},
{
"input": "2\n00",
"output": "1"
},
{
"input": "2\n01",
"output": "1"
},
{
"input": "2\n1... | 1,688,650,266 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 29 | 61 | 0 | import sys
input = sys.stdin.readline
n = int(input())
data = input().rstrip()[::-1]
tmp = bin(int(data, 2) + 1)[2:]
tmp = (n - len(tmp)) * '0' + tmp
cnt = 0
for i in range(n):
if data[-(i + 1)] != tmp[-(i + 1)]:
cnt += 1
print(cnt)
| Title: inc ARG
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Sergey is testing a next-generation processor. Instead of bytes the processor works with memory cells consisting of *n* bits. These bits are numbered from 1 to *n*. An integer is stored in the cell in the following way: the least significant bit is stored in the first bit of the cell, the next significant bit is stored in the second bit, and so on; the most significant bit is stored in the *n*-th bit.
Now Sergey wants to test the following instruction: "add 1 to the value of the cell". As a result of the instruction, the integer that is written in the cell must be increased by one; if some of the most significant bits of the resulting number do not fit into the cell, they must be discarded.
Sergey wrote certain values of the bits in the cell and is going to add one to its value. How many bits of the cell will change after the operation?
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of bits in the cell.
The second line contains a string consisting of *n* characters — the initial state of the cell. The first character denotes the state of the first bit of the cell. The second character denotes the second least significant bit and so on. The last character denotes the state of the most significant bit.
Output Specification:
Print a single integer — the number of bits in the cell which change their state after we add 1 to the cell.
Demo Input:
['4\n1100\n', '4\n1111\n']
Demo Output:
['3\n', '4\n']
Note:
In the first sample the cell ends up with value 0010, in the second sample — with 0000. | ```python
import sys
input = sys.stdin.readline
n = int(input())
data = input().rstrip()[::-1]
tmp = bin(int(data, 2) + 1)[2:]
tmp = (n - len(tmp)) * '0' + tmp
cnt = 0
for i in range(n):
if data[-(i + 1)] != tmp[-(i + 1)]:
cnt += 1
print(cnt)
``` | 3 | |
987 | A | Infinity Gauntlet | PROGRAMMING | 800 | [
"implementation"
] | null | null | You took a peek on Thanos wearing Infinity Gauntlet. In the Gauntlet there is a place for six Infinity Gems:
- the Power Gem of purple color, - the Time Gem of green color, - the Space Gem of blue color, - the Soul Gem of orange color, - the Reality Gem of red color, - the Mind Gem of yellow color.
Using colors of Gems you saw in the Gauntlet determine the names of absent Gems. | In the first line of input there is one integer $n$ ($0 \le n \le 6$) — the number of Gems in Infinity Gauntlet.
In next $n$ lines there are colors of Gems you saw. Words used for colors are: purple, green, blue, orange, red, yellow. It is guaranteed that all the colors are distinct. All colors are given in lowercase English letters. | In the first line output one integer $m$ ($0 \le m \le 6$) — the number of absent Gems.
Then in $m$ lines print the names of absent Gems, each on its own line. Words used for names are: Power, Time, Space, Soul, Reality, Mind. Names can be printed in any order. Keep the first letter uppercase, others lowercase. | [
"4\nred\npurple\nyellow\norange\n",
"0\n"
] | [
"2\nSpace\nTime\n",
"6\nTime\nMind\nSoul\nPower\nReality\nSpace\n"
] | In the first sample Thanos already has Reality, Power, Mind and Soul Gems, so he needs two more: Time and Space.
In the second sample Thanos doesn't have any Gems, so he needs all six. | 500 | [
{
"input": "4\nred\npurple\nyellow\norange",
"output": "2\nSpace\nTime"
},
{
"input": "0",
"output": "6\nMind\nSpace\nPower\nTime\nReality\nSoul"
},
{
"input": "6\npurple\nblue\nyellow\nred\ngreen\norange",
"output": "0"
},
{
"input": "1\npurple",
"output": "5\nTime\nReal... | 1,581,040,004 | 2,147,483,647 | Python 3 | OK | TESTS | 64 | 124 | 0 | a=['purple', 'green', 'blue', 'orange', 'red', 'yellow']
b=['Power', 'Time', 'Space', 'Soul', 'Reality', 'Mind']
n=int(input())
c=[input() for _ in [0]*n]
d=[b[x] for x,y in enumerate(a) if y not in c]
print(len(d),*d,sep='\n') | Title: Infinity Gauntlet
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You took a peek on Thanos wearing Infinity Gauntlet. In the Gauntlet there is a place for six Infinity Gems:
- the Power Gem of purple color, - the Time Gem of green color, - the Space Gem of blue color, - the Soul Gem of orange color, - the Reality Gem of red color, - the Mind Gem of yellow color.
Using colors of Gems you saw in the Gauntlet determine the names of absent Gems.
Input Specification:
In the first line of input there is one integer $n$ ($0 \le n \le 6$) — the number of Gems in Infinity Gauntlet.
In next $n$ lines there are colors of Gems you saw. Words used for colors are: purple, green, blue, orange, red, yellow. It is guaranteed that all the colors are distinct. All colors are given in lowercase English letters.
Output Specification:
In the first line output one integer $m$ ($0 \le m \le 6$) — the number of absent Gems.
Then in $m$ lines print the names of absent Gems, each on its own line. Words used for names are: Power, Time, Space, Soul, Reality, Mind. Names can be printed in any order. Keep the first letter uppercase, others lowercase.
Demo Input:
['4\nred\npurple\nyellow\norange\n', '0\n']
Demo Output:
['2\nSpace\nTime\n', '6\nTime\nMind\nSoul\nPower\nReality\nSpace\n']
Note:
In the first sample Thanos already has Reality, Power, Mind and Soul Gems, so he needs two more: Time and Space.
In the second sample Thanos doesn't have any Gems, so he needs all six. | ```python
a=['purple', 'green', 'blue', 'orange', 'red', 'yellow']
b=['Power', 'Time', 'Space', 'Soul', 'Reality', 'Mind']
n=int(input())
c=[input() for _ in [0]*n]
d=[b[x] for x,y in enumerate(a) if y not in c]
print(len(d),*d,sep='\n')
``` | 3 | |
507 | C | Guess Your Way Out! | PROGRAMMING | 1,700 | [
"implementation",
"math",
"trees"
] | null | null | Amr bought a new video game "Guess Your Way Out!". The goal of the game is to find an exit from the maze that looks like a perfect binary tree of height *h*. The player is initially standing at the root of the tree and the exit from the tree is located at some leaf node.
Let's index all the leaf nodes from the left to the right from 1 to 2*h*. The exit is located at some node *n* where 1<=≤<=*n*<=≤<=2*h*, the player doesn't know where the exit is so he has to guess his way out!
Amr follows simple algorithm to choose the path. Let's consider infinite command string "LRLRLRLRL..." (consisting of alternating characters 'L' and 'R'). Amr sequentially executes the characters of the string using following rules:
- Character 'L' means "go to the left child of the current node"; - Character 'R' means "go to the right child of the current node"; - If the destination node is already visited, Amr skips current command, otherwise he moves to the destination node; - If Amr skipped two consecutive commands, he goes back to the parent of the current node before executing next command; - If he reached a leaf node that is not the exit, he returns to the parent of the current node; - If he reaches an exit, the game is finished.
Now Amr wonders, if he follows this algorithm, how many nodes he is going to visit before reaching the exit? | Input consists of two integers *h*,<=*n* (1<=≤<=*h*<=≤<=50, 1<=≤<=*n*<=≤<=2*h*). | Output a single integer representing the number of nodes (excluding the exit node) Amr is going to visit before reaching the exit by following this algorithm. | [
"1 2\n",
"2 3\n",
"3 6\n",
"10 1024\n"
] | [
"2",
"5",
"10",
"2046"
] | A perfect binary tree of height *h* is a binary tree consisting of *h* + 1 levels. Level 0 consists of a single node called root, level *h* consists of 2<sup class="upper-index">*h*</sup> nodes called leaves. Each node that is not a leaf has exactly two children, left and right one.
Following picture illustrates the sample test number 3. Nodes are labeled according to the order of visit.
<img class="tex-graphics" src="https://espresso.codeforces.com/e9d0715dc8cd9b4f6ac7a0fb137563f857660adc.png" style="max-width: 100.0%;max-height: 100.0%;"/> | 1,500 | [
{
"input": "1 2",
"output": "2"
},
{
"input": "2 3",
"output": "5"
},
{
"input": "3 6",
"output": "10"
},
{
"input": "10 1024",
"output": "2046"
},
{
"input": "10 577",
"output": "1345"
},
{
"input": "11 550",
"output": "408"
},
{
"input": ... | 1,606,941,942 | 2,147,483,647 | PyPy 3 | OK | TESTS | 62 | 140 | 0 | import sys
import math
MAXNUM = math.inf
MINNUM = -1 * math.inf
ASCIILOWER = 97
ASCIIUPPER = 65
def getInt():
return int(sys.stdin.readline().rstrip())
def getInts():
return map(int, sys.stdin.readline().rstrip().split(" "))
def getString():
return sys.stdin.readline().rstrip()
def printOutput(ans):
sys.stdout.write(str(ans) + "\n")
def solve(h, n):
heightNodes = [1 for _ in range(51)]
for height in range(1, 51):
heightNodes[height] = 2 ** height + heightNodes[height - 1]
curPos = 2 ** (h - 1)
depth = h
add = 2 ** (h - 1)
direction = -1
total = 0 # visited root
while True:
if depth == 0:
break
if (curPos >= n and direction == -1) or (
curPos < n and direction == 1
): # this means n is to the left
total += 1
depth -= 1
add //= 2
curPos += direction * (add)
else:
total += heightNodes[depth - 1]
direction *= -1
return total
def readinput():
h, n = getInts()
printOutput(solve(h, n))
readinput()
| Title: Guess Your Way Out!
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Amr bought a new video game "Guess Your Way Out!". The goal of the game is to find an exit from the maze that looks like a perfect binary tree of height *h*. The player is initially standing at the root of the tree and the exit from the tree is located at some leaf node.
Let's index all the leaf nodes from the left to the right from 1 to 2*h*. The exit is located at some node *n* where 1<=≤<=*n*<=≤<=2*h*, the player doesn't know where the exit is so he has to guess his way out!
Amr follows simple algorithm to choose the path. Let's consider infinite command string "LRLRLRLRL..." (consisting of alternating characters 'L' and 'R'). Amr sequentially executes the characters of the string using following rules:
- Character 'L' means "go to the left child of the current node"; - Character 'R' means "go to the right child of the current node"; - If the destination node is already visited, Amr skips current command, otherwise he moves to the destination node; - If Amr skipped two consecutive commands, he goes back to the parent of the current node before executing next command; - If he reached a leaf node that is not the exit, he returns to the parent of the current node; - If he reaches an exit, the game is finished.
Now Amr wonders, if he follows this algorithm, how many nodes he is going to visit before reaching the exit?
Input Specification:
Input consists of two integers *h*,<=*n* (1<=≤<=*h*<=≤<=50, 1<=≤<=*n*<=≤<=2*h*).
Output Specification:
Output a single integer representing the number of nodes (excluding the exit node) Amr is going to visit before reaching the exit by following this algorithm.
Demo Input:
['1 2\n', '2 3\n', '3 6\n', '10 1024\n']
Demo Output:
['2', '5', '10', '2046']
Note:
A perfect binary tree of height *h* is a binary tree consisting of *h* + 1 levels. Level 0 consists of a single node called root, level *h* consists of 2<sup class="upper-index">*h*</sup> nodes called leaves. Each node that is not a leaf has exactly two children, left and right one.
Following picture illustrates the sample test number 3. Nodes are labeled according to the order of visit.
<img class="tex-graphics" src="https://espresso.codeforces.com/e9d0715dc8cd9b4f6ac7a0fb137563f857660adc.png" style="max-width: 100.0%;max-height: 100.0%;"/> | ```python
import sys
import math
MAXNUM = math.inf
MINNUM = -1 * math.inf
ASCIILOWER = 97
ASCIIUPPER = 65
def getInt():
return int(sys.stdin.readline().rstrip())
def getInts():
return map(int, sys.stdin.readline().rstrip().split(" "))
def getString():
return sys.stdin.readline().rstrip()
def printOutput(ans):
sys.stdout.write(str(ans) + "\n")
def solve(h, n):
heightNodes = [1 for _ in range(51)]
for height in range(1, 51):
heightNodes[height] = 2 ** height + heightNodes[height - 1]
curPos = 2 ** (h - 1)
depth = h
add = 2 ** (h - 1)
direction = -1
total = 0 # visited root
while True:
if depth == 0:
break
if (curPos >= n and direction == -1) or (
curPos < n and direction == 1
): # this means n is to the left
total += 1
depth -= 1
add //= 2
curPos += direction * (add)
else:
total += heightNodes[depth - 1]
direction *= -1
return total
def readinput():
h, n = getInts()
printOutput(solve(h, n))
readinput()
``` | 3 | |
584 | A | Olesya and Rodion | PROGRAMMING | 1,000 | [
"math"
] | null | null | Olesya loves numbers consisting of *n* digits, and Rodion only likes numbers that are divisible by *t*. Find some number that satisfies both of them.
Your task is: given the *n* and *t* print an integer strictly larger than zero consisting of *n* digits that is divisible by *t*. If such number doesn't exist, print <=-<=1. | The single line contains two numbers, *n* and *t* (1<=≤<=*n*<=≤<=100, 2<=≤<=*t*<=≤<=10) — the length of the number and the number it should be divisible by. | Print one such positive number without leading zeroes, — the answer to the problem, or <=-<=1, if such number doesn't exist. If there are multiple possible answers, you are allowed to print any of them. | [
"3 2\n"
] | [
"712"
] | none | 500 | [
{
"input": "3 2",
"output": "222"
},
{
"input": "2 2",
"output": "22"
},
{
"input": "4 3",
"output": "3333"
},
{
"input": "5 3",
"output": "33333"
},
{
"input": "10 7",
"output": "7777777777"
},
{
"input": "2 9",
"output": "99"
},
{
"input"... | 1,696,287,260 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 65 | 62 | 0 | n,k = map(int,input().split())
if n==1 and k==10:
print(-1)
elif k==10:
print('1'+'0'*(n-1))
else:
print(str(k)*n) | Title: Olesya and Rodion
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Olesya loves numbers consisting of *n* digits, and Rodion only likes numbers that are divisible by *t*. Find some number that satisfies both of them.
Your task is: given the *n* and *t* print an integer strictly larger than zero consisting of *n* digits that is divisible by *t*. If such number doesn't exist, print <=-<=1.
Input Specification:
The single line contains two numbers, *n* and *t* (1<=≤<=*n*<=≤<=100, 2<=≤<=*t*<=≤<=10) — the length of the number and the number it should be divisible by.
Output Specification:
Print one such positive number without leading zeroes, — the answer to the problem, or <=-<=1, if such number doesn't exist. If there are multiple possible answers, you are allowed to print any of them.
Demo Input:
['3 2\n']
Demo Output:
['712']
Note:
none | ```python
n,k = map(int,input().split())
if n==1 and k==10:
print(-1)
elif k==10:
print('1'+'0'*(n-1))
else:
print(str(k)*n)
``` | 3 | |
793 | A | Oleg and shares | PROGRAMMING | 900 | [
"implementation",
"math"
] | null | null | Oleg the bank client checks share prices every day. There are *n* share prices he is interested in. Today he observed that each second exactly one of these prices decreases by *k* rubles (note that each second exactly one price changes, but at different seconds different prices can change). Prices can become negative. Oleg found this process interesting, and he asked Igor the financial analyst, what is the minimum time needed for all *n* prices to become equal, or it is impossible at all? Igor is busy right now, so he asked you to help Oleg. Can you answer this question? | The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=105,<=1<=≤<=*k*<=≤<=109) — the number of share prices, and the amount of rubles some price decreases each second.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the initial prices. | Print the only line containing the minimum number of seconds needed for prices to become equal, of «-1» if it is impossible. | [
"3 3\n12 9 15\n",
"2 2\n10 9\n",
"4 1\n1 1000000000 1000000000 1000000000\n"
] | [
"3",
"-1",
"2999999997"
] | Consider the first example.
Suppose the third price decreases in the first second and become equal 12 rubles, then the first price decreases and becomes equal 9 rubles, and in the third second the third price decreases again and becomes equal 9 rubles. In this case all prices become equal 9 rubles in 3 seconds.
There could be other possibilities, but this minimizes the time needed for all prices to become equal. Thus the answer is 3.
In the second example we can notice that parity of first and second price is different and never changes within described process. Thus prices never can become equal.
In the third example following scenario can take place: firstly, the second price drops, then the third price, and then fourth price. It happens 999999999 times, and, since in one second only one price can drop, the whole process takes 999999999 * 3 = 2999999997 seconds. We can note that this is the minimum possible time. | 500 | [
{
"input": "3 3\n12 9 15",
"output": "3"
},
{
"input": "2 2\n10 9",
"output": "-1"
},
{
"input": "4 1\n1 1000000000 1000000000 1000000000",
"output": "2999999997"
},
{
"input": "1 11\n123",
"output": "0"
},
{
"input": "20 6\n38 86 86 50 98 62 32 2 14 62 98 50 2 50... | 1,593,018,892 | 2,147,483,647 | PyPy 3 | OK | TESTS | 88 | 234 | 34,099,200 | n , k = map(int,input().split())
l = list(map(int,input().split()))
st = set(l)
cnt = 0
if len(st) == 1 :
print(0)
exit()
else:
x = min(l)
for i in l :
c = i - x
if c % k == 0 :
cnt += c // k
else:
print(-1)
exit()
print(cnt)
| Title: Oleg and shares
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Oleg the bank client checks share prices every day. There are *n* share prices he is interested in. Today he observed that each second exactly one of these prices decreases by *k* rubles (note that each second exactly one price changes, but at different seconds different prices can change). Prices can become negative. Oleg found this process interesting, and he asked Igor the financial analyst, what is the minimum time needed for all *n* prices to become equal, or it is impossible at all? Igor is busy right now, so he asked you to help Oleg. Can you answer this question?
Input Specification:
The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=105,<=1<=≤<=*k*<=≤<=109) — the number of share prices, and the amount of rubles some price decreases each second.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the initial prices.
Output Specification:
Print the only line containing the minimum number of seconds needed for prices to become equal, of «-1» if it is impossible.
Demo Input:
['3 3\n12 9 15\n', '2 2\n10 9\n', '4 1\n1 1000000000 1000000000 1000000000\n']
Demo Output:
['3', '-1', '2999999997']
Note:
Consider the first example.
Suppose the third price decreases in the first second and become equal 12 rubles, then the first price decreases and becomes equal 9 rubles, and in the third second the third price decreases again and becomes equal 9 rubles. In this case all prices become equal 9 rubles in 3 seconds.
There could be other possibilities, but this minimizes the time needed for all prices to become equal. Thus the answer is 3.
In the second example we can notice that parity of first and second price is different and never changes within described process. Thus prices never can become equal.
In the third example following scenario can take place: firstly, the second price drops, then the third price, and then fourth price. It happens 999999999 times, and, since in one second only one price can drop, the whole process takes 999999999 * 3 = 2999999997 seconds. We can note that this is the minimum possible time. | ```python
n , k = map(int,input().split())
l = list(map(int,input().split()))
st = set(l)
cnt = 0
if len(st) == 1 :
print(0)
exit()
else:
x = min(l)
for i in l :
c = i - x
if c % k == 0 :
cnt += c // k
else:
print(-1)
exit()
print(cnt)
``` | 3 | |
155 | A | I_love_\%username\% | PROGRAMMING | 800 | [
"brute force"
] | null | null | Vasya adores sport programming. He can't write programs but he loves to watch the contests' progress. Vasya even has a favorite coder and Vasya pays special attention to him.
One day Vasya decided to collect the results of all contests where his favorite coder participated and track the progress of his coolness. For each contest where this coder participated, he wrote out a single non-negative number — the number of points his favorite coder earned in the contest. Vasya wrote out the points for the contest in the order, in which the contests run (naturally, no two contests ran simultaneously).
Vasya considers a coder's performance in a contest amazing in two situations: he can break either his best or his worst performance record. First, it is amazing if during the contest the coder earns strictly more points that he earned on each past contest. Second, it is amazing if during the contest the coder earns strictly less points that he earned on each past contest. A coder's first contest isn't considered amazing. Now he wants to count the number of amazing performances the coder had throughout his whole history of participating in contests. But the list of earned points turned out long and Vasya can't code... That's why he asks you to help him. | The first line contains the single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of contests where the coder participated.
The next line contains *n* space-separated non-negative integer numbers — they are the points which the coder has earned. The points are given in the chronological order. All points do not exceed 10000. | Print the single number — the number of amazing performances the coder has had during his whole history of participating in the contests. | [
"5\n100 50 200 150 200\n",
"10\n4664 6496 5814 7010 5762 5736 6944 4850 3698 7242\n"
] | [
"2\n",
"4\n"
] | In the first sample the performances number 2 and 3 are amazing.
In the second sample the performances number 2, 4, 9 and 10 are amazing. | 500 | [
{
"input": "5\n100 50 200 150 200",
"output": "2"
},
{
"input": "10\n4664 6496 5814 7010 5762 5736 6944 4850 3698 7242",
"output": "4"
},
{
"input": "1\n6",
"output": "0"
},
{
"input": "2\n2 1",
"output": "1"
},
{
"input": "5\n100 36 53 7 81",
"output": "2"
... | 1,692,593,754 | 2,147,483,647 | Python 3 | OK | TESTS | 37 | 92 | 0 | n = int(input())
points = list(map(int, input().split()))
amazing_performance = 0
highest_point = points[0]
lowest_point = points[0]
for i in range(1, n):
if points[i] > highest_point:
highest_point = points[i]
amazing_performance += 1
elif points[i] < lowest_point:
lowest_point = points[i]
amazing_performance += 1
print(amazing_performance) | Title: I_love_\%username\%
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya adores sport programming. He can't write programs but he loves to watch the contests' progress. Vasya even has a favorite coder and Vasya pays special attention to him.
One day Vasya decided to collect the results of all contests where his favorite coder participated and track the progress of his coolness. For each contest where this coder participated, he wrote out a single non-negative number — the number of points his favorite coder earned in the contest. Vasya wrote out the points for the contest in the order, in which the contests run (naturally, no two contests ran simultaneously).
Vasya considers a coder's performance in a contest amazing in two situations: he can break either his best or his worst performance record. First, it is amazing if during the contest the coder earns strictly more points that he earned on each past contest. Second, it is amazing if during the contest the coder earns strictly less points that he earned on each past contest. A coder's first contest isn't considered amazing. Now he wants to count the number of amazing performances the coder had throughout his whole history of participating in contests. But the list of earned points turned out long and Vasya can't code... That's why he asks you to help him.
Input Specification:
The first line contains the single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of contests where the coder participated.
The next line contains *n* space-separated non-negative integer numbers — they are the points which the coder has earned. The points are given in the chronological order. All points do not exceed 10000.
Output Specification:
Print the single number — the number of amazing performances the coder has had during his whole history of participating in the contests.
Demo Input:
['5\n100 50 200 150 200\n', '10\n4664 6496 5814 7010 5762 5736 6944 4850 3698 7242\n']
Demo Output:
['2\n', '4\n']
Note:
In the first sample the performances number 2 and 3 are amazing.
In the second sample the performances number 2, 4, 9 and 10 are amazing. | ```python
n = int(input())
points = list(map(int, input().split()))
amazing_performance = 0
highest_point = points[0]
lowest_point = points[0]
for i in range(1, n):
if points[i] > highest_point:
highest_point = points[i]
amazing_performance += 1
elif points[i] < lowest_point:
lowest_point = points[i]
amazing_performance += 1
print(amazing_performance)
``` | 3 | |
930 | A | Peculiar apple-tree | PROGRAMMING | 1,500 | [
"dfs and similar",
"graphs",
"trees"
] | null | null | In Arcady's garden there grows a peculiar apple-tree that fruits one time per year. Its peculiarity can be explained in following way: there are *n* inflorescences, numbered from 1 to *n*. Inflorescence number 1 is situated near base of tree and any other inflorescence with number *i* (*i*<=><=1) is situated at the top of branch, which bottom is *p**i*-th inflorescence and *p**i*<=<<=*i*.
Once tree starts fruiting, there appears exactly one apple in each inflorescence. The same moment as apples appear, they start to roll down along branches to the very base of tree. Each second all apples, except ones in first inflorescence simultaneously roll down one branch closer to tree base, e.g. apple in *a*-th inflorescence gets to *p**a*-th inflorescence. Apples that end up in first inflorescence are gathered by Arcady in exactly the same moment. Second peculiarity of this tree is that once two apples are in same inflorescence they annihilate. This happens with each pair of apples, e.g. if there are 5 apples in same inflorescence in same time, only one will not be annihilated and if there are 8 apples, all apples will be annihilated. Thus, there can be no more than one apple in each inflorescence in each moment of time.
Help Arcady with counting number of apples he will be able to collect from first inflorescence during one harvest. | First line of input contains single integer number *n* (2<=≤<=*n*<=≤<=100<=000) — number of inflorescences.
Second line of input contains sequence of *n*<=-<=1 integer numbers *p*2,<=*p*3,<=...,<=*p**n* (1<=≤<=*p**i*<=<<=*i*), where *p**i* is number of inflorescence into which the apple from *i*-th inflorescence rolls down. | Single line of output should contain one integer number: amount of apples that Arcady will be able to collect from first inflorescence during one harvest. | [
"3\n1 1\n",
"5\n1 2 2 2\n",
"18\n1 1 1 4 4 3 2 2 2 10 8 9 9 9 10 10 4\n"
] | [
"1\n",
"3\n",
"4\n"
] | In first example Arcady will be able to collect only one apple, initially situated in 1st inflorescence. In next second apples from 2nd and 3rd inflorescences will roll down and annihilate, and Arcady won't be able to collect them.
In the second example Arcady will be able to collect 3 apples. First one is one initially situated in first inflorescence. In a second apple from 2nd inflorescence will roll down to 1st (Arcady will collect it) and apples from 3rd, 4th, 5th inflorescences will roll down to 2nd. Two of them will annihilate and one not annihilated will roll down from 2-nd inflorescence to 1st one in the next second and Arcady will collect it. | 500 | [
{
"input": "3\n1 1",
"output": "1"
},
{
"input": "5\n1 2 2 2",
"output": "3"
},
{
"input": "18\n1 1 1 4 4 3 2 2 2 10 8 9 9 9 10 10 4",
"output": "4"
},
{
"input": "2\n1",
"output": "2"
},
{
"input": "3\n1 2",
"output": "3"
},
{
"input": "20\n1 1 1 1 1 ... | 1,644,592,407 | 2,147,483,647 | Python 3 | OK | TESTS | 90 | 156 | 14,950,400 | n=int(input())
a=[*map(int,input().split())]
q={}
for i in range(1,n+1):
q[i]=0
for i in range(n-1):
q[i+2]=q[a[i]]+1
z={}
for i in q.values():
z[i]=z.get(i,0)+1
print(sum(z[i]%2 for i in z)) | Title: Peculiar apple-tree
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In Arcady's garden there grows a peculiar apple-tree that fruits one time per year. Its peculiarity can be explained in following way: there are *n* inflorescences, numbered from 1 to *n*. Inflorescence number 1 is situated near base of tree and any other inflorescence with number *i* (*i*<=><=1) is situated at the top of branch, which bottom is *p**i*-th inflorescence and *p**i*<=<<=*i*.
Once tree starts fruiting, there appears exactly one apple in each inflorescence. The same moment as apples appear, they start to roll down along branches to the very base of tree. Each second all apples, except ones in first inflorescence simultaneously roll down one branch closer to tree base, e.g. apple in *a*-th inflorescence gets to *p**a*-th inflorescence. Apples that end up in first inflorescence are gathered by Arcady in exactly the same moment. Second peculiarity of this tree is that once two apples are in same inflorescence they annihilate. This happens with each pair of apples, e.g. if there are 5 apples in same inflorescence in same time, only one will not be annihilated and if there are 8 apples, all apples will be annihilated. Thus, there can be no more than one apple in each inflorescence in each moment of time.
Help Arcady with counting number of apples he will be able to collect from first inflorescence during one harvest.
Input Specification:
First line of input contains single integer number *n* (2<=≤<=*n*<=≤<=100<=000) — number of inflorescences.
Second line of input contains sequence of *n*<=-<=1 integer numbers *p*2,<=*p*3,<=...,<=*p**n* (1<=≤<=*p**i*<=<<=*i*), where *p**i* is number of inflorescence into which the apple from *i*-th inflorescence rolls down.
Output Specification:
Single line of output should contain one integer number: amount of apples that Arcady will be able to collect from first inflorescence during one harvest.
Demo Input:
['3\n1 1\n', '5\n1 2 2 2\n', '18\n1 1 1 4 4 3 2 2 2 10 8 9 9 9 10 10 4\n']
Demo Output:
['1\n', '3\n', '4\n']
Note:
In first example Arcady will be able to collect only one apple, initially situated in 1st inflorescence. In next second apples from 2nd and 3rd inflorescences will roll down and annihilate, and Arcady won't be able to collect them.
In the second example Arcady will be able to collect 3 apples. First one is one initially situated in first inflorescence. In a second apple from 2nd inflorescence will roll down to 1st (Arcady will collect it) and apples from 3rd, 4th, 5th inflorescences will roll down to 2nd. Two of them will annihilate and one not annihilated will roll down from 2-nd inflorescence to 1st one in the next second and Arcady will collect it. | ```python
n=int(input())
a=[*map(int,input().split())]
q={}
for i in range(1,n+1):
q[i]=0
for i in range(n-1):
q[i+2]=q[a[i]]+1
z={}
for i in q.values():
z[i]=z.get(i,0)+1
print(sum(z[i]%2 for i in z))
``` | 3 | |
471 | A | MUH and Sticks | PROGRAMMING | 1,100 | [
"implementation"
] | null | null | Two polar bears Menshykov and Uslada from the St.Petersburg zoo and elephant Horace from the Kiev zoo got six sticks to play with and assess the animals' creativity. Menshykov, Uslada and Horace decided to make either an elephant or a bear from those sticks. They can make an animal from sticks in the following way:
- Four sticks represent the animal's legs, these sticks should have the same length. - Two remaining sticks represent the animal's head and body. The bear's head stick must be shorter than the body stick. The elephant, however, has a long trunk, so his head stick must be as long as the body stick. Note that there are no limits on the relations between the leg sticks and the head and body sticks.
Your task is to find out which animal can be made from the given stick set. The zoo keeper wants the sticks back after the game, so they must never be broken, even bears understand it. | The single line contains six space-separated integers *l**i* (1<=≤<=*l**i*<=≤<=9) — the lengths of the six sticks. It is guaranteed that the input is such that you cannot make both animals from the sticks. | If you can make a bear from the given set, print string "Bear" (without the quotes). If you can make an elephant, print string "Elephant" (wıthout the quotes). If you can make neither a bear nor an elephant, print string "Alien" (without the quotes). | [
"4 2 5 4 4 4\n",
"4 4 5 4 4 5\n",
"1 2 3 4 5 6\n"
] | [
"Bear",
"Elephant",
"Alien"
] | If you're out of creative ideas, see instructions below which show how to make a bear and an elephant in the first two samples. The stick of length 2 is in red, the sticks of length 4 are in green, the sticks of length 5 are in blue. | 500 | [
{
"input": "4 2 5 4 4 4",
"output": "Bear"
},
{
"input": "4 4 5 4 4 5",
"output": "Elephant"
},
{
"input": "1 2 3 4 5 6",
"output": "Alien"
},
{
"input": "5 5 5 5 5 5",
"output": "Elephant"
},
{
"input": "1 1 1 2 3 5",
"output": "Alien"
},
{
"input": "... | 1,607,382,446 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 8 | 93 | 307,200 | X=input().split()
T={}
for x in X:
T[x] = T.get(x,0) + 1
if len(T) == 1:
print("Elephant")
exit(0)
# find legs:
legs=-1
for x in T:
if T[x] >= 4:
legs=x
break
if legs == -1:
print("Alien")
exit(0)
if T[legs] == 4 and len(T) == 3:
print("Bear")
exit(0)
if T[legs] == 5 and len(T) == 3:
print("Bear")
exit
print("Elephant")
| Title: MUH and Sticks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Two polar bears Menshykov and Uslada from the St.Petersburg zoo and elephant Horace from the Kiev zoo got six sticks to play with and assess the animals' creativity. Menshykov, Uslada and Horace decided to make either an elephant or a bear from those sticks. They can make an animal from sticks in the following way:
- Four sticks represent the animal's legs, these sticks should have the same length. - Two remaining sticks represent the animal's head and body. The bear's head stick must be shorter than the body stick. The elephant, however, has a long trunk, so his head stick must be as long as the body stick. Note that there are no limits on the relations between the leg sticks and the head and body sticks.
Your task is to find out which animal can be made from the given stick set. The zoo keeper wants the sticks back after the game, so they must never be broken, even bears understand it.
Input Specification:
The single line contains six space-separated integers *l**i* (1<=≤<=*l**i*<=≤<=9) — the lengths of the six sticks. It is guaranteed that the input is such that you cannot make both animals from the sticks.
Output Specification:
If you can make a bear from the given set, print string "Bear" (without the quotes). If you can make an elephant, print string "Elephant" (wıthout the quotes). If you can make neither a bear nor an elephant, print string "Alien" (without the quotes).
Demo Input:
['4 2 5 4 4 4\n', '4 4 5 4 4 5\n', '1 2 3 4 5 6\n']
Demo Output:
['Bear', 'Elephant', 'Alien']
Note:
If you're out of creative ideas, see instructions below which show how to make a bear and an elephant in the first two samples. The stick of length 2 is in red, the sticks of length 4 are in green, the sticks of length 5 are in blue. | ```python
X=input().split()
T={}
for x in X:
T[x] = T.get(x,0) + 1
if len(T) == 1:
print("Elephant")
exit(0)
# find legs:
legs=-1
for x in T:
if T[x] >= 4:
legs=x
break
if legs == -1:
print("Alien")
exit(0)
if T[legs] == 4 and len(T) == 3:
print("Bear")
exit(0)
if T[legs] == 5 and len(T) == 3:
print("Bear")
exit
print("Elephant")
``` | 0 | |
441 | B | Valera and Fruits | PROGRAMMING | 1,400 | [
"greedy",
"implementation"
] | null | null | Valera loves his garden, where *n* fruit trees grow.
This year he will enjoy a great harvest! On the *i*-th tree *b**i* fruit grow, they will ripen on a day number *a**i*. Unfortunately, the fruit on the tree get withered, so they can only be collected on day *a**i* and day *a**i*<=+<=1 (all fruits that are not collected in these two days, become unfit to eat).
Valera is not very fast, but there are some positive points. Valera is ready to work every day. In one day, Valera can collect no more than *v* fruits. The fruits may be either from the same tree, or from different ones. What is the maximum amount of fruit Valera can collect for all time, if he operates optimally well? | The first line contains two space-separated integers *n* and *v* (1<=≤<=*n*,<=*v*<=≤<=3000) — the number of fruit trees in the garden and the number of fruits that Valera can collect in a day.
Next *n* lines contain the description of trees in the garden. The *i*-th line contains two space-separated integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=3000) — the day the fruits ripen on the *i*-th tree and the number of fruits on the *i*-th tree. | Print a single integer — the maximum number of fruit that Valera can collect. | [
"2 3\n1 5\n2 3\n",
"5 10\n3 20\n2 20\n1 20\n4 20\n5 20\n"
] | [
"8\n",
"60\n"
] | In the first sample, in order to obtain the optimal answer, you should act as follows.
- On the first day collect 3 fruits from the 1-st tree. - On the second day collect 1 fruit from the 2-nd tree and 2 fruits from the 1-st tree. - On the third day collect the remaining fruits from the 2-nd tree.
In the second sample, you can only collect 60 fruits, the remaining fruit will simply wither. | 1,000 | [
{
"input": "2 3\n1 5\n2 3",
"output": "8"
},
{
"input": "5 10\n3 20\n2 20\n1 20\n4 20\n5 20",
"output": "60"
},
{
"input": "10 3000\n1 2522\n4 445\n8 1629\n5 772\n9 2497\n6 81\n3 426\n7 1447\n2 575\n10 202",
"output": "10596"
},
{
"input": "5 3000\n5 772\n1 2522\n2 575\n4 445... | 1,402,243,742 | 2,342 | Python 3 | TIME_LIMIT_EXCEEDED | PRETESTS | 3 | 1,000 | 512,000 | from sys import stdin
def solve(n, v, ab):
result = 0
trees = list(sorted(ab, key=lambda t: t[0]))
days = []
for abi in trees:
day = abi[0]
days.append(day)
days.append(day + 1)
days = list(set(sorted(days)))
debug(days)
for d in days:
debug('result before day ' + str(i) + ': ' + str(result))
debug('day ' + str(i))
day_limit = v
yesterday_trees = filter(lambda t: t[0] + 1 == d, trees)
today_trees = filter(lambda t: t[0] == d, trees)
for yt in yesterday_trees:
fruits_on_tree = yt[1]
if day_limit > 0:
if fruits_on_tree > 0:
cut_fruits = min(day_limit, fruits_on_tree)
yt[1] -= cut_fruits
day_limit -= cut_fruits
result += cut_fruits
for tt in today_trees:
fruits_on_tree = tt[1]
if day_limit > 0:
if fruits_on_tree > 0:
cut_fruits = min(day_limit, fruits_on_tree)
tt[1] -= cut_fruits
day_limit -= cut_fruits
result += cut_fruits
return result
def debug(arg):
pass
# print(arg)
if __name__ == '__main__':
s = stdin.readline().split(' ')
n = int(s[0])
v = int(s[1])
ab = []
for i in range(0, n):
str_ab = stdin.readline().split(' ')
abi = [int(abij) for abij in str_ab]
ab.append(abi)
solution = solve(n, v, ab)
print(solution)
| Title: Valera and Fruits
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Valera loves his garden, where *n* fruit trees grow.
This year he will enjoy a great harvest! On the *i*-th tree *b**i* fruit grow, they will ripen on a day number *a**i*. Unfortunately, the fruit on the tree get withered, so they can only be collected on day *a**i* and day *a**i*<=+<=1 (all fruits that are not collected in these two days, become unfit to eat).
Valera is not very fast, but there are some positive points. Valera is ready to work every day. In one day, Valera can collect no more than *v* fruits. The fruits may be either from the same tree, or from different ones. What is the maximum amount of fruit Valera can collect for all time, if he operates optimally well?
Input Specification:
The first line contains two space-separated integers *n* and *v* (1<=≤<=*n*,<=*v*<=≤<=3000) — the number of fruit trees in the garden and the number of fruits that Valera can collect in a day.
Next *n* lines contain the description of trees in the garden. The *i*-th line contains two space-separated integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=3000) — the day the fruits ripen on the *i*-th tree and the number of fruits on the *i*-th tree.
Output Specification:
Print a single integer — the maximum number of fruit that Valera can collect.
Demo Input:
['2 3\n1 5\n2 3\n', '5 10\n3 20\n2 20\n1 20\n4 20\n5 20\n']
Demo Output:
['8\n', '60\n']
Note:
In the first sample, in order to obtain the optimal answer, you should act as follows.
- On the first day collect 3 fruits from the 1-st tree. - On the second day collect 1 fruit from the 2-nd tree and 2 fruits from the 1-st tree. - On the third day collect the remaining fruits from the 2-nd tree.
In the second sample, you can only collect 60 fruits, the remaining fruit will simply wither. | ```python
from sys import stdin
def solve(n, v, ab):
result = 0
trees = list(sorted(ab, key=lambda t: t[0]))
days = []
for abi in trees:
day = abi[0]
days.append(day)
days.append(day + 1)
days = list(set(sorted(days)))
debug(days)
for d in days:
debug('result before day ' + str(i) + ': ' + str(result))
debug('day ' + str(i))
day_limit = v
yesterday_trees = filter(lambda t: t[0] + 1 == d, trees)
today_trees = filter(lambda t: t[0] == d, trees)
for yt in yesterday_trees:
fruits_on_tree = yt[1]
if day_limit > 0:
if fruits_on_tree > 0:
cut_fruits = min(day_limit, fruits_on_tree)
yt[1] -= cut_fruits
day_limit -= cut_fruits
result += cut_fruits
for tt in today_trees:
fruits_on_tree = tt[1]
if day_limit > 0:
if fruits_on_tree > 0:
cut_fruits = min(day_limit, fruits_on_tree)
tt[1] -= cut_fruits
day_limit -= cut_fruits
result += cut_fruits
return result
def debug(arg):
pass
# print(arg)
if __name__ == '__main__':
s = stdin.readline().split(' ')
n = int(s[0])
v = int(s[1])
ab = []
for i in range(0, n):
str_ab = stdin.readline().split(' ')
abi = [int(abij) for abij in str_ab]
ab.append(abi)
solution = solve(n, v, ab)
print(solution)
``` | 0 | |
558 | E | A Simple Task | PROGRAMMING | 2,300 | [
"data structures",
"sortings",
"strings"
] | null | null | This task is very simple. Given a string *S* of length *n* and *q* queries each query is on the format *i* *j* *k* which means sort the substring consisting of the characters from *i* to *j* in non-decreasing order if *k*<==<=1 or in non-increasing order if *k*<==<=0.
Output the final string after applying the queries. | The first line will contain two integers *n*,<=*q* (1<=≤<=*n*<=≤<=105, 0<=≤<=*q*<=≤<=50<=000), the length of the string and the number of queries respectively.
Next line contains a string *S* itself. It contains only lowercase English letters.
Next *q* lines will contain three integers each *i*,<=*j*,<=*k* (1<=≤<=*i*<=≤<=*j*<=≤<=*n*, ). | Output one line, the string *S* after applying the queries. | [
"10 5\nabacdabcda\n7 10 0\n5 8 1\n1 4 0\n3 6 0\n7 10 1\n",
"10 1\nagjucbvdfk\n1 10 1\n"
] | [
"cbcaaaabdd",
"abcdfgjkuv"
] | First sample test explanation:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/3ac4e8cc7e335675a4a2b7b4758bfb3865377cea.png" style="max-width: 100.0%;max-height: 100.0%;"/>
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/a90b5b03cf59288d8861f0142ecbdf6b12f69e5c.png" style="max-width: 100.0%;max-height: 100.0%;"/>
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1f482a91a275b6bce07eaed85312eac0cfcc6ccf.png" style="max-width: 100.0%;max-height: 100.0%;"/>
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/33b1a4a924f4bd562551ba4e40309f180dbe22e0.png" style="max-width: 100.0%;max-height: 100.0%;"/>
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/bddc77fd5b02858eb2ff29819cd16a93dbd241e6.png" style="max-width: 100.0%;max-height: 100.0%;"/> | 2,500 | [
{
"input": "10 5\nabacdabcda\n7 10 0\n5 8 1\n1 4 0\n3 6 0\n7 10 1",
"output": "cbcaaaabdd"
},
{
"input": "10 1\nagjucbvdfk\n1 10 1",
"output": "abcdfgjkuv"
},
{
"input": "10 6\nrmaahmdmuo\n1 3 1\n4 6 0\n5 6 1\n7 8 0\n8 10 0\n8 9 1",
"output": "amrmahmoud"
},
{
"input": "10 5\... | 1,589,908,976 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 5 | 5,000 | 1,126,400 | MAX_CHAR = 26;
def desc(str):
charCount = [0] * MAX_CHAR;
stri = ""
for i in range(len(str)):
charCount[ord(str[i]) - ord('a')] += 1;
for i in range(MAX_CHAR - 1, -1, -1):
stri = stri + (chr(97 + i)*charCount[i]);
return stri
def inc(str):
charCount = [0] * MAX_CHAR;
stri = ""
for i in range(len(str)):
charCount[ord(str[i]) - ord('a')] += 1;
for i in range(MAX_CHAR):
stri = stri + (chr(97 + i) * charCount[i]);
return stri
def main():
n1, q1 = input().split()
n = int(n1)
q = int(q1)
s = input()
while q:
i1, j1, k1 = input().split()
i = int(i1)
j = int(j1)
k = int(k1)
s1 = s[:i - 1]
s2 = s[i - 1:j]
s3 = s[j:]
if k == 0:
s2 = desc(s2)
if k == 1:
s2 = inc(s2)
s = s1 + s2 + s3
q -= 1
print(s)
main() | Title: A Simple Task
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
This task is very simple. Given a string *S* of length *n* and *q* queries each query is on the format *i* *j* *k* which means sort the substring consisting of the characters from *i* to *j* in non-decreasing order if *k*<==<=1 or in non-increasing order if *k*<==<=0.
Output the final string after applying the queries.
Input Specification:
The first line will contain two integers *n*,<=*q* (1<=≤<=*n*<=≤<=105, 0<=≤<=*q*<=≤<=50<=000), the length of the string and the number of queries respectively.
Next line contains a string *S* itself. It contains only lowercase English letters.
Next *q* lines will contain three integers each *i*,<=*j*,<=*k* (1<=≤<=*i*<=≤<=*j*<=≤<=*n*, ).
Output Specification:
Output one line, the string *S* after applying the queries.
Demo Input:
['10 5\nabacdabcda\n7 10 0\n5 8 1\n1 4 0\n3 6 0\n7 10 1\n', '10 1\nagjucbvdfk\n1 10 1\n']
Demo Output:
['cbcaaaabdd', 'abcdfgjkuv']
Note:
First sample test explanation:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/3ac4e8cc7e335675a4a2b7b4758bfb3865377cea.png" style="max-width: 100.0%;max-height: 100.0%;"/>
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/a90b5b03cf59288d8861f0142ecbdf6b12f69e5c.png" style="max-width: 100.0%;max-height: 100.0%;"/>
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1f482a91a275b6bce07eaed85312eac0cfcc6ccf.png" style="max-width: 100.0%;max-height: 100.0%;"/>
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/33b1a4a924f4bd562551ba4e40309f180dbe22e0.png" style="max-width: 100.0%;max-height: 100.0%;"/>
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/bddc77fd5b02858eb2ff29819cd16a93dbd241e6.png" style="max-width: 100.0%;max-height: 100.0%;"/> | ```python
MAX_CHAR = 26;
def desc(str):
charCount = [0] * MAX_CHAR;
stri = ""
for i in range(len(str)):
charCount[ord(str[i]) - ord('a')] += 1;
for i in range(MAX_CHAR - 1, -1, -1):
stri = stri + (chr(97 + i)*charCount[i]);
return stri
def inc(str):
charCount = [0] * MAX_CHAR;
stri = ""
for i in range(len(str)):
charCount[ord(str[i]) - ord('a')] += 1;
for i in range(MAX_CHAR):
stri = stri + (chr(97 + i) * charCount[i]);
return stri
def main():
n1, q1 = input().split()
n = int(n1)
q = int(q1)
s = input()
while q:
i1, j1, k1 = input().split()
i = int(i1)
j = int(j1)
k = int(k1)
s1 = s[:i - 1]
s2 = s[i - 1:j]
s3 = s[j:]
if k == 0:
s2 = desc(s2)
if k == 1:
s2 = inc(s2)
s = s1 + s2 + s3
q -= 1
print(s)
main()
``` | 0 | |
58 | A | Chat room | PROGRAMMING | 1,000 | [
"greedy",
"strings"
] | A. Chat room | 1 | 256 | Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*. | The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters. | If Vasya managed to say hello, print "YES", otherwise print "NO". | [
"ahhellllloou\n",
"hlelo\n"
] | [
"YES\n",
"NO\n"
] | none | 500 | [
{
"input": "ahhellllloou",
"output": "YES"
},
{
"input": "hlelo",
"output": "NO"
},
{
"input": "helhcludoo",
"output": "YES"
},
{
"input": "hehwelloho",
"output": "YES"
},
{
"input": "pnnepelqomhhheollvlo",
"output": "YES"
},
{
"input": "tymbzjyqhymeda... | 1,610,403,135 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 2 | 77 | 0 | if __name__ == '__main__':
n = input()
state = 0
for i in range(len(n)):
if state == 0 and n[i] == 'h':
state = 1
continue
if state == 1 and n[i] == 'e' and n[i - 1] == 'h':
state = 2
continue
elif state == 1 and n[i] != 'e' and n[i - 1] == 'h' and n[i] != 'h':
break
if state == 2 and n[i] == 'l' and n[i - 1] == 'e':
state = 3
continue
elif state == 2 and n[i] != 'l' and n[i - 1] == 'e' and n[i] != 'e':
break
if state == 3 and n[i] == 'l' and n[i - 1] == 'l':
state = 4
continue
elif state == 3 and n[i] != 'l' and n[i - 1] == 'l':
break
if state == 4 and n[i] == 'o' and n[i - 1] == 'l':
state = 5
break
elif state == 4 and n[i] != 'o' and n[i - 1] == 'l' and n[i] != 'l':
break
if state == 5:
print('YES')
else:
print('NO') | Title: Chat room
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*.
Input Specification:
The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters.
Output Specification:
If Vasya managed to say hello, print "YES", otherwise print "NO".
Demo Input:
['ahhellllloou\n', 'hlelo\n']
Demo Output:
['YES\n', 'NO\n']
Note:
none | ```python
if __name__ == '__main__':
n = input()
state = 0
for i in range(len(n)):
if state == 0 and n[i] == 'h':
state = 1
continue
if state == 1 and n[i] == 'e' and n[i - 1] == 'h':
state = 2
continue
elif state == 1 and n[i] != 'e' and n[i - 1] == 'h' and n[i] != 'h':
break
if state == 2 and n[i] == 'l' and n[i - 1] == 'e':
state = 3
continue
elif state == 2 and n[i] != 'l' and n[i - 1] == 'e' and n[i] != 'e':
break
if state == 3 and n[i] == 'l' and n[i - 1] == 'l':
state = 4
continue
elif state == 3 and n[i] != 'l' and n[i - 1] == 'l':
break
if state == 4 and n[i] == 'o' and n[i - 1] == 'l':
state = 5
break
elif state == 4 and n[i] != 'o' and n[i - 1] == 'l' and n[i] != 'l':
break
if state == 5:
print('YES')
else:
print('NO')
``` | 0 |
1 | A | Theatre Square | PROGRAMMING | 1,000 | [
"math"
] | A. Theatre Square | 1 | 256 | Theatre Square in the capital city of Berland has a rectangular shape with the size *n*<=×<=*m* meters. On the occasion of the city's anniversary, a decision was taken to pave the Square with square granite flagstones. Each flagstone is of the size *a*<=×<=*a*.
What is the least number of flagstones needed to pave the Square? It's allowed to cover the surface larger than the Theatre Square, but the Square has to be covered. It's not allowed to break the flagstones. The sides of flagstones should be parallel to the sides of the Square. | The input contains three positive integer numbers in the first line: *n*,<=<=*m* and *a* (1<=≤<=<=*n*,<=*m*,<=*a*<=≤<=109). | Write the needed number of flagstones. | [
"6 6 4\n"
] | [
"4\n"
] | none | 0 | [
{
"input": "6 6 4",
"output": "4"
},
{
"input": "1 1 1",
"output": "1"
},
{
"input": "2 1 1",
"output": "2"
},
{
"input": "1 2 1",
"output": "2"
},
{
"input": "2 2 1",
"output": "4"
},
{
"input": "2 1 2",
"output": "1"
},
{
"input": "1 1 3"... | 1,664,612,937 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 0 |
def flagstones(m,n,a):
flags=0
if (m%a)==0:
flags+=(m//a)
elif (m%a)!=0:
flags+=((m//a)+1)
if (n%a)==0:
flags*=(n//a)
elif (n%a)==0:
flags*=((n//a)+1)
return flags
theatre = input().split()
m = int(theatre[0])
n = int(theatre[1])
a = int(theatre[2])
print(flagstones(m,n,a))
| Title: Theatre Square
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Theatre Square in the capital city of Berland has a rectangular shape with the size *n*<=×<=*m* meters. On the occasion of the city's anniversary, a decision was taken to pave the Square with square granite flagstones. Each flagstone is of the size *a*<=×<=*a*.
What is the least number of flagstones needed to pave the Square? It's allowed to cover the surface larger than the Theatre Square, but the Square has to be covered. It's not allowed to break the flagstones. The sides of flagstones should be parallel to the sides of the Square.
Input Specification:
The input contains three positive integer numbers in the first line: *n*,<=<=*m* and *a* (1<=≤<=<=*n*,<=*m*,<=*a*<=≤<=109).
Output Specification:
Write the needed number of flagstones.
Demo Input:
['6 6 4\n']
Demo Output:
['4\n']
Note:
none | ```python
def flagstones(m,n,a):
flags=0
if (m%a)==0:
flags+=(m//a)
elif (m%a)!=0:
flags+=((m//a)+1)
if (n%a)==0:
flags*=(n//a)
elif (n%a)==0:
flags*=((n//a)+1)
return flags
theatre = input().split()
m = int(theatre[0])
n = int(theatre[1])
a = int(theatre[2])
print(flagstones(m,n,a))
``` | 0 |
0 | none | none | none | 0 | [
"none"
] | null | null | The famous global economic crisis is approaching rapidly, so the states of Berman, Berance and Bertaly formed an alliance and allowed the residents of all member states to freely pass through the territory of any of them. In addition, it was decided that a road between the states should be built to guarantee so that one could any point of any country can be reached from any point of any other State.
Since roads are always expensive, the governments of the states of the newly formed alliance asked you to help them assess the costs. To do this, you have been issued a map that can be represented as a rectangle table consisting of *n* rows and *m* columns. Any cell of the map either belongs to one of three states, or is an area where it is allowed to build a road, or is an area where the construction of the road is not allowed. A cell is called passable, if it belongs to one of the states, or the road was built in this cell. From any passable cells you can move up, down, right and left, if the cell that corresponds to the movement exists and is passable.
Your task is to construct a road inside a minimum number of cells, so that it would be possible to get from any cell of any state to any cell of any other state using only passable cells.
It is guaranteed that initially it is possible to reach any cell of any state from any cell of this state, moving only along its cells. It is also guaranteed that for any state there is at least one cell that belongs to it. | The first line of the input contains the dimensions of the map *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=1000) — the number of rows and columns respectively.
Each of the next *n* lines contain *m* characters, describing the rows of the map. Digits from 1 to 3 represent the accessory to the corresponding state. The character '.' corresponds to the cell where it is allowed to build a road and the character '#' means no construction is allowed in this cell. | Print a single integer — the minimum number of cells you need to build a road inside in order to connect all the cells of all states. If such a goal is unachievable, print -1. | [
"4 5\n11..2\n#..22\n#.323\n.#333",
"1 5\n1#2#3\n"
] | [
"2",
"-1\n"
] | none | 0 | [] | 1,445,883,605 | 5,105 | Python 3 | WRONG_ANSWER | TESTS | 4 | 2,355 | 21,913,600 | from collections import deque
infin = float('inf')
second = float('inf')
third = float('inf')
n, m = map(int, input().split())
visit = [[0 for i in range(m)] for j in range(n)]
maps = []
queue = deque()
for i in range(n):
maps.append(input())
for j in range(len(maps[i])):
if maps[i][j] in '1':
queue.append((i, j))
visit[i][j] = 1
def bfs(err):
global second, third
while queue:
x, y = queue.popleft()
if maps[x][y] == '2' and second > visit[x][y]:
second = visit[x][y]
if maps[x][y] == '3' and third > visit[x][y]:
third = visit[x][y]
if x + 1 < n and not visit[x + 1][y] and maps[x + 1][y] in '123.':
if maps[x + 1][y] == '.':
visit[x + 1][y] = visit[x][y] + 1
queue.append((x + 1, y))
else:
queue.appendleft((x + 1, y))
visit[x + 1][y] = visit[x][y]
if x and not visit[x - 1][y] and maps[x - 1][y] in '123.':
if maps[x - 1][y] == '.':
queue.append((x - 1, y))
visit[x - 1][y] = visit[x][y] + 1
else:
queue.appendleft((x - 1, y))
visit[x - 1][y] = visit[x][y]
if y + 1 < m and not visit[x][y + 1] and maps[x][y + 1] in '123.':
if maps[x][y + 1] == '.':
queue.append((x, y + 1))
visit[x][y + 1] = visit[x][y] + 1
else:
queue.appendleft((x, y + 1))
visit[x][y + 1] = visit[x][y]
if y and not visit[x][y - 1] and maps[x][y - 1] in '123.':
if maps[x][y - 1] == '.':
queue.append((x, y - 1))
visit[x][y - 1] = visit[x][y] + 1
else:
queue.appendleft((x, y - 1))
visit[x][y - 1] = visit[x][y]
bfs(0)
if second == infin or third == infin:
print('-1')
else:
print(max(second, third) - 1) | Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The famous global economic crisis is approaching rapidly, so the states of Berman, Berance and Bertaly formed an alliance and allowed the residents of all member states to freely pass through the territory of any of them. In addition, it was decided that a road between the states should be built to guarantee so that one could any point of any country can be reached from any point of any other State.
Since roads are always expensive, the governments of the states of the newly formed alliance asked you to help them assess the costs. To do this, you have been issued a map that can be represented as a rectangle table consisting of *n* rows and *m* columns. Any cell of the map either belongs to one of three states, or is an area where it is allowed to build a road, or is an area where the construction of the road is not allowed. A cell is called passable, if it belongs to one of the states, or the road was built in this cell. From any passable cells you can move up, down, right and left, if the cell that corresponds to the movement exists and is passable.
Your task is to construct a road inside a minimum number of cells, so that it would be possible to get from any cell of any state to any cell of any other state using only passable cells.
It is guaranteed that initially it is possible to reach any cell of any state from any cell of this state, moving only along its cells. It is also guaranteed that for any state there is at least one cell that belongs to it.
Input Specification:
The first line of the input contains the dimensions of the map *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=1000) — the number of rows and columns respectively.
Each of the next *n* lines contain *m* characters, describing the rows of the map. Digits from 1 to 3 represent the accessory to the corresponding state. The character '.' corresponds to the cell where it is allowed to build a road and the character '#' means no construction is allowed in this cell.
Output Specification:
Print a single integer — the minimum number of cells you need to build a road inside in order to connect all the cells of all states. If such a goal is unachievable, print -1.
Demo Input:
['4 5\n11..2\n#..22\n#.323\n.#333', '1 5\n1#2#3\n']
Demo Output:
['2', '-1\n']
Note:
none | ```python
from collections import deque
infin = float('inf')
second = float('inf')
third = float('inf')
n, m = map(int, input().split())
visit = [[0 for i in range(m)] for j in range(n)]
maps = []
queue = deque()
for i in range(n):
maps.append(input())
for j in range(len(maps[i])):
if maps[i][j] in '1':
queue.append((i, j))
visit[i][j] = 1
def bfs(err):
global second, third
while queue:
x, y = queue.popleft()
if maps[x][y] == '2' and second > visit[x][y]:
second = visit[x][y]
if maps[x][y] == '3' and third > visit[x][y]:
third = visit[x][y]
if x + 1 < n and not visit[x + 1][y] and maps[x + 1][y] in '123.':
if maps[x + 1][y] == '.':
visit[x + 1][y] = visit[x][y] + 1
queue.append((x + 1, y))
else:
queue.appendleft((x + 1, y))
visit[x + 1][y] = visit[x][y]
if x and not visit[x - 1][y] and maps[x - 1][y] in '123.':
if maps[x - 1][y] == '.':
queue.append((x - 1, y))
visit[x - 1][y] = visit[x][y] + 1
else:
queue.appendleft((x - 1, y))
visit[x - 1][y] = visit[x][y]
if y + 1 < m and not visit[x][y + 1] and maps[x][y + 1] in '123.':
if maps[x][y + 1] == '.':
queue.append((x, y + 1))
visit[x][y + 1] = visit[x][y] + 1
else:
queue.appendleft((x, y + 1))
visit[x][y + 1] = visit[x][y]
if y and not visit[x][y - 1] and maps[x][y - 1] in '123.':
if maps[x][y - 1] == '.':
queue.append((x, y - 1))
visit[x][y - 1] = visit[x][y] + 1
else:
queue.appendleft((x, y - 1))
visit[x][y - 1] = visit[x][y]
bfs(0)
if second == infin or third == infin:
print('-1')
else:
print(max(second, third) - 1)
``` | 0 | |
189 | A | Cut Ribbon | PROGRAMMING | 1,300 | [
"brute force",
"dp"
] | null | null | Polycarpus has a ribbon, its length is *n*. He wants to cut the ribbon in a way that fulfils the following two conditions:
- After the cutting each ribbon piece should have length *a*, *b* or *c*. - After the cutting the number of ribbon pieces should be maximum.
Help Polycarpus and find the number of ribbon pieces after the required cutting. | The first line contains four space-separated integers *n*, *a*, *b* and *c* (1<=≤<=*n*,<=*a*,<=*b*,<=*c*<=≤<=4000) — the length of the original ribbon and the acceptable lengths of the ribbon pieces after the cutting, correspondingly. The numbers *a*, *b* and *c* can coincide. | Print a single number — the maximum possible number of ribbon pieces. It is guaranteed that at least one correct ribbon cutting exists. | [
"5 5 3 2\n",
"7 5 5 2\n"
] | [
"2\n",
"2\n"
] | In the first example Polycarpus can cut the ribbon in such way: the first piece has length 2, the second piece has length 3.
In the second example Polycarpus can cut the ribbon in such way: the first piece has length 5, the second piece has length 2. | 500 | [
{
"input": "5 5 3 2",
"output": "2"
},
{
"input": "7 5 5 2",
"output": "2"
},
{
"input": "4 4 4 4",
"output": "1"
},
{
"input": "1 1 1 1",
"output": "1"
},
{
"input": "4000 1 2 3",
"output": "4000"
},
{
"input": "4000 3 4 5",
"output": "1333"
},
... | 1,679,482,708 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 8 | 46 | 0 | n, a, b, c = map(int, input().split())
lArr = [a, b, c]
lArr.sort()
possArr = []
for i in lArr:
if i > n:
continue
l = n
possCount = 1
if i == l:
possArr.append(1)
while l > i:
l -= i
possCount += 1
if l == a or l == b or l == c or l % a == 0 or l % b == 0 or l % c == 0:
possArr.append(possCount)
possArr.sort()
print(possArr[-1])
| Title: Cut Ribbon
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarpus has a ribbon, its length is *n*. He wants to cut the ribbon in a way that fulfils the following two conditions:
- After the cutting each ribbon piece should have length *a*, *b* or *c*. - After the cutting the number of ribbon pieces should be maximum.
Help Polycarpus and find the number of ribbon pieces after the required cutting.
Input Specification:
The first line contains four space-separated integers *n*, *a*, *b* and *c* (1<=≤<=*n*,<=*a*,<=*b*,<=*c*<=≤<=4000) — the length of the original ribbon and the acceptable lengths of the ribbon pieces after the cutting, correspondingly. The numbers *a*, *b* and *c* can coincide.
Output Specification:
Print a single number — the maximum possible number of ribbon pieces. It is guaranteed that at least one correct ribbon cutting exists.
Demo Input:
['5 5 3 2\n', '7 5 5 2\n']
Demo Output:
['2\n', '2\n']
Note:
In the first example Polycarpus can cut the ribbon in such way: the first piece has length 2, the second piece has length 3.
In the second example Polycarpus can cut the ribbon in such way: the first piece has length 5, the second piece has length 2. | ```python
n, a, b, c = map(int, input().split())
lArr = [a, b, c]
lArr.sort()
possArr = []
for i in lArr:
if i > n:
continue
l = n
possCount = 1
if i == l:
possArr.append(1)
while l > i:
l -= i
possCount += 1
if l == a or l == b or l == c or l % a == 0 or l % b == 0 or l % c == 0:
possArr.append(possCount)
possArr.sort()
print(possArr[-1])
``` | 0 | |
515 | C | Drazil and Factorial | PROGRAMMING | 1,400 | [
"greedy",
"math",
"sortings"
] | null | null | Drazil is playing a math game with Varda.
Let's define for positive integer *x* as a product of factorials of its digits. For example, .
First, they choose a decimal number *a* consisting of *n* digits that contains at least one digit larger than 1. This number may possibly start with leading zeroes. Then they should find maximum positive number *x* satisfying following two conditions:
1. *x* doesn't contain neither digit 0 nor digit 1.
2. = .
Help friends find such number. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=15) — the number of digits in *a*.
The second line contains *n* digits of *a*. There is at least one digit in *a* that is larger than 1. Number *a* may possibly contain leading zeroes. | Output a maximum possible integer satisfying the conditions above. There should be no zeroes and ones in this number decimal representation. | [
"4\n1234\n",
"3\n555\n"
] | [
"33222\n",
"555\n"
] | In the first case, <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/f5a4207f23215fddce977ab5ea9e9d2e7578fb52.png" style="max-width: 100.0%;max-height: 100.0%;"/> | 1,000 | [
{
"input": "4\n1234",
"output": "33222"
},
{
"input": "3\n555",
"output": "555"
},
{
"input": "15\n012345781234578",
"output": "7777553333222222222222"
},
{
"input": "1\n8",
"output": "7222"
},
{
"input": "10\n1413472614",
"output": "75333332222222"
},
{
... | 1,625,917,931 | 2,147,483,647 | PyPy 3 | OK | TESTS | 45 | 109 | 0 | l=[""," ","2","3","322","5","53","7","7222","7332"]
s=""
n=int(input())
k=input()
for i in range(n):
s=s+l[int(k[i])]
s=list(s)
s.sort(reverse=True)
print(*s,sep="") | Title: Drazil and Factorial
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Drazil is playing a math game with Varda.
Let's define for positive integer *x* as a product of factorials of its digits. For example, .
First, they choose a decimal number *a* consisting of *n* digits that contains at least one digit larger than 1. This number may possibly start with leading zeroes. Then they should find maximum positive number *x* satisfying following two conditions:
1. *x* doesn't contain neither digit 0 nor digit 1.
2. = .
Help friends find such number.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=15) — the number of digits in *a*.
The second line contains *n* digits of *a*. There is at least one digit in *a* that is larger than 1. Number *a* may possibly contain leading zeroes.
Output Specification:
Output a maximum possible integer satisfying the conditions above. There should be no zeroes and ones in this number decimal representation.
Demo Input:
['4\n1234\n', '3\n555\n']
Demo Output:
['33222\n', '555\n']
Note:
In the first case, <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/f5a4207f23215fddce977ab5ea9e9d2e7578fb52.png" style="max-width: 100.0%;max-height: 100.0%;"/> | ```python
l=[""," ","2","3","322","5","53","7","7222","7332"]
s=""
n=int(input())
k=input()
for i in range(n):
s=s+l[int(k[i])]
s=list(s)
s.sort(reverse=True)
print(*s,sep="")
``` | 3 | |
761 | D | Dasha and Very Difficult Problem | PROGRAMMING | 1,700 | [
"binary search",
"brute force",
"constructive algorithms",
"greedy",
"sortings"
] | null | null | Dasha logged into the system and began to solve problems. One of them is as follows:
Given two sequences *a* and *b* of length *n* each you need to write a sequence *c* of length *n*, the *i*-th element of which is calculated as follows: *c**i*<==<=*b**i*<=-<=*a**i*.
About sequences *a* and *b* we know that their elements are in the range from *l* to *r*. More formally, elements satisfy the following conditions: *l*<=≤<=*a**i*<=≤<=*r* and *l*<=≤<=*b**i*<=≤<=*r*. About sequence *c* we know that all its elements are distinct.
Dasha wrote a solution to that problem quickly, but checking her work on the standard test was not so easy. Due to an error in the test system only the sequence *a* and the compressed sequence of the sequence *c* were known from that test.
Let's give the definition to a compressed sequence. A compressed sequence of sequence *c* of length *n* is a sequence *p* of length *n*, so that *p**i* equals to the number of integers which are less than or equal to *c**i* in the sequence *c*. For example, for the sequence *c*<==<=[250,<=200,<=300,<=100,<=50] the compressed sequence will be *p*<==<=[4,<=3,<=5,<=2,<=1]. Pay attention that in *c* all integers are distinct. Consequently, the compressed sequence contains all integers from 1 to *n* inclusively.
Help Dasha to find any sequence *b* for which the calculated compressed sequence of sequence *c* is correct. | The first line contains three integers *n*, *l*, *r* (1<=≤<=*n*<=≤<=105,<=1<=≤<=*l*<=≤<=*r*<=≤<=109) — the length of the sequence and boundaries of the segment where the elements of sequences *a* and *b* are.
The next line contains *n* integers *a*1,<=<=*a*2,<=<=...,<=<=*a**n* (*l*<=≤<=*a**i*<=≤<=*r*) — the elements of the sequence *a*.
The next line contains *n* distinct integers *p*1,<=<=*p*2,<=<=...,<=<=*p**n* (1<=≤<=*p**i*<=≤<=*n*) — the compressed sequence of the sequence *c*. | If there is no the suitable sequence *b*, then in the only line print "-1".
Otherwise, in the only line print *n* integers — the elements of any suitable sequence *b*. | [
"5 1 5\n1 1 1 1 1\n3 1 5 4 2\n",
"4 2 9\n3 4 8 9\n3 2 1 4\n",
"6 1 5\n1 1 1 1 1 1\n2 3 5 4 1 6\n"
] | [
"3 1 5 4 2 ",
"2 2 2 9 ",
"-1\n"
] | Sequence *b* which was found in the second sample is suitable, because calculated sequence *c* = [2 - 3, 2 - 4, 2 - 8, 9 - 9] = [ - 1, - 2, - 6, 0] (note that *c*<sub class="lower-index">*i*</sub> = *b*<sub class="lower-index">*i*</sub> - *a*<sub class="lower-index">*i*</sub>) has compressed sequence equals to *p* = [3, 2, 1, 4]. | 2,000 | [
{
"input": "5 1 5\n1 1 1 1 1\n3 1 5 4 2",
"output": "3 1 5 4 2 "
},
{
"input": "4 2 9\n3 4 8 9\n3 2 1 4",
"output": "2 2 2 9 "
},
{
"input": "6 1 5\n1 1 1 1 1 1\n2 3 5 4 1 6",
"output": "-1"
},
{
"input": "5 1 7\n1 4 4 6 5\n5 2 1 4 3",
"output": "2 2 1 6 4 "
},
{
... | 1,604,150,401 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 93 | 204,800 | n, l, f = map(int, input().split())
a = [int(x) for x in input().split()]
c = [int(x) for x in input().split()]
b = []
for i in range(n):
b.append(a[i]+c[i])
m = max(b)
if m > f:
diff = m-f
for i in range(n):
b[i] -= diff
else:
diff = f-m
for i in range(n):
b[i] += diff
if min(b) < l or max(b) > l:
print(-1)
exit(0)
for i in range(n):
if i == n-1:
print(b[i])
else:
print(b[i], end=' ')
| Title: Dasha and Very Difficult Problem
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Dasha logged into the system and began to solve problems. One of them is as follows:
Given two sequences *a* and *b* of length *n* each you need to write a sequence *c* of length *n*, the *i*-th element of which is calculated as follows: *c**i*<==<=*b**i*<=-<=*a**i*.
About sequences *a* and *b* we know that their elements are in the range from *l* to *r*. More formally, elements satisfy the following conditions: *l*<=≤<=*a**i*<=≤<=*r* and *l*<=≤<=*b**i*<=≤<=*r*. About sequence *c* we know that all its elements are distinct.
Dasha wrote a solution to that problem quickly, but checking her work on the standard test was not so easy. Due to an error in the test system only the sequence *a* and the compressed sequence of the sequence *c* were known from that test.
Let's give the definition to a compressed sequence. A compressed sequence of sequence *c* of length *n* is a sequence *p* of length *n*, so that *p**i* equals to the number of integers which are less than or equal to *c**i* in the sequence *c*. For example, for the sequence *c*<==<=[250,<=200,<=300,<=100,<=50] the compressed sequence will be *p*<==<=[4,<=3,<=5,<=2,<=1]. Pay attention that in *c* all integers are distinct. Consequently, the compressed sequence contains all integers from 1 to *n* inclusively.
Help Dasha to find any sequence *b* for which the calculated compressed sequence of sequence *c* is correct.
Input Specification:
The first line contains three integers *n*, *l*, *r* (1<=≤<=*n*<=≤<=105,<=1<=≤<=*l*<=≤<=*r*<=≤<=109) — the length of the sequence and boundaries of the segment where the elements of sequences *a* and *b* are.
The next line contains *n* integers *a*1,<=<=*a*2,<=<=...,<=<=*a**n* (*l*<=≤<=*a**i*<=≤<=*r*) — the elements of the sequence *a*.
The next line contains *n* distinct integers *p*1,<=<=*p*2,<=<=...,<=<=*p**n* (1<=≤<=*p**i*<=≤<=*n*) — the compressed sequence of the sequence *c*.
Output Specification:
If there is no the suitable sequence *b*, then in the only line print "-1".
Otherwise, in the only line print *n* integers — the elements of any suitable sequence *b*.
Demo Input:
['5 1 5\n1 1 1 1 1\n3 1 5 4 2\n', '4 2 9\n3 4 8 9\n3 2 1 4\n', '6 1 5\n1 1 1 1 1 1\n2 3 5 4 1 6\n']
Demo Output:
['3 1 5 4 2 ', '2 2 2 9 ', '-1\n']
Note:
Sequence *b* which was found in the second sample is suitable, because calculated sequence *c* = [2 - 3, 2 - 4, 2 - 8, 9 - 9] = [ - 1, - 2, - 6, 0] (note that *c*<sub class="lower-index">*i*</sub> = *b*<sub class="lower-index">*i*</sub> - *a*<sub class="lower-index">*i*</sub>) has compressed sequence equals to *p* = [3, 2, 1, 4]. | ```python
n, l, f = map(int, input().split())
a = [int(x) for x in input().split()]
c = [int(x) for x in input().split()]
b = []
for i in range(n):
b.append(a[i]+c[i])
m = max(b)
if m > f:
diff = m-f
for i in range(n):
b[i] -= diff
else:
diff = f-m
for i in range(n):
b[i] += diff
if min(b) < l or max(b) > l:
print(-1)
exit(0)
for i in range(n):
if i == n-1:
print(b[i])
else:
print(b[i], end=' ')
``` | 0 | |
877 | A | Alex and broken contest | PROGRAMMING | 1,100 | [
"implementation",
"strings"
] | null | null | One day Alex was creating a contest about his friends, but accidentally deleted it. Fortunately, all the problems were saved, but now he needs to find them among other problems.
But there are too many problems, to do it manually. Alex asks you to write a program, which will determine if a problem is from this contest by its name.
It is known, that problem is from this contest if and only if its name contains one of Alex's friends' name exactly once. His friends' names are "Danil", "Olya", "Slava", "Ann" and "Nikita".
Names are case sensitive. | The only line contains string from lowercase and uppercase letters and "_" symbols of length, not more than 100 — the name of the problem. | Print "YES", if problem is from this contest, and "NO" otherwise. | [
"Alex_and_broken_contest\n",
"NikitaAndString\n",
"Danil_and_Olya\n"
] | [
"NO",
"YES",
"NO"
] | none | 500 | [
{
"input": "Alex_and_broken_contest",
"output": "NO"
},
{
"input": "NikitaAndString",
"output": "YES"
},
{
"input": "Danil_and_Olya",
"output": "NO"
},
{
"input": "Slava____and_the_game",
"output": "YES"
},
{
"input": "Olya_and_energy_drinks",
"output": "YES"
... | 1,564,142,476 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 20 | 124 | 0 | s=input()
c=0
if "Danil" in s:
c+=1
if "Olya" in s:
c+=1
if "Slava" in s:
c+=1
if "Ann" in s:
c+=1
if "Nikita" in s :
c+=1
if c==1:
print('YES')
else:
print('NO')
| Title: Alex and broken contest
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day Alex was creating a contest about his friends, but accidentally deleted it. Fortunately, all the problems were saved, but now he needs to find them among other problems.
But there are too many problems, to do it manually. Alex asks you to write a program, which will determine if a problem is from this contest by its name.
It is known, that problem is from this contest if and only if its name contains one of Alex's friends' name exactly once. His friends' names are "Danil", "Olya", "Slava", "Ann" and "Nikita".
Names are case sensitive.
Input Specification:
The only line contains string from lowercase and uppercase letters and "_" symbols of length, not more than 100 — the name of the problem.
Output Specification:
Print "YES", if problem is from this contest, and "NO" otherwise.
Demo Input:
['Alex_and_broken_contest\n', 'NikitaAndString\n', 'Danil_and_Olya\n']
Demo Output:
['NO', 'YES', 'NO']
Note:
none | ```python
s=input()
c=0
if "Danil" in s:
c+=1
if "Olya" in s:
c+=1
if "Slava" in s:
c+=1
if "Ann" in s:
c+=1
if "Nikita" in s :
c+=1
if c==1:
print('YES')
else:
print('NO')
``` | 0 | |
667 | A | Pouring Rain | PROGRAMMING | 1,100 | [
"geometry",
"math"
] | null | null | A lot of people in Berland hates rain, but you do not. Rain pacifies, puts your thoughts in order. By these years you have developed a good tradition — when it rains, you go on the street and stay silent for a moment, contemplate all around you, enjoy freshness, think about big deeds you have to do.
Today everything had changed quietly. You went on the street with a cup contained water, your favorite drink. In a moment when you were drinking a water you noticed that the process became quite long: the cup still contained water because of rain. You decided to make a formal model of what was happening and to find if it was possible to drink all water in that situation.
Thus, your cup is a cylinder with diameter equals *d* centimeters. Initial level of water in cup equals *h* centimeters from the bottom.
You drink a water with a speed equals *v* milliliters per second. But rain goes with such speed that if you do not drink a water from the cup, the level of water increases on *e* centimeters per second. The process of drinking water from the cup and the addition of rain to the cup goes evenly and continuously.
Find the time needed to make the cup empty or find that it will never happen. It is guaranteed that if it is possible to drink all water, it will happen not later than after 104 seconds.
Note one milliliter equals to one cubic centimeter. | The only line of the input contains four integer numbers *d*,<=*h*,<=*v*,<=*e* (1<=≤<=*d*,<=*h*,<=*v*,<=*e*<=≤<=104), where:
- *d* — the diameter of your cylindrical cup, - *h* — the initial level of water in the cup, - *v* — the speed of drinking process from the cup in milliliters per second, - *e* — the growth of water because of rain if you do not drink from the cup. | If it is impossible to make the cup empty, print "NO" (without quotes).
Otherwise print "YES" (without quotes) in the first line. In the second line print a real number — time in seconds needed the cup will be empty. The answer will be considered correct if its relative or absolute error doesn't exceed 10<=-<=4. It is guaranteed that if the answer exists, it doesn't exceed 104. | [
"1 2 3 100\n",
"1 1 1 1\n"
] | [
"NO\n",
"YES\n3.659792366325\n"
] | In the first example the water fills the cup faster than you can drink from it.
In the second example area of the cup's bottom equals to <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/419dc74dcd7bc392019c9fe748fe1fdb08ab521a.png" style="max-width: 100.0%;max-height: 100.0%;"/>, thus we can conclude that you decrease the level of water by <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/e8edb237e1f805fe83c2f47e48d3a9d03f2ee304.png" style="max-width: 100.0%;max-height: 100.0%;"/> centimeters per second. At the same time water level increases by 1 centimeter per second due to rain. Thus, cup will be empty in <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/9dae615d7e2c5c7c03cb478848fb06aba1a8942e.png" style="max-width: 100.0%;max-height: 100.0%;"/> seconds. | 500 | [
{
"input": "1 2 3 100",
"output": "NO"
},
{
"input": "1 1 1 1",
"output": "YES\n3.659792366325"
},
{
"input": "48 7946 7992 72",
"output": "NO"
},
{
"input": "72 6791 8546 46",
"output": "NO"
},
{
"input": "100 5635 9099 23",
"output": "NO"
},
{
"input... | 1,461,953,619 | 5,919 | Python 3 | OK | TESTS | 23 | 62 | 4,608,000 | import math
(d,h,v,e) = tuple([int(p) for p in input().strip('\n').split(' ')])
increaseByRain = math.pi * (d/2) * (d/2) * e
totalRate = v - increaseByRain
if totalRate <= 0:
print('NO')
else:
print('YES')
currentVol = math.pi * (d/2) * (d/2) * h
print(str(currentVol/totalRate)) | Title: Pouring Rain
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A lot of people in Berland hates rain, but you do not. Rain pacifies, puts your thoughts in order. By these years you have developed a good tradition — when it rains, you go on the street and stay silent for a moment, contemplate all around you, enjoy freshness, think about big deeds you have to do.
Today everything had changed quietly. You went on the street with a cup contained water, your favorite drink. In a moment when you were drinking a water you noticed that the process became quite long: the cup still contained water because of rain. You decided to make a formal model of what was happening and to find if it was possible to drink all water in that situation.
Thus, your cup is a cylinder with diameter equals *d* centimeters. Initial level of water in cup equals *h* centimeters from the bottom.
You drink a water with a speed equals *v* milliliters per second. But rain goes with such speed that if you do not drink a water from the cup, the level of water increases on *e* centimeters per second. The process of drinking water from the cup and the addition of rain to the cup goes evenly and continuously.
Find the time needed to make the cup empty or find that it will never happen. It is guaranteed that if it is possible to drink all water, it will happen not later than after 104 seconds.
Note one milliliter equals to one cubic centimeter.
Input Specification:
The only line of the input contains four integer numbers *d*,<=*h*,<=*v*,<=*e* (1<=≤<=*d*,<=*h*,<=*v*,<=*e*<=≤<=104), where:
- *d* — the diameter of your cylindrical cup, - *h* — the initial level of water in the cup, - *v* — the speed of drinking process from the cup in milliliters per second, - *e* — the growth of water because of rain if you do not drink from the cup.
Output Specification:
If it is impossible to make the cup empty, print "NO" (without quotes).
Otherwise print "YES" (without quotes) in the first line. In the second line print a real number — time in seconds needed the cup will be empty. The answer will be considered correct if its relative or absolute error doesn't exceed 10<=-<=4. It is guaranteed that if the answer exists, it doesn't exceed 104.
Demo Input:
['1 2 3 100\n', '1 1 1 1\n']
Demo Output:
['NO\n', 'YES\n3.659792366325\n']
Note:
In the first example the water fills the cup faster than you can drink from it.
In the second example area of the cup's bottom equals to <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/419dc74dcd7bc392019c9fe748fe1fdb08ab521a.png" style="max-width: 100.0%;max-height: 100.0%;"/>, thus we can conclude that you decrease the level of water by <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/e8edb237e1f805fe83c2f47e48d3a9d03f2ee304.png" style="max-width: 100.0%;max-height: 100.0%;"/> centimeters per second. At the same time water level increases by 1 centimeter per second due to rain. Thus, cup will be empty in <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/9dae615d7e2c5c7c03cb478848fb06aba1a8942e.png" style="max-width: 100.0%;max-height: 100.0%;"/> seconds. | ```python
import math
(d,h,v,e) = tuple([int(p) for p in input().strip('\n').split(' ')])
increaseByRain = math.pi * (d/2) * (d/2) * e
totalRate = v - increaseByRain
if totalRate <= 0:
print('NO')
else:
print('YES')
currentVol = math.pi * (d/2) * (d/2) * h
print(str(currentVol/totalRate))
``` | 3 | |
946 | A | Partition | PROGRAMMING | 800 | [
"greedy"
] | null | null | You are given a sequence *a* consisting of *n* integers. You may partition this sequence into two sequences *b* and *c* in such a way that every element belongs exactly to one of these sequences.
Let *B* be the sum of elements belonging to *b*, and *C* be the sum of elements belonging to *c* (if some of these sequences is empty, then its sum is 0). What is the maximum possible value of *B*<=-<=*C*? | The first line contains one integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in *a*.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (<=-<=100<=≤<=*a**i*<=≤<=100) — the elements of sequence *a*. | Print the maximum possible value of *B*<=-<=*C*, where *B* is the sum of elements of sequence *b*, and *C* is the sum of elements of sequence *c*. | [
"3\n1 -2 0\n",
"6\n16 23 16 15 42 8\n"
] | [
"3\n",
"120\n"
] | In the first example we may choose *b* = {1, 0}, *c* = { - 2}. Then *B* = 1, *C* = - 2, *B* - *C* = 3.
In the second example we choose *b* = {16, 23, 16, 15, 42, 8}, *c* = {} (an empty sequence). Then *B* = 120, *C* = 0, *B* - *C* = 120. | 0 | [
{
"input": "3\n1 -2 0",
"output": "3"
},
{
"input": "6\n16 23 16 15 42 8",
"output": "120"
},
{
"input": "1\n-1",
"output": "1"
},
{
"input": "100\n-100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -10... | 1,573,835,228 | 2,147,483,647 | Python 3 | OK | TESTS | 72 | 109 | 0 | n=int(input())
a=list(map(int,input().split()))
sum=0
for i in a:
sum+=abs(i)
print(sum)
| Title: Partition
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a sequence *a* consisting of *n* integers. You may partition this sequence into two sequences *b* and *c* in such a way that every element belongs exactly to one of these sequences.
Let *B* be the sum of elements belonging to *b*, and *C* be the sum of elements belonging to *c* (if some of these sequences is empty, then its sum is 0). What is the maximum possible value of *B*<=-<=*C*?
Input Specification:
The first line contains one integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in *a*.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (<=-<=100<=≤<=*a**i*<=≤<=100) — the elements of sequence *a*.
Output Specification:
Print the maximum possible value of *B*<=-<=*C*, where *B* is the sum of elements of sequence *b*, and *C* is the sum of elements of sequence *c*.
Demo Input:
['3\n1 -2 0\n', '6\n16 23 16 15 42 8\n']
Demo Output:
['3\n', '120\n']
Note:
In the first example we may choose *b* = {1, 0}, *c* = { - 2}. Then *B* = 1, *C* = - 2, *B* - *C* = 3.
In the second example we choose *b* = {16, 23, 16, 15, 42, 8}, *c* = {} (an empty sequence). Then *B* = 120, *C* = 0, *B* - *C* = 120. | ```python
n=int(input())
a=list(map(int,input().split()))
sum=0
for i in a:
sum+=abs(i)
print(sum)
``` | 3 | |
484 | A | Bits | PROGRAMMING | 1,700 | [
"bitmasks",
"constructive algorithms"
] | null | null | Let's denote as the number of bits set ('1' bits) in the binary representation of the non-negative integer *x*.
You are given multiple queries consisting of pairs of integers *l* and *r*. For each query, find the *x*, such that *l*<=≤<=*x*<=≤<=*r*, and is maximum possible. If there are multiple such numbers find the smallest of them. | The first line contains integer *n* — the number of queries (1<=≤<=*n*<=≤<=10000).
Each of the following *n* lines contain two integers *l**i*,<=*r**i* — the arguments for the corresponding query (0<=≤<=*l**i*<=≤<=*r**i*<=≤<=1018). | For each query print the answer in a separate line. | [
"3\n1 2\n2 4\n1 10\n"
] | [
"1\n3\n7\n"
] | The binary representations of numbers from 1 to 10 are listed below:
1<sub class="lower-index">10</sub> = 1<sub class="lower-index">2</sub>
2<sub class="lower-index">10</sub> = 10<sub class="lower-index">2</sub>
3<sub class="lower-index">10</sub> = 11<sub class="lower-index">2</sub>
4<sub class="lower-index">10</sub> = 100<sub class="lower-index">2</sub>
5<sub class="lower-index">10</sub> = 101<sub class="lower-index">2</sub>
6<sub class="lower-index">10</sub> = 110<sub class="lower-index">2</sub>
7<sub class="lower-index">10</sub> = 111<sub class="lower-index">2</sub>
8<sub class="lower-index">10</sub> = 1000<sub class="lower-index">2</sub>
9<sub class="lower-index">10</sub> = 1001<sub class="lower-index">2</sub>
10<sub class="lower-index">10</sub> = 1010<sub class="lower-index">2</sub> | 500 | [
{
"input": "3\n1 2\n2 4\n1 10",
"output": "1\n3\n7"
},
{
"input": "55\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n2 2\n2 3\n2 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n3 3\n3 4\n3 5\n3 6\n3 7\n3 8\n3 9\n3 10\n4 4\n4 5\n4 6\n4 7\n4 8\n4 9\n4 10\n5 5\n5 6\n5 7\n5 8\n5 9\n5 10\n6 6\n6 7\n6 8\n6 9\n6 10... | 1,518,608,482 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 1 | 46 | 5,632,000 | tCases = int(input())
inp = []
for x in range(tCases):
l ,r = map(int,input().split())
val = l
for y in range (l,r):
if(bin(y).count("1")> bin(val).count("1")):
val = y
print(val) | Title: Bits
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Let's denote as the number of bits set ('1' bits) in the binary representation of the non-negative integer *x*.
You are given multiple queries consisting of pairs of integers *l* and *r*. For each query, find the *x*, such that *l*<=≤<=*x*<=≤<=*r*, and is maximum possible. If there are multiple such numbers find the smallest of them.
Input Specification:
The first line contains integer *n* — the number of queries (1<=≤<=*n*<=≤<=10000).
Each of the following *n* lines contain two integers *l**i*,<=*r**i* — the arguments for the corresponding query (0<=≤<=*l**i*<=≤<=*r**i*<=≤<=1018).
Output Specification:
For each query print the answer in a separate line.
Demo Input:
['3\n1 2\n2 4\n1 10\n']
Demo Output:
['1\n3\n7\n']
Note:
The binary representations of numbers from 1 to 10 are listed below:
1<sub class="lower-index">10</sub> = 1<sub class="lower-index">2</sub>
2<sub class="lower-index">10</sub> = 10<sub class="lower-index">2</sub>
3<sub class="lower-index">10</sub> = 11<sub class="lower-index">2</sub>
4<sub class="lower-index">10</sub> = 100<sub class="lower-index">2</sub>
5<sub class="lower-index">10</sub> = 101<sub class="lower-index">2</sub>
6<sub class="lower-index">10</sub> = 110<sub class="lower-index">2</sub>
7<sub class="lower-index">10</sub> = 111<sub class="lower-index">2</sub>
8<sub class="lower-index">10</sub> = 1000<sub class="lower-index">2</sub>
9<sub class="lower-index">10</sub> = 1001<sub class="lower-index">2</sub>
10<sub class="lower-index">10</sub> = 1010<sub class="lower-index">2</sub> | ```python
tCases = int(input())
inp = []
for x in range(tCases):
l ,r = map(int,input().split())
val = l
for y in range (l,r):
if(bin(y).count("1")> bin(val).count("1")):
val = y
print(val)
``` | 0 | |
954 | A | Diagonal Walking | PROGRAMMING | 800 | [
"implementation"
] | null | null | Mikhail walks on a 2D plane. He can go either up or right. You are given a sequence of Mikhail's moves. He thinks that this sequence is too long and he wants to make it as short as possible.
In the given sequence moving up is described by character U and moving right is described by character R. Mikhail can replace any pair of consecutive moves RU or UR with a diagonal move (described as character D). After that, he can go on and do some other replacements, until there is no pair of consecutive moves RU or UR left.
Your problem is to print the minimum possible length of the sequence of moves after the replacements. | The first line of the input contains one integer *n* (1<=≤<=*n*<=≤<=100) — the length of the sequence. The second line contains the sequence consisting of *n* characters U and R. | Print the minimum possible length of the sequence of moves after all replacements are done. | [
"5\nRUURU\n",
"17\nUUURRRRRUUURURUUU\n"
] | [
"3\n",
"13\n"
] | In the first test the shortened sequence of moves may be DUD (its length is 3).
In the second test the shortened sequence of moves can be UUDRRRDUDDUUU (its length is 13). | 0 | [
{
"input": "5\nRUURU",
"output": "3"
},
{
"input": "17\nUUURRRRRUUURURUUU",
"output": "13"
},
{
"input": "100\nUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU",
"output": "100"
},
{
"input": "100\nRRURRUUUURURRRURRRRURRRRRR... | 1,638,205,130 | 2,147,483,647 | Python 3 | OK | TESTS | 11 | 46 | 0 | # -*- coding: utf-8 -*-
"""diagonal walking .ipynb
Automatically generated by Colaboratory.
Original file is located at
https://colab.research.google.com/drive/1pAmw3SAXBpNn-FeuwNJCdgpcYI-BxCEJ
"""
n=int(input())
a=input()
count=n
i=0
while i<n-1:
if a[i]!=a[i+1]:
count-=1
i+=2
else:
i+=1
print(count) | Title: Diagonal Walking
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mikhail walks on a 2D plane. He can go either up or right. You are given a sequence of Mikhail's moves. He thinks that this sequence is too long and he wants to make it as short as possible.
In the given sequence moving up is described by character U and moving right is described by character R. Mikhail can replace any pair of consecutive moves RU or UR with a diagonal move (described as character D). After that, he can go on and do some other replacements, until there is no pair of consecutive moves RU or UR left.
Your problem is to print the minimum possible length of the sequence of moves after the replacements.
Input Specification:
The first line of the input contains one integer *n* (1<=≤<=*n*<=≤<=100) — the length of the sequence. The second line contains the sequence consisting of *n* characters U and R.
Output Specification:
Print the minimum possible length of the sequence of moves after all replacements are done.
Demo Input:
['5\nRUURU\n', '17\nUUURRRRRUUURURUUU\n']
Demo Output:
['3\n', '13\n']
Note:
In the first test the shortened sequence of moves may be DUD (its length is 3).
In the second test the shortened sequence of moves can be UUDRRRDUDDUUU (its length is 13). | ```python
# -*- coding: utf-8 -*-
"""diagonal walking .ipynb
Automatically generated by Colaboratory.
Original file is located at
https://colab.research.google.com/drive/1pAmw3SAXBpNn-FeuwNJCdgpcYI-BxCEJ
"""
n=int(input())
a=input()
count=n
i=0
while i<n-1:
if a[i]!=a[i+1]:
count-=1
i+=2
else:
i+=1
print(count)
``` | 3 | |
999 | C | Alphabetic Removals | PROGRAMMING | 1,200 | [
"implementation"
] | null | null | You are given a string $s$ consisting of $n$ lowercase Latin letters. Polycarp wants to remove exactly $k$ characters ($k \le n$) from the string $s$. Polycarp uses the following algorithm $k$ times:
- if there is at least one letter 'a', remove the leftmost occurrence and stop the algorithm, otherwise go to next item; - if there is at least one letter 'b', remove the leftmost occurrence and stop the algorithm, otherwise go to next item; - ... - remove the leftmost occurrence of the letter 'z' and stop the algorithm.
This algorithm removes a single letter from the string. Polycarp performs this algorithm exactly $k$ times, thus removing exactly $k$ characters.
Help Polycarp find the resulting string. | The first line of input contains two integers $n$ and $k$ ($1 \le k \le n \le 4 \cdot 10^5$) — the length of the string and the number of letters Polycarp will remove.
The second line contains the string $s$ consisting of $n$ lowercase Latin letters. | Print the string that will be obtained from $s$ after Polycarp removes exactly $k$ letters using the above algorithm $k$ times.
If the resulting string is empty, print nothing. It is allowed to print nothing or an empty line (line break). | [
"15 3\ncccaabababaccbc\n",
"15 9\ncccaabababaccbc\n",
"1 1\nu\n"
] | [
"cccbbabaccbc\n",
"cccccc\n",
""
] | none | 0 | [
{
"input": "15 3\ncccaabababaccbc",
"output": "cccbbabaccbc"
},
{
"input": "15 9\ncccaabababaccbc",
"output": "cccccc"
},
{
"input": "5 2\nzyzyx",
"output": "zzy"
},
{
"input": "4 3\nhack",
"output": "k"
},
{
"input": "4 3\nzzzz",
"output": "z"
},
{
"i... | 1,681,469,192 | 2,147,483,647 | PyPy 3-64 | TIME_LIMIT_EXCEEDED | TESTS | 3 | 2,000 | 8,908,800 | a,b = map(int,input().split())
string = input()
for x in range(b):
string = string.replace(min(string),"",1)
print(string) | Title: Alphabetic Removals
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a string $s$ consisting of $n$ lowercase Latin letters. Polycarp wants to remove exactly $k$ characters ($k \le n$) from the string $s$. Polycarp uses the following algorithm $k$ times:
- if there is at least one letter 'a', remove the leftmost occurrence and stop the algorithm, otherwise go to next item; - if there is at least one letter 'b', remove the leftmost occurrence and stop the algorithm, otherwise go to next item; - ... - remove the leftmost occurrence of the letter 'z' and stop the algorithm.
This algorithm removes a single letter from the string. Polycarp performs this algorithm exactly $k$ times, thus removing exactly $k$ characters.
Help Polycarp find the resulting string.
Input Specification:
The first line of input contains two integers $n$ and $k$ ($1 \le k \le n \le 4 \cdot 10^5$) — the length of the string and the number of letters Polycarp will remove.
The second line contains the string $s$ consisting of $n$ lowercase Latin letters.
Output Specification:
Print the string that will be obtained from $s$ after Polycarp removes exactly $k$ letters using the above algorithm $k$ times.
If the resulting string is empty, print nothing. It is allowed to print nothing or an empty line (line break).
Demo Input:
['15 3\ncccaabababaccbc\n', '15 9\ncccaabababaccbc\n', '1 1\nu\n']
Demo Output:
['cccbbabaccbc\n', 'cccccc\n', '']
Note:
none | ```python
a,b = map(int,input().split())
string = input()
for x in range(b):
string = string.replace(min(string),"",1)
print(string)
``` | 0 | |
259 | B | Little Elephant and Magic Square | PROGRAMMING | 1,100 | [
"brute force",
"implementation"
] | null | null | Little Elephant loves magic squares very much.
A magic square is a 3<=×<=3 table, each cell contains some positive integer. At that the sums of integers in all rows, columns and diagonals of the table are equal. The figure below shows the magic square, the sum of integers in all its rows, columns and diagonals equals 15.
The Little Elephant remembered one magic square. He started writing this square on a piece of paper, but as he wrote, he forgot all three elements of the main diagonal of the magic square. Fortunately, the Little Elephant clearly remembered that all elements of the magic square did not exceed 105.
Help the Little Elephant, restore the original magic square, given the Elephant's notes. | The first three lines of the input contain the Little Elephant's notes. The first line contains elements of the first row of the magic square. The second line contains the elements of the second row, the third line is for the third row. The main diagonal elements that have been forgotten by the Elephant are represented by zeroes.
It is guaranteed that the notes contain exactly three zeroes and they are all located on the main diagonal. It is guaranteed that all positive numbers in the table do not exceed 105. | Print three lines, in each line print three integers — the Little Elephant's magic square. If there are multiple magic squares, you are allowed to print any of them. Note that all numbers you print must be positive and not exceed 105.
It is guaranteed that there exists at least one magic square that meets the conditions. | [
"0 1 1\n1 0 1\n1 1 0\n",
"0 3 6\n5 0 5\n4 7 0\n"
] | [
"1 1 1\n1 1 1\n1 1 1\n",
"6 3 6\n5 5 5\n4 7 4\n"
] | none | 1,000 | [
{
"input": "0 1 1\n1 0 1\n1 1 0",
"output": "1 1 1\n1 1 1\n1 1 1"
},
{
"input": "0 3 6\n5 0 5\n4 7 0",
"output": "6 3 6\n5 5 5\n4 7 4"
},
{
"input": "0 4 4\n4 0 4\n4 4 0",
"output": "4 4 4\n4 4 4\n4 4 4"
},
{
"input": "0 54 48\n36 0 78\n66 60 0",
"output": "69 54 48\n36 5... | 1,603,861,637 | 2,147,483,647 | Python 3 | OK | TESTS | 24 | 218 | 0 | l,q=[0]*3,0
for i in range(3):l[i]=list(map(int,input().split()));q+=sum(l[i])
for i in range(3):l[i][i]=q//2-sum(l[i]);print(*l[i]) | Title: Little Elephant and Magic Square
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little Elephant loves magic squares very much.
A magic square is a 3<=×<=3 table, each cell contains some positive integer. At that the sums of integers in all rows, columns and diagonals of the table are equal. The figure below shows the magic square, the sum of integers in all its rows, columns and diagonals equals 15.
The Little Elephant remembered one magic square. He started writing this square on a piece of paper, but as he wrote, he forgot all three elements of the main diagonal of the magic square. Fortunately, the Little Elephant clearly remembered that all elements of the magic square did not exceed 105.
Help the Little Elephant, restore the original magic square, given the Elephant's notes.
Input Specification:
The first three lines of the input contain the Little Elephant's notes. The first line contains elements of the first row of the magic square. The second line contains the elements of the second row, the third line is for the third row. The main diagonal elements that have been forgotten by the Elephant are represented by zeroes.
It is guaranteed that the notes contain exactly three zeroes and they are all located on the main diagonal. It is guaranteed that all positive numbers in the table do not exceed 105.
Output Specification:
Print three lines, in each line print three integers — the Little Elephant's magic square. If there are multiple magic squares, you are allowed to print any of them. Note that all numbers you print must be positive and not exceed 105.
It is guaranteed that there exists at least one magic square that meets the conditions.
Demo Input:
['0 1 1\n1 0 1\n1 1 0\n', '0 3 6\n5 0 5\n4 7 0\n']
Demo Output:
['1 1 1\n1 1 1\n1 1 1\n', '6 3 6\n5 5 5\n4 7 4\n']
Note:
none | ```python
l,q=[0]*3,0
for i in range(3):l[i]=list(map(int,input().split()));q+=sum(l[i])
for i in range(3):l[i][i]=q//2-sum(l[i]);print(*l[i])
``` | 3 | |
753 | B | Interactive Bulls and Cows (Easy) | PROGRAMMING | 1,600 | [
"brute force",
"constructive algorithms",
"implementation"
] | null | null | This problem is a little bit unusual. Here you are to implement an interaction with a testing system. That means that you can make queries and get responses in the online mode. Please be sure to use the stream flushing operation after each query's output in order not to leave part of your output in some buffer. For example, in C++ you've got to use the fflush(stdout) function, in Java — call System.out.flush(), and in Pascal — flush(output).
Bulls and Cows (also known as Cows and Bulls or Pigs and Bulls or Bulls and Cleots) is an old code-breaking paper and pencil game for two players, predating the similar commercially marketed board game Mastermind.
On a sheet of paper, the first player thinks a secret string. This string consists only of digits and has the length 4. The digits in the string must be all different, no two or more equal digits are allowed.
Then the second player tries to guess his opponent's string. For every guess the first player gives the number of matches. If the matching digits are on their right positions, they are "bulls", if on different positions, they are "cows". Thus a response is a pair of numbers — the number of "bulls" and the number of "cows". A try can contain equal digits.
More formally, let's the secret string is *s* and the second player are trying to guess it with a string *x*. The number of "bulls" is a number of such positions *i* (1<=≤<=*i*<=≤<=4) where *s*[*i*]<==<=*x*[*i*]. The number of "cows" is a number of such digits *c* that *s* contains *c* in the position *i* (i.e. *s*[*i*]<==<=*c*), *x* contains *c*, but *x*[*i*]<=≠<=*c*.
For example, the secret string is "0427", the opponent's try is "0724", then the answer is 2 bulls and 2 cows (the bulls are "0" and "2", the cows are "4" and "7"). If the secret string is "0123", the opponent's try is "0330", then the answer is 1 bull and 1 cow.
In this problem you are to guess the string *s* that the system has chosen. You only know that the chosen string consists of 4 distinct digits.
You can make queries to the testing system, each query is the output of a single 4-digit string. The answer to the query is the number of bulls and number of cows. If the system's response equals "4 0", that means the interaction with your problem is over and the program must terminate. That is possible for two reasons — the program either guessed the number *x* or made an invalid action (for example, printed letters instead of digits).
Your program is allowed to do at most 50 queries.
You can hack solutions of other participants providing a 4-digit string containing distinct digits — the secret string. | To read answers to the queries, the program must use the standard input.
The program will receive pairs of non-negative integers in the input, one pair per line. The first number in a pair is a number of bulls and the second one is a number of cows of the string *s* and the string *x**i* printed by your program. If the system response equals "4 0", then your solution should terminate.
The testing system will let your program read the *i*-th pair of integers from the input only after your program displays the corresponding system query in the output: prints value *x**i* in a single line and executes operation flush. | The program must use the standard output to print queries.
Your program must output requests — 4-digit strings *x*1,<=*x*2,<=..., one per line. After the output of each line the program must execute flush operation. The program should read the answer to the query from the standard input.
Your program is allowed to do at most 50 queries. | [
"0 1\n2 0\n1 1\n0 4\n2 1\n4 0\n"
] | [
"8000\n0179\n3159\n3210\n0112\n0123"
] | The secret string *s* in the example is "0123". | 1,000 | [
{
"input": "0123",
"output": "20"
},
{
"input": "1234",
"output": "20"
},
{
"input": "9876",
"output": "20"
},
{
"input": "7158",
"output": "20"
},
{
"input": "7590",
"output": "20"
},
{
"input": "7325",
"output": "20"
},
{
"input": "7524",... | 1,483,003,948 | 1,648 | Python 3 | OK | TESTS | 41 | 62 | 4,608,000 | from sys import stdout
from itertools import permutations
var = []
for i in range(10):
print(str(i) * 4)
stdout.flush()
a, b = map(int, input().split())
if a:
var.append(str(i))
for t in permutations(var):
print(''.join(t))
stdout.flush()
a, b = map(int, input().split())
if a == 4:
break | Title: Interactive Bulls and Cows (Easy)
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
This problem is a little bit unusual. Here you are to implement an interaction with a testing system. That means that you can make queries and get responses in the online mode. Please be sure to use the stream flushing operation after each query's output in order not to leave part of your output in some buffer. For example, in C++ you've got to use the fflush(stdout) function, in Java — call System.out.flush(), and in Pascal — flush(output).
Bulls and Cows (also known as Cows and Bulls or Pigs and Bulls or Bulls and Cleots) is an old code-breaking paper and pencil game for two players, predating the similar commercially marketed board game Mastermind.
On a sheet of paper, the first player thinks a secret string. This string consists only of digits and has the length 4. The digits in the string must be all different, no two or more equal digits are allowed.
Then the second player tries to guess his opponent's string. For every guess the first player gives the number of matches. If the matching digits are on their right positions, they are "bulls", if on different positions, they are "cows". Thus a response is a pair of numbers — the number of "bulls" and the number of "cows". A try can contain equal digits.
More formally, let's the secret string is *s* and the second player are trying to guess it with a string *x*. The number of "bulls" is a number of such positions *i* (1<=≤<=*i*<=≤<=4) where *s*[*i*]<==<=*x*[*i*]. The number of "cows" is a number of such digits *c* that *s* contains *c* in the position *i* (i.e. *s*[*i*]<==<=*c*), *x* contains *c*, but *x*[*i*]<=≠<=*c*.
For example, the secret string is "0427", the opponent's try is "0724", then the answer is 2 bulls and 2 cows (the bulls are "0" and "2", the cows are "4" and "7"). If the secret string is "0123", the opponent's try is "0330", then the answer is 1 bull and 1 cow.
In this problem you are to guess the string *s* that the system has chosen. You only know that the chosen string consists of 4 distinct digits.
You can make queries to the testing system, each query is the output of a single 4-digit string. The answer to the query is the number of bulls and number of cows. If the system's response equals "4 0", that means the interaction with your problem is over and the program must terminate. That is possible for two reasons — the program either guessed the number *x* or made an invalid action (for example, printed letters instead of digits).
Your program is allowed to do at most 50 queries.
You can hack solutions of other participants providing a 4-digit string containing distinct digits — the secret string.
Input Specification:
To read answers to the queries, the program must use the standard input.
The program will receive pairs of non-negative integers in the input, one pair per line. The first number in a pair is a number of bulls and the second one is a number of cows of the string *s* and the string *x**i* printed by your program. If the system response equals "4 0", then your solution should terminate.
The testing system will let your program read the *i*-th pair of integers from the input only after your program displays the corresponding system query in the output: prints value *x**i* in a single line and executes operation flush.
Output Specification:
The program must use the standard output to print queries.
Your program must output requests — 4-digit strings *x*1,<=*x*2,<=..., one per line. After the output of each line the program must execute flush operation. The program should read the answer to the query from the standard input.
Your program is allowed to do at most 50 queries.
Demo Input:
['0 1\n2 0\n1 1\n0 4\n2 1\n4 0\n']
Demo Output:
['8000\n0179\n3159\n3210\n0112\n0123']
Note:
The secret string *s* in the example is "0123". | ```python
from sys import stdout
from itertools import permutations
var = []
for i in range(10):
print(str(i) * 4)
stdout.flush()
a, b = map(int, input().split())
if a:
var.append(str(i))
for t in permutations(var):
print(''.join(t))
stdout.flush()
a, b = map(int, input().split())
if a == 4:
break
``` | 3 | |
63 | B | Settlers' Training | PROGRAMMING | 1,200 | [
"implementation"
] | B. Settlers' Training | 2 | 256 | In a strategic computer game "Settlers II" one has to build defense structures to expand and protect the territory. Let's take one of these buildings. At the moment the defense structure accommodates exactly *n* soldiers. Within this task we can assume that the number of soldiers in the defense structure won't either increase or decrease.
Every soldier has a rank — some natural number from 1 to *k*. 1 stands for a private and *k* stands for a general. The higher the rank of the soldier is, the better he fights. Therefore, the player profits from having the soldiers of the highest possible rank.
To increase the ranks of soldiers they need to train. But the soldiers won't train for free, and each training session requires one golden coin. On each training session all the *n* soldiers are present.
At the end of each training session the soldiers' ranks increase as follows. First all the soldiers are divided into groups with the same rank, so that the least possible number of groups is formed. Then, within each of the groups where the soldiers below the rank *k* are present, exactly one soldier increases his rank by one.
You know the ranks of all *n* soldiers at the moment. Determine the number of golden coins that are needed to increase the ranks of all the soldiers to the rank *k*. | The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=100). They represent the number of soldiers and the number of different ranks correspondingly. The second line contains *n* numbers in the non-decreasing order. The *i*-th of them, *a**i*, represents the rank of the *i*-th soldier in the defense building (1<=≤<=*i*<=≤<=*n*, 1<=≤<=*a**i*<=≤<=*k*). | Print a single integer — the number of golden coins needed to raise all the soldiers to the maximal rank. | [
"4 4\n1 2 2 3\n",
"4 3\n1 1 1 1\n"
] | [
"4",
"5"
] | In the first example the ranks will be raised in the following manner:
1 2 2 3 → 2 2 3 4 → 2 3 4 4 → 3 4 4 4 → 4 4 4 4
Thus totals to 4 training sessions that require 4 golden coins. | 1,000 | [
{
"input": "4 4\n1 2 2 3",
"output": "4"
},
{
"input": "4 3\n1 1 1 1",
"output": "5"
},
{
"input": "3 3\n1 2 3",
"output": "2"
},
{
"input": "1 1\n1",
"output": "0"
},
{
"input": "1 5\n1",
"output": "4"
},
{
"input": "1 5\n4",
"output": "1"
},
... | 1,622,060,653 | 2,147,483,647 | PyPy 3 | OK | TESTS | 37 | 218 | 1,331,200 | n,k=list(map(int,input().split()))
a=list(map(int,input().split()))
c=0
while a!=[k]*n:
a.sort()
for i in range(1,n):
if a[i]!=a[i-1]:
a[i-1]+=1
if a[n-1]<k:
a[n-1]+=1
c+=1
print(c) | Title: Settlers' Training
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
In a strategic computer game "Settlers II" one has to build defense structures to expand and protect the territory. Let's take one of these buildings. At the moment the defense structure accommodates exactly *n* soldiers. Within this task we can assume that the number of soldiers in the defense structure won't either increase or decrease.
Every soldier has a rank — some natural number from 1 to *k*. 1 stands for a private and *k* stands for a general. The higher the rank of the soldier is, the better he fights. Therefore, the player profits from having the soldiers of the highest possible rank.
To increase the ranks of soldiers they need to train. But the soldiers won't train for free, and each training session requires one golden coin. On each training session all the *n* soldiers are present.
At the end of each training session the soldiers' ranks increase as follows. First all the soldiers are divided into groups with the same rank, so that the least possible number of groups is formed. Then, within each of the groups where the soldiers below the rank *k* are present, exactly one soldier increases his rank by one.
You know the ranks of all *n* soldiers at the moment. Determine the number of golden coins that are needed to increase the ranks of all the soldiers to the rank *k*.
Input Specification:
The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=100). They represent the number of soldiers and the number of different ranks correspondingly. The second line contains *n* numbers in the non-decreasing order. The *i*-th of them, *a**i*, represents the rank of the *i*-th soldier in the defense building (1<=≤<=*i*<=≤<=*n*, 1<=≤<=*a**i*<=≤<=*k*).
Output Specification:
Print a single integer — the number of golden coins needed to raise all the soldiers to the maximal rank.
Demo Input:
['4 4\n1 2 2 3\n', '4 3\n1 1 1 1\n']
Demo Output:
['4', '5']
Note:
In the first example the ranks will be raised in the following manner:
1 2 2 3 → 2 2 3 4 → 2 3 4 4 → 3 4 4 4 → 4 4 4 4
Thus totals to 4 training sessions that require 4 golden coins. | ```python
n,k=list(map(int,input().split()))
a=list(map(int,input().split()))
c=0
while a!=[k]*n:
a.sort()
for i in range(1,n):
if a[i]!=a[i-1]:
a[i-1]+=1
if a[n-1]<k:
a[n-1]+=1
c+=1
print(c)
``` | 3.94302 |
0 | none | none | none | 0 | [
"none"
] | null | null | In a building where Polycarp lives there are equal number of flats on each floor. Unfortunately, Polycarp don't remember how many flats are on each floor, but he remembers that the flats are numbered from 1 from lower to upper floors. That is, the first several flats are on the first floor, the next several flats are on the second and so on. Polycarp don't remember the total number of flats in the building, so you can consider the building to be infinitely high (i.e. there are infinitely many floors). Note that the floors are numbered from 1.
Polycarp remembers on which floors several flats are located. It is guaranteed that this information is not self-contradictory. It means that there exists a building with equal number of flats on each floor so that the flats from Polycarp's memory have the floors Polycarp remembers.
Given this information, is it possible to restore the exact floor for flat *n*? | The first line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100, 0<=≤<=*m*<=≤<=100), where *n* is the number of the flat you need to restore floor for, and *m* is the number of flats in Polycarp's memory.
*m* lines follow, describing the Polycarp's memory: each of these lines contains a pair of integers *k**i*,<=*f**i* (1<=≤<=*k**i*<=≤<=100, 1<=≤<=*f**i*<=≤<=100), which means that the flat *k**i* is on the *f**i*-th floor. All values *k**i* are distinct.
It is guaranteed that the given information is not self-contradictory. | Print the number of the floor in which the *n*-th flat is located, if it is possible to determine it in a unique way. Print -1 if it is not possible to uniquely restore this floor. | [
"10 3\n6 2\n2 1\n7 3\n",
"8 4\n3 1\n6 2\n5 2\n2 1\n"
] | [
"4\n",
"-1\n"
] | In the first example the 6-th flat is on the 2-nd floor, while the 7-th flat is on the 3-rd, so, the 6-th flat is the last on its floor and there are 3 flats on each floor. Thus, the 10-th flat is on the 4-th floor.
In the second example there can be 3 or 4 flats on each floor, so we can't restore the floor for the 8-th flat. | 0 | [
{
"input": "10 3\n6 2\n2 1\n7 3",
"output": "4"
},
{
"input": "8 4\n3 1\n6 2\n5 2\n2 1",
"output": "-1"
},
{
"input": "8 3\n7 2\n6 2\n1 1",
"output": "2"
},
{
"input": "4 2\n8 3\n3 1",
"output": "2"
},
{
"input": "11 4\n16 4\n11 3\n10 3\n15 4",
"output": "3"
... | 1,505,658,442 | 4,942 | Python 3 | WRONG_ANSWER | PRETESTS | 2 | 46 | 4,608,000 | n, m = map(int,input().split())
a = [True] * 100
for i in range(m):
x, y = map(int,input().split())
if y == 1:
for j in range(x):
a[j - 1] = False
else:
for j in range(x // y + 1 if x % y != 0 else x // y):
for j in range(1, 101):
if not(j * (y - 1) < x <= j * y):
a[j - 1] = False
vars = []
for i in range(1, n + 1):
if a[i - 1]:
for j in range(1, 101):
if i * (j - 1) < n <= i * j:
vars.append(j)
break
if len(vars) == 1:
print(vars[0])
else:
print(-1) | Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In a building where Polycarp lives there are equal number of flats on each floor. Unfortunately, Polycarp don't remember how many flats are on each floor, but he remembers that the flats are numbered from 1 from lower to upper floors. That is, the first several flats are on the first floor, the next several flats are on the second and so on. Polycarp don't remember the total number of flats in the building, so you can consider the building to be infinitely high (i.e. there are infinitely many floors). Note that the floors are numbered from 1.
Polycarp remembers on which floors several flats are located. It is guaranteed that this information is not self-contradictory. It means that there exists a building with equal number of flats on each floor so that the flats from Polycarp's memory have the floors Polycarp remembers.
Given this information, is it possible to restore the exact floor for flat *n*?
Input Specification:
The first line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100, 0<=≤<=*m*<=≤<=100), where *n* is the number of the flat you need to restore floor for, and *m* is the number of flats in Polycarp's memory.
*m* lines follow, describing the Polycarp's memory: each of these lines contains a pair of integers *k**i*,<=*f**i* (1<=≤<=*k**i*<=≤<=100, 1<=≤<=*f**i*<=≤<=100), which means that the flat *k**i* is on the *f**i*-th floor. All values *k**i* are distinct.
It is guaranteed that the given information is not self-contradictory.
Output Specification:
Print the number of the floor in which the *n*-th flat is located, if it is possible to determine it in a unique way. Print -1 if it is not possible to uniquely restore this floor.
Demo Input:
['10 3\n6 2\n2 1\n7 3\n', '8 4\n3 1\n6 2\n5 2\n2 1\n']
Demo Output:
['4\n', '-1\n']
Note:
In the first example the 6-th flat is on the 2-nd floor, while the 7-th flat is on the 3-rd, so, the 6-th flat is the last on its floor and there are 3 flats on each floor. Thus, the 10-th flat is on the 4-th floor.
In the second example there can be 3 or 4 flats on each floor, so we can't restore the floor for the 8-th flat. | ```python
n, m = map(int,input().split())
a = [True] * 100
for i in range(m):
x, y = map(int,input().split())
if y == 1:
for j in range(x):
a[j - 1] = False
else:
for j in range(x // y + 1 if x % y != 0 else x // y):
for j in range(1, 101):
if not(j * (y - 1) < x <= j * y):
a[j - 1] = False
vars = []
for i in range(1, n + 1):
if a[i - 1]:
for j in range(1, 101):
if i * (j - 1) < n <= i * j:
vars.append(j)
break
if len(vars) == 1:
print(vars[0])
else:
print(-1)
``` | 0 | |
38 | A | Army | PROGRAMMING | 800 | [
"implementation"
] | A. Army | 2 | 256 | The Berland Armed Forces System consists of *n* ranks that are numbered using natural numbers from 1 to *n*, where 1 is the lowest rank and *n* is the highest rank.
One needs exactly *d**i* years to rise from rank *i* to rank *i*<=+<=1. Reaching a certain rank *i* having not reached all the previous *i*<=-<=1 ranks is impossible.
Vasya has just reached a new rank of *a*, but he dreams of holding the rank of *b*. Find for how many more years Vasya should serve in the army until he can finally realize his dream. | The first input line contains an integer *n* (2<=≤<=*n*<=≤<=100). The second line contains *n*<=-<=1 integers *d**i* (1<=≤<=*d**i*<=≤<=100). The third input line contains two integers *a* and *b* (1<=≤<=*a*<=<<=*b*<=≤<=*n*). The numbers on the lines are space-separated. | Print the single number which is the number of years that Vasya needs to rise from rank *a* to rank *b*. | [
"3\n5 6\n1 2\n",
"3\n5 6\n1 3\n"
] | [
"5\n",
"11\n"
] | none | 0 | [
{
"input": "3\n5 6\n1 2",
"output": "5"
},
{
"input": "3\n5 6\n1 3",
"output": "11"
},
{
"input": "2\n55\n1 2",
"output": "55"
},
{
"input": "3\n85 78\n1 3",
"output": "163"
},
{
"input": "4\n63 4 49\n2 3",
"output": "4"
},
{
"input": "5\n93 83 42 56\n... | 1,407,049,132 | 2,147,483,647 | Python 3 | OK | TESTS | 50 | 124 | 0 | n = int(input())
m = [int(i) for i in input().split(' ')]
a,b = map(int,input().split(' '))
SUM = 0
for i in range(a-1,b-1):
SUM += m[i]
print(SUM)
| Title: Army
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
The Berland Armed Forces System consists of *n* ranks that are numbered using natural numbers from 1 to *n*, where 1 is the lowest rank and *n* is the highest rank.
One needs exactly *d**i* years to rise from rank *i* to rank *i*<=+<=1. Reaching a certain rank *i* having not reached all the previous *i*<=-<=1 ranks is impossible.
Vasya has just reached a new rank of *a*, but he dreams of holding the rank of *b*. Find for how many more years Vasya should serve in the army until he can finally realize his dream.
Input Specification:
The first input line contains an integer *n* (2<=≤<=*n*<=≤<=100). The second line contains *n*<=-<=1 integers *d**i* (1<=≤<=*d**i*<=≤<=100). The third input line contains two integers *a* and *b* (1<=≤<=*a*<=<<=*b*<=≤<=*n*). The numbers on the lines are space-separated.
Output Specification:
Print the single number which is the number of years that Vasya needs to rise from rank *a* to rank *b*.
Demo Input:
['3\n5 6\n1 2\n', '3\n5 6\n1 3\n']
Demo Output:
['5\n', '11\n']
Note:
none | ```python
n = int(input())
m = [int(i) for i in input().split(' ')]
a,b = map(int,input().split(' '))
SUM = 0
for i in range(a-1,b-1):
SUM += m[i]
print(SUM)
``` | 3.969 |
747 | A | Display Size | PROGRAMMING | 800 | [
"brute force",
"math"
] | null | null | A big company decided to launch a new series of rectangular displays, and decided that the display must have exactly *n* pixels.
Your task is to determine the size of the rectangular display — the number of lines (rows) of pixels *a* and the number of columns of pixels *b*, so that:
- there are exactly *n* pixels on the display; - the number of rows does not exceed the number of columns, it means *a*<=≤<=*b*; - the difference *b*<=-<=*a* is as small as possible. | The first line contains the positive integer *n* (1<=≤<=*n*<=≤<=106) — the number of pixels display should have. | Print two integers — the number of rows and columns on the display. | [
"8\n",
"64\n",
"5\n",
"999999\n"
] | [
"2 4\n",
"8 8\n",
"1 5\n",
"999 1001\n"
] | In the first example the minimum possible difference equals 2, so on the display should be 2 rows of 4 pixels.
In the second example the minimum possible difference equals 0, so on the display should be 8 rows of 8 pixels.
In the third example the minimum possible difference equals 4, so on the display should be 1 row of 5 pixels. | 500 | [
{
"input": "8",
"output": "2 4"
},
{
"input": "64",
"output": "8 8"
},
{
"input": "5",
"output": "1 5"
},
{
"input": "999999",
"output": "999 1001"
},
{
"input": "716539",
"output": "97 7387"
},
{
"input": "1",
"output": "1 1"
},
{
"input":... | 1,499,831,877 | 2,147,483,647 | Python 3 | OK | TESTS | 43 | 77 | 5,529,600 | import math
while True:
try:
num = int(input())
ans = int(math.sqrt(num))
while True:
if num % ans == 0:
print(ans, num // ans)
break
else:
ans -= 1
except EOFError:
break
| Title: Display Size
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A big company decided to launch a new series of rectangular displays, and decided that the display must have exactly *n* pixels.
Your task is to determine the size of the rectangular display — the number of lines (rows) of pixels *a* and the number of columns of pixels *b*, so that:
- there are exactly *n* pixels on the display; - the number of rows does not exceed the number of columns, it means *a*<=≤<=*b*; - the difference *b*<=-<=*a* is as small as possible.
Input Specification:
The first line contains the positive integer *n* (1<=≤<=*n*<=≤<=106) — the number of pixels display should have.
Output Specification:
Print two integers — the number of rows and columns on the display.
Demo Input:
['8\n', '64\n', '5\n', '999999\n']
Demo Output:
['2 4\n', '8 8\n', '1 5\n', '999 1001\n']
Note:
In the first example the minimum possible difference equals 2, so on the display should be 2 rows of 4 pixels.
In the second example the minimum possible difference equals 0, so on the display should be 8 rows of 8 pixels.
In the third example the minimum possible difference equals 4, so on the display should be 1 row of 5 pixels. | ```python
import math
while True:
try:
num = int(input())
ans = int(math.sqrt(num))
while True:
if num % ans == 0:
print(ans, num // ans)
break
else:
ans -= 1
except EOFError:
break
``` | 3 | |
986 | A | Fair | PROGRAMMING | 1,600 | [
"graphs",
"greedy",
"number theory",
"shortest paths"
] | null | null | Some company is going to hold a fair in Byteland. There are $n$ towns in Byteland and $m$ two-way roads between towns. Of course, you can reach any town from any other town using roads.
There are $k$ types of goods produced in Byteland and every town produces only one type. To hold a fair you have to bring at least $s$ different types of goods. It costs $d(u,v)$ coins to bring goods from town $u$ to town $v$ where $d(u,v)$ is the length of the shortest path from $u$ to $v$. Length of a path is the number of roads in this path.
The organizers will cover all travel expenses but they can choose the towns to bring goods from. Now they want to calculate minimum expenses to hold a fair in each of $n$ towns. | There are $4$ integers $n$, $m$, $k$, $s$ in the first line of input ($1 \le n \le 10^{5}$, $0 \le m \le 10^{5}$, $1 \le s \le k \le min(n, 100)$) — the number of towns, the number of roads, the number of different types of goods, the number of different types of goods necessary to hold a fair.
In the next line there are $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \le a_{i} \le k$), where $a_i$ is the type of goods produced in the $i$-th town. It is guaranteed that all integers between $1$ and $k$ occur at least once among integers $a_{i}$.
In the next $m$ lines roads are described. Each road is described by two integers $u$ $v$ ($1 \le u, v \le n$, $u \ne v$) — the towns connected by this road. It is guaranteed that there is no more than one road between every two towns. It is guaranteed that you can go from any town to any other town via roads. | Print $n$ numbers, the $i$-th of them is the minimum number of coins you need to spend on travel expenses to hold a fair in town $i$. Separate numbers with spaces. | [
"5 5 4 3\n1 2 4 3 2\n1 2\n2 3\n3 4\n4 1\n4 5\n",
"7 6 3 2\n1 2 3 3 2 2 1\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n"
] | [
"2 2 2 2 3 \n",
"1 1 1 2 2 1 1 \n"
] | Let's look at the first sample.
To hold a fair in town $1$ you can bring goods from towns $1$ ($0$ coins), $2$ ($1$ coin) and $4$ ($1$ coin). Total numbers of coins is $2$.
Town $2$: Goods from towns $2$ ($0$), $1$ ($1$), $3$ ($1$). Sum equals $2$.
Town $3$: Goods from towns $3$ ($0$), $2$ ($1$), $4$ ($1$). Sum equals $2$.
Town $4$: Goods from towns $4$ ($0$), $1$ ($1$), $5$ ($1$). Sum equals $2$.
Town $5$: Goods from towns $5$ ($0$), $4$ ($1$), $3$ ($2$). Sum equals $3$. | 500 | [] | 1,608,912,072 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 5 | 2,000 | 64,512,000 | # Not my code
# https://codeforces.com/contest/986/submission/102262061
# Template: https://codeforces.com/profile/kabeer27
from __future__ import division, print_function
from collections import defaultdict,deque
import math
import io,os,sys
#input=io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
#out=__pypy__.builders.StringBuilder()
from types import GeneratorType
def bootstrap(f, stack=[]):
def wrappedfunc(*args, **kwargs):
if stack:
return f(*args, **kwargs)
else:
to = f(*args, **kwargs)
while True:
if type(to) is GeneratorType:
stack.append(to)
to = next(to)
else:
stack.pop()
if not stack:
break
to = stack[-1].send(to)
return to
return wrappedfunc
def main():
n,m,k,s=map(int,input().split())
l=list(map(int,input().split()))
graph=defaultdict(list)
for j in range(m):
a,b=map(int,input().split())
a-=1
b-=1
graph[a].append(b)
graph[b].append(a)
ans=[[0 for i in range(k)]for j in range(n)]
for c in range(1,k+1):
temp=[100]*n
d=deque()
for i in range(n):
if l[i]==c:
temp[i]=0
d.append(i)
while(len(d)>0):
v=d.popleft()
for i in graph[v]:
if temp[v]+1<temp[i]:
temp[i]=temp[v]+1
d.append(i)
for i in range(n):
ans[i][c-1]=temp[i]
res=0
for i in range(n):
ans[i].sort()
res=sum(ans[i][:s])
print(res,end=' ')
######## Python 2 and 3 footer by Pajenegod and c1729
# Note because cf runs old PyPy3 version which doesn't have the sped up
# unicode strings, PyPy3 strings will many times be slower than pypy2.
# There is a way to get around this by using binary strings in PyPy3
# but its syntax is different which makes it kind of a mess to use.
# So on cf, use PyPy2 for best string performance.
py2 = round(0.5)
if py2:
from future_builtins import ascii, filter, hex, map, oct, zip
range = xrange
import os, sys
from io import IOBase, BytesIO
BUFSIZE = 8192
class FastIO(BytesIO):
newlines = 0
def __init__(self, file):
self._file = file
self._fd = file.fileno()
self.writable = "x" in file.mode or "w" in file.mode
self.write = super(FastIO, self).write if self.writable else None
def _fill(self):
s = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.seek((self.tell(), self.seek(0,2), super(FastIO, self).write(s))[0])
return s
def read(self):
while self._fill(): pass
return super(FastIO,self).read()
def readline(self):
while self.newlines == 0:
s = self._fill(); self.newlines = s.count(b"\n") + (not s)
self.newlines -= 1
return super(FastIO, self).readline()
def flush(self):
if self.writable:
os.write(self._fd, self.getvalue())
self.truncate(0), self.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
if py2:
self.write = self.buffer.write
self.read = self.buffer.read
self.readline = self.buffer.readline
else:
self.write = lambda s:self.buffer.write(s.encode('ascii'))
self.read = lambda:self.buffer.read().decode('ascii')
self.readline = lambda:self.buffer.readline().decode('ascii')
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip('\r\n')
main()
| Title: Fair
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Some company is going to hold a fair in Byteland. There are $n$ towns in Byteland and $m$ two-way roads between towns. Of course, you can reach any town from any other town using roads.
There are $k$ types of goods produced in Byteland and every town produces only one type. To hold a fair you have to bring at least $s$ different types of goods. It costs $d(u,v)$ coins to bring goods from town $u$ to town $v$ where $d(u,v)$ is the length of the shortest path from $u$ to $v$. Length of a path is the number of roads in this path.
The organizers will cover all travel expenses but they can choose the towns to bring goods from. Now they want to calculate minimum expenses to hold a fair in each of $n$ towns.
Input Specification:
There are $4$ integers $n$, $m$, $k$, $s$ in the first line of input ($1 \le n \le 10^{5}$, $0 \le m \le 10^{5}$, $1 \le s \le k \le min(n, 100)$) — the number of towns, the number of roads, the number of different types of goods, the number of different types of goods necessary to hold a fair.
In the next line there are $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \le a_{i} \le k$), where $a_i$ is the type of goods produced in the $i$-th town. It is guaranteed that all integers between $1$ and $k$ occur at least once among integers $a_{i}$.
In the next $m$ lines roads are described. Each road is described by two integers $u$ $v$ ($1 \le u, v \le n$, $u \ne v$) — the towns connected by this road. It is guaranteed that there is no more than one road between every two towns. It is guaranteed that you can go from any town to any other town via roads.
Output Specification:
Print $n$ numbers, the $i$-th of them is the minimum number of coins you need to spend on travel expenses to hold a fair in town $i$. Separate numbers with spaces.
Demo Input:
['5 5 4 3\n1 2 4 3 2\n1 2\n2 3\n3 4\n4 1\n4 5\n', '7 6 3 2\n1 2 3 3 2 2 1\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n']
Demo Output:
['2 2 2 2 3 \n', '1 1 1 2 2 1 1 \n']
Note:
Let's look at the first sample.
To hold a fair in town $1$ you can bring goods from towns $1$ ($0$ coins), $2$ ($1$ coin) and $4$ ($1$ coin). Total numbers of coins is $2$.
Town $2$: Goods from towns $2$ ($0$), $1$ ($1$), $3$ ($1$). Sum equals $2$.
Town $3$: Goods from towns $3$ ($0$), $2$ ($1$), $4$ ($1$). Sum equals $2$.
Town $4$: Goods from towns $4$ ($0$), $1$ ($1$), $5$ ($1$). Sum equals $2$.
Town $5$: Goods from towns $5$ ($0$), $4$ ($1$), $3$ ($2$). Sum equals $3$. | ```python
# Not my code
# https://codeforces.com/contest/986/submission/102262061
# Template: https://codeforces.com/profile/kabeer27
from __future__ import division, print_function
from collections import defaultdict,deque
import math
import io,os,sys
#input=io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
#out=__pypy__.builders.StringBuilder()
from types import GeneratorType
def bootstrap(f, stack=[]):
def wrappedfunc(*args, **kwargs):
if stack:
return f(*args, **kwargs)
else:
to = f(*args, **kwargs)
while True:
if type(to) is GeneratorType:
stack.append(to)
to = next(to)
else:
stack.pop()
if not stack:
break
to = stack[-1].send(to)
return to
return wrappedfunc
def main():
n,m,k,s=map(int,input().split())
l=list(map(int,input().split()))
graph=defaultdict(list)
for j in range(m):
a,b=map(int,input().split())
a-=1
b-=1
graph[a].append(b)
graph[b].append(a)
ans=[[0 for i in range(k)]for j in range(n)]
for c in range(1,k+1):
temp=[100]*n
d=deque()
for i in range(n):
if l[i]==c:
temp[i]=0
d.append(i)
while(len(d)>0):
v=d.popleft()
for i in graph[v]:
if temp[v]+1<temp[i]:
temp[i]=temp[v]+1
d.append(i)
for i in range(n):
ans[i][c-1]=temp[i]
res=0
for i in range(n):
ans[i].sort()
res=sum(ans[i][:s])
print(res,end=' ')
######## Python 2 and 3 footer by Pajenegod and c1729
# Note because cf runs old PyPy3 version which doesn't have the sped up
# unicode strings, PyPy3 strings will many times be slower than pypy2.
# There is a way to get around this by using binary strings in PyPy3
# but its syntax is different which makes it kind of a mess to use.
# So on cf, use PyPy2 for best string performance.
py2 = round(0.5)
if py2:
from future_builtins import ascii, filter, hex, map, oct, zip
range = xrange
import os, sys
from io import IOBase, BytesIO
BUFSIZE = 8192
class FastIO(BytesIO):
newlines = 0
def __init__(self, file):
self._file = file
self._fd = file.fileno()
self.writable = "x" in file.mode or "w" in file.mode
self.write = super(FastIO, self).write if self.writable else None
def _fill(self):
s = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.seek((self.tell(), self.seek(0,2), super(FastIO, self).write(s))[0])
return s
def read(self):
while self._fill(): pass
return super(FastIO,self).read()
def readline(self):
while self.newlines == 0:
s = self._fill(); self.newlines = s.count(b"\n") + (not s)
self.newlines -= 1
return super(FastIO, self).readline()
def flush(self):
if self.writable:
os.write(self._fd, self.getvalue())
self.truncate(0), self.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
if py2:
self.write = self.buffer.write
self.read = self.buffer.read
self.readline = self.buffer.readline
else:
self.write = lambda s:self.buffer.write(s.encode('ascii'))
self.read = lambda:self.buffer.read().decode('ascii')
self.readline = lambda:self.buffer.readline().decode('ascii')
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip('\r\n')
main()
``` | 0 | |
610 | A | Pasha and Stick | PROGRAMMING | 1,000 | [
"combinatorics",
"math"
] | null | null | Pasha has a wooden stick of some positive integer length *n*. He wants to perform exactly three cuts to get four parts of the stick. Each part must have some positive integer length and the sum of these lengths will obviously be *n*.
Pasha likes rectangles but hates squares, so he wonders, how many ways are there to split a stick into four parts so that it's possible to form a rectangle using these parts, but is impossible to form a square.
Your task is to help Pasha and count the number of such ways. Two ways to cut the stick are considered distinct if there exists some integer *x*, such that the number of parts of length *x* in the first way differ from the number of parts of length *x* in the second way. | The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=2·109) — the length of Pasha's stick. | The output should contain a single integer — the number of ways to split Pasha's stick into four parts of positive integer length so that it's possible to make a rectangle by connecting the ends of these parts, but is impossible to form a square. | [
"6\n",
"20\n"
] | [
"1\n",
"4\n"
] | There is only one way to divide the stick in the first sample {1, 1, 2, 2}.
Four ways to divide the stick in the second sample are {1, 1, 9, 9}, {2, 2, 8, 8}, {3, 3, 7, 7} and {4, 4, 6, 6}. Note that {5, 5, 5, 5} doesn't work. | 500 | [
{
"input": "6",
"output": "1"
},
{
"input": "20",
"output": "4"
},
{
"input": "1",
"output": "0"
},
{
"input": "2",
"output": "0"
},
{
"input": "3",
"output": "0"
},
{
"input": "4",
"output": "0"
},
{
"input": "2000000000",
"output": "4... | 1,661,444,583 | 2,147,483,647 | Python 3 | OK | TESTS | 76 | 46 | 0 | n=int(input())
if n%2!=0:
print(0)
else:
print(((n//2)-1)//2) | Title: Pasha and Stick
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Pasha has a wooden stick of some positive integer length *n*. He wants to perform exactly three cuts to get four parts of the stick. Each part must have some positive integer length and the sum of these lengths will obviously be *n*.
Pasha likes rectangles but hates squares, so he wonders, how many ways are there to split a stick into four parts so that it's possible to form a rectangle using these parts, but is impossible to form a square.
Your task is to help Pasha and count the number of such ways. Two ways to cut the stick are considered distinct if there exists some integer *x*, such that the number of parts of length *x* in the first way differ from the number of parts of length *x* in the second way.
Input Specification:
The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=2·109) — the length of Pasha's stick.
Output Specification:
The output should contain a single integer — the number of ways to split Pasha's stick into four parts of positive integer length so that it's possible to make a rectangle by connecting the ends of these parts, but is impossible to form a square.
Demo Input:
['6\n', '20\n']
Demo Output:
['1\n', '4\n']
Note:
There is only one way to divide the stick in the first sample {1, 1, 2, 2}.
Four ways to divide the stick in the second sample are {1, 1, 9, 9}, {2, 2, 8, 8}, {3, 3, 7, 7} and {4, 4, 6, 6}. Note that {5, 5, 5, 5} doesn't work. | ```python
n=int(input())
if n%2!=0:
print(0)
else:
print(((n//2)-1)//2)
``` | 3 | |
231 | A | Team | PROGRAMMING | 800 | [
"brute force",
"greedy"
] | null | null | One day three best friends Petya, Vasya and Tonya decided to form a team and take part in programming contests. Participants are usually offered several problems during programming contests. Long before the start the friends decided that they will implement a problem if at least two of them are sure about the solution. Otherwise, the friends won't write the problem's solution.
This contest offers *n* problems to the participants. For each problem we know, which friend is sure about the solution. Help the friends find the number of problems for which they will write a solution. | The first input line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of problems in the contest. Then *n* lines contain three integers each, each integer is either 0 or 1. If the first number in the line equals 1, then Petya is sure about the problem's solution, otherwise he isn't sure. The second number shows Vasya's view on the solution, the third number shows Tonya's view. The numbers on the lines are separated by spaces. | Print a single integer — the number of problems the friends will implement on the contest. | [
"3\n1 1 0\n1 1 1\n1 0 0\n",
"2\n1 0 0\n0 1 1\n"
] | [
"2\n",
"1\n"
] | In the first sample Petya and Vasya are sure that they know how to solve the first problem and all three of them know how to solve the second problem. That means that they will write solutions for these problems. Only Petya is sure about the solution for the third problem, but that isn't enough, so the friends won't take it.
In the second sample the friends will only implement the second problem, as Vasya and Tonya are sure about the solution. | 500 | [
{
"input": "3\n1 1 0\n1 1 1\n1 0 0",
"output": "2"
},
{
"input": "2\n1 0 0\n0 1 1",
"output": "1"
},
{
"input": "1\n1 0 0",
"output": "0"
},
{
"input": "2\n1 0 0\n1 1 1",
"output": "1"
},
{
"input": "5\n1 0 0\n0 1 0\n1 1 1\n0 0 1\n0 0 0",
"output": "1"
},
... | 1,696,915,715 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 21 | 156 | 2,252,800 | r = 0
for i in range(int(input())):
if sum([int(i) for i in input().split(" ")]) >= 2:
r+=1
print(r)
| Title: Team
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day three best friends Petya, Vasya and Tonya decided to form a team and take part in programming contests. Participants are usually offered several problems during programming contests. Long before the start the friends decided that they will implement a problem if at least two of them are sure about the solution. Otherwise, the friends won't write the problem's solution.
This contest offers *n* problems to the participants. For each problem we know, which friend is sure about the solution. Help the friends find the number of problems for which they will write a solution.
Input Specification:
The first input line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of problems in the contest. Then *n* lines contain three integers each, each integer is either 0 or 1. If the first number in the line equals 1, then Petya is sure about the problem's solution, otherwise he isn't sure. The second number shows Vasya's view on the solution, the third number shows Tonya's view. The numbers on the lines are separated by spaces.
Output Specification:
Print a single integer — the number of problems the friends will implement on the contest.
Demo Input:
['3\n1 1 0\n1 1 1\n1 0 0\n', '2\n1 0 0\n0 1 1\n']
Demo Output:
['2\n', '1\n']
Note:
In the first sample Petya and Vasya are sure that they know how to solve the first problem and all three of them know how to solve the second problem. That means that they will write solutions for these problems. Only Petya is sure about the solution for the third problem, but that isn't enough, so the friends won't take it.
In the second sample the friends will only implement the second problem, as Vasya and Tonya are sure about the solution. | ```python
r = 0
for i in range(int(input())):
if sum([int(i) for i in input().split(" ")]) >= 2:
r+=1
print(r)
``` | 3 | |
370 | A | Rook, Bishop and King | PROGRAMMING | 1,100 | [
"graphs",
"math",
"shortest paths"
] | null | null | Little Petya is learning to play chess. He has already learned how to move a king, a rook and a bishop. Let us remind you the rules of moving chess pieces. A chessboard is 64 square fields organized into an 8<=×<=8 table. A field is represented by a pair of integers (*r*,<=*c*) — the number of the row and the number of the column (in a classical game the columns are traditionally indexed by letters). Each chess piece takes up exactly one field. To make a move is to move a chess piece, the pieces move by the following rules:
- A rook moves any number of fields horizontally or vertically. - A bishop moves any number of fields diagonally. - A king moves one field in any direction — horizontally, vertically or diagonally.
Petya is thinking about the following problem: what minimum number of moves is needed for each of these pieces to move from field (*r*1,<=*c*1) to field (*r*2,<=*c*2)? At that, we assume that there are no more pieces besides this one on the board. Help him solve this problem. | The input contains four integers *r*1,<=*c*1,<=*r*2,<=*c*2 (1<=≤<=*r*1,<=*c*1,<=*r*2,<=*c*2<=≤<=8) — the coordinates of the starting and the final field. The starting field doesn't coincide with the final one.
You can assume that the chessboard rows are numbered from top to bottom 1 through 8, and the columns are numbered from left to right 1 through 8. | Print three space-separated integers: the minimum number of moves the rook, the bishop and the king (in this order) is needed to move from field (*r*1,<=*c*1) to field (*r*2,<=*c*2). If a piece cannot make such a move, print a 0 instead of the corresponding number. | [
"4 3 1 6\n",
"5 5 5 6\n"
] | [
"2 1 3\n",
"1 0 1\n"
] | none | 500 | [
{
"input": "4 3 1 6",
"output": "2 1 3"
},
{
"input": "5 5 5 6",
"output": "1 0 1"
},
{
"input": "1 1 8 8",
"output": "2 1 7"
},
{
"input": "1 1 8 1",
"output": "1 0 7"
},
{
"input": "1 1 1 8",
"output": "1 0 7"
},
{
"input": "8 1 1 1",
"output": "... | 1,571,164,347 | 2,147,483,647 | Python 3 | OK | TESTS | 42 | 124 | 0 | def solve_king(r1, c1, r2, c2):
return max(abs(r1-r2), abs(c1-c2))
def solve_rook(r1, c1, r2, c2):
return (r1 != r2) + (c1 != c2)
def solve_elephant(r1, c1, r2, c2):
if (r1 + c1)%2 == (r2 + c2)%2:
return 1 + (abs(r1-r2) != abs(c1-c2))
return 0
def solve(r1, c1, r2, c2):
king = solve_king(r1, c1, r2, c2)
rook = solve_rook(r1, c1, r2, c2)
elephant = solve_elephant(r1, c1, r2, c2)
return f'{rook} {elephant} {king}'
r1, r2, c1, c2 = map(int, input().split())
print(solve(r1, r2, c1, c2)) | Title: Rook, Bishop and King
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little Petya is learning to play chess. He has already learned how to move a king, a rook and a bishop. Let us remind you the rules of moving chess pieces. A chessboard is 64 square fields organized into an 8<=×<=8 table. A field is represented by a pair of integers (*r*,<=*c*) — the number of the row and the number of the column (in a classical game the columns are traditionally indexed by letters). Each chess piece takes up exactly one field. To make a move is to move a chess piece, the pieces move by the following rules:
- A rook moves any number of fields horizontally or vertically. - A bishop moves any number of fields diagonally. - A king moves one field in any direction — horizontally, vertically or diagonally.
Petya is thinking about the following problem: what minimum number of moves is needed for each of these pieces to move from field (*r*1,<=*c*1) to field (*r*2,<=*c*2)? At that, we assume that there are no more pieces besides this one on the board. Help him solve this problem.
Input Specification:
The input contains four integers *r*1,<=*c*1,<=*r*2,<=*c*2 (1<=≤<=*r*1,<=*c*1,<=*r*2,<=*c*2<=≤<=8) — the coordinates of the starting and the final field. The starting field doesn't coincide with the final one.
You can assume that the chessboard rows are numbered from top to bottom 1 through 8, and the columns are numbered from left to right 1 through 8.
Output Specification:
Print three space-separated integers: the minimum number of moves the rook, the bishop and the king (in this order) is needed to move from field (*r*1,<=*c*1) to field (*r*2,<=*c*2). If a piece cannot make such a move, print a 0 instead of the corresponding number.
Demo Input:
['4 3 1 6\n', '5 5 5 6\n']
Demo Output:
['2 1 3\n', '1 0 1\n']
Note:
none | ```python
def solve_king(r1, c1, r2, c2):
return max(abs(r1-r2), abs(c1-c2))
def solve_rook(r1, c1, r2, c2):
return (r1 != r2) + (c1 != c2)
def solve_elephant(r1, c1, r2, c2):
if (r1 + c1)%2 == (r2 + c2)%2:
return 1 + (abs(r1-r2) != abs(c1-c2))
return 0
def solve(r1, c1, r2, c2):
king = solve_king(r1, c1, r2, c2)
rook = solve_rook(r1, c1, r2, c2)
elephant = solve_elephant(r1, c1, r2, c2)
return f'{rook} {elephant} {king}'
r1, r2, c1, c2 = map(int, input().split())
print(solve(r1, r2, c1, c2))
``` | 3 | |
337 | A | Puzzles | PROGRAMMING | 900 | [
"greedy"
] | null | null | The end of the school year is near and Ms. Manana, the teacher, will soon have to say goodbye to a yet another class. She decided to prepare a goodbye present for her *n* students and give each of them a jigsaw puzzle (which, as wikipedia states, is a tiling puzzle that requires the assembly of numerous small, often oddly shaped, interlocking and tessellating pieces).
The shop assistant told the teacher that there are *m* puzzles in the shop, but they might differ in difficulty and size. Specifically, the first jigsaw puzzle consists of *f*1 pieces, the second one consists of *f*2 pieces and so on.
Ms. Manana doesn't want to upset the children, so she decided that the difference between the numbers of pieces in her presents must be as small as possible. Let *A* be the number of pieces in the largest puzzle that the teacher buys and *B* be the number of pieces in the smallest such puzzle. She wants to choose such *n* puzzles that *A*<=-<=*B* is minimum possible. Help the teacher and find the least possible value of *A*<=-<=*B*. | The first line contains space-separated integers *n* and *m* (2<=≤<=*n*<=≤<=*m*<=≤<=50). The second line contains *m* space-separated integers *f*1,<=*f*2,<=...,<=*f**m* (4<=≤<=*f**i*<=≤<=1000) — the quantities of pieces in the puzzles sold in the shop. | Print a single integer — the least possible difference the teacher can obtain. | [
"4 6\n10 12 10 7 5 22\n"
] | [
"5\n"
] | Sample 1. The class has 4 students. The shop sells 6 puzzles. If Ms. Manana buys the first four puzzles consisting of 10, 12, 10 and 7 pieces correspondingly, then the difference between the sizes of the largest and the smallest puzzle will be equal to 5. It is impossible to obtain a smaller difference. Note that the teacher can also buy puzzles 1, 3, 4 and 5 to obtain the difference 5. | 500 | [
{
"input": "4 6\n10 12 10 7 5 22",
"output": "5"
},
{
"input": "2 2\n4 4",
"output": "0"
},
{
"input": "2 10\n4 5 6 7 8 9 10 11 12 12",
"output": "0"
},
{
"input": "4 5\n818 136 713 59 946",
"output": "759"
},
{
"input": "3 20\n446 852 783 313 549 965 40 88 86 617... | 1,685,770,751 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 2 | 92 | 0 | def main():
take = input().split()
n = int(take[0])
m = int(take[1])
lst = input().split()
for i in range(len(lst)):
lst[i] = int(lst[i])
lst.sort()
current = 0
minimum = lst[current + n - 1] - lst[current]
while current + n != len(lst):
if minimum < lst[current + n - 1] - lst[current]:
minimum = lst[current + n - 1] - lst[current]
current += 1
print(minimum)
main()
| Title: Puzzles
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The end of the school year is near and Ms. Manana, the teacher, will soon have to say goodbye to a yet another class. She decided to prepare a goodbye present for her *n* students and give each of them a jigsaw puzzle (which, as wikipedia states, is a tiling puzzle that requires the assembly of numerous small, often oddly shaped, interlocking and tessellating pieces).
The shop assistant told the teacher that there are *m* puzzles in the shop, but they might differ in difficulty and size. Specifically, the first jigsaw puzzle consists of *f*1 pieces, the second one consists of *f*2 pieces and so on.
Ms. Manana doesn't want to upset the children, so she decided that the difference between the numbers of pieces in her presents must be as small as possible. Let *A* be the number of pieces in the largest puzzle that the teacher buys and *B* be the number of pieces in the smallest such puzzle. She wants to choose such *n* puzzles that *A*<=-<=*B* is minimum possible. Help the teacher and find the least possible value of *A*<=-<=*B*.
Input Specification:
The first line contains space-separated integers *n* and *m* (2<=≤<=*n*<=≤<=*m*<=≤<=50). The second line contains *m* space-separated integers *f*1,<=*f*2,<=...,<=*f**m* (4<=≤<=*f**i*<=≤<=1000) — the quantities of pieces in the puzzles sold in the shop.
Output Specification:
Print a single integer — the least possible difference the teacher can obtain.
Demo Input:
['4 6\n10 12 10 7 5 22\n']
Demo Output:
['5\n']
Note:
Sample 1. The class has 4 students. The shop sells 6 puzzles. If Ms. Manana buys the first four puzzles consisting of 10, 12, 10 and 7 pieces correspondingly, then the difference between the sizes of the largest and the smallest puzzle will be equal to 5. It is impossible to obtain a smaller difference. Note that the teacher can also buy puzzles 1, 3, 4 and 5 to obtain the difference 5. | ```python
def main():
take = input().split()
n = int(take[0])
m = int(take[1])
lst = input().split()
for i in range(len(lst)):
lst[i] = int(lst[i])
lst.sort()
current = 0
minimum = lst[current + n - 1] - lst[current]
while current + n != len(lst):
if minimum < lst[current + n - 1] - lst[current]:
minimum = lst[current + n - 1] - lst[current]
current += 1
print(minimum)
main()
``` | 0 | |
272 | A | Dima and Friends | PROGRAMMING | 1,000 | [
"implementation",
"math"
] | null | null | Dima and his friends have been playing hide and seek at Dima's place all night. As a result, Dima's place got messy. In the morning they decided that they need to clean the place.
To decide who exactly would clean the apartment, the friends want to play a counting-out game. First, all the guys stand in a circle, and then each of them shows some number of fingers on one hand (one to five), and then the boys count in a circle, starting from Dima, the number of people, respective to the total number of fingers shown. The person on who the countdown stops will clean the apartment.
For example, if Dima and one of his friends played hide and seek, and 7 fingers were shown during the counting-out, then Dima would clean the place. If there were 2 or say, 8 fingers shown, then his friend would clean the place.
Dima knows how many fingers each of his friends will show during the counting-out. Now he is interested in the number of ways to show some number of fingers on one hand (one to five), so that he did not have to clean the place. Help Dima. | The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of Dima's friends. Dima himself isn't considered to be his own friend. The second line contains *n* positive integers, not exceeding 5, representing, how many fingers the Dima's friends will show.
The numbers in the lines are separated by a single space. | In a single line print the answer to the problem. | [
"1\n1\n",
"1\n2\n",
"2\n3 5\n"
] | [
"3\n",
"2\n",
"3\n"
] | In the first sample Dima can show 1, 3 or 5 fingers. If Dima shows 3 fingers, then the counting-out will go like that: Dima, his friend, Dima, his friend.
In the second sample Dima can show 2 or 4 fingers. | 500 | [
{
"input": "1\n1",
"output": "3"
},
{
"input": "1\n2",
"output": "2"
},
{
"input": "2\n3 5",
"output": "3"
},
{
"input": "2\n3 5",
"output": "3"
},
{
"input": "1\n5",
"output": "3"
},
{
"input": "5\n4 4 3 5 1",
"output": "4"
},
{
"input": "... | 1,629,347,493 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 0 | 154 | 20,172,800 | n,a=int(input()),list(map(int,input().split()))
temp=sum(a)-sum(a)//(n+1)*(n+1)
if temp==0:print(temp+2)
else:print(1) | Title: Dima and Friends
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Dima and his friends have been playing hide and seek at Dima's place all night. As a result, Dima's place got messy. In the morning they decided that they need to clean the place.
To decide who exactly would clean the apartment, the friends want to play a counting-out game. First, all the guys stand in a circle, and then each of them shows some number of fingers on one hand (one to five), and then the boys count in a circle, starting from Dima, the number of people, respective to the total number of fingers shown. The person on who the countdown stops will clean the apartment.
For example, if Dima and one of his friends played hide and seek, and 7 fingers were shown during the counting-out, then Dima would clean the place. If there were 2 or say, 8 fingers shown, then his friend would clean the place.
Dima knows how many fingers each of his friends will show during the counting-out. Now he is interested in the number of ways to show some number of fingers on one hand (one to five), so that he did not have to clean the place. Help Dima.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of Dima's friends. Dima himself isn't considered to be his own friend. The second line contains *n* positive integers, not exceeding 5, representing, how many fingers the Dima's friends will show.
The numbers in the lines are separated by a single space.
Output Specification:
In a single line print the answer to the problem.
Demo Input:
['1\n1\n', '1\n2\n', '2\n3 5\n']
Demo Output:
['3\n', '2\n', '3\n']
Note:
In the first sample Dima can show 1, 3 or 5 fingers. If Dima shows 3 fingers, then the counting-out will go like that: Dima, his friend, Dima, his friend.
In the second sample Dima can show 2 or 4 fingers. | ```python
n,a=int(input()),list(map(int,input().split()))
temp=sum(a)-sum(a)//(n+1)*(n+1)
if temp==0:print(temp+2)
else:print(1)
``` | 0 | |
460 | A | Vasya and Socks | PROGRAMMING | 900 | [
"brute force",
"implementation",
"math"
] | null | null | Vasya has *n* pairs of socks. In the morning of each day Vasya has to put on a pair of socks before he goes to school. When he comes home in the evening, Vasya takes off the used socks and throws them away. Every *m*-th day (at days with numbers *m*,<=2*m*,<=3*m*,<=...) mom buys a pair of socks to Vasya. She does it late in the evening, so that Vasya cannot put on a new pair of socks before the next day. How many consecutive days pass until Vasya runs out of socks? | The single line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100; 2<=≤<=*m*<=≤<=100), separated by a space. | Print a single integer — the answer to the problem. | [
"2 2\n",
"9 3\n"
] | [
"3\n",
"13\n"
] | In the first sample Vasya spends the first two days wearing the socks that he had initially. Then on day three he puts on the socks that were bought on day two.
In the second sample Vasya spends the first nine days wearing the socks that he had initially. Then he spends three days wearing the socks that were bought on the third, sixth and ninth days. Than he spends another day wearing the socks that were bought on the twelfth day. | 500 | [
{
"input": "2 2",
"output": "3"
},
{
"input": "9 3",
"output": "13"
},
{
"input": "1 2",
"output": "1"
},
{
"input": "2 3",
"output": "2"
},
{
"input": "1 99",
"output": "1"
},
{
"input": "4 4",
"output": "5"
},
{
"input": "10 2",
"outp... | 1,663,752,998 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 0 | a,b=map(int,input().split())
n=a*b
if n%2!=0:
n+=1
res=n//2-1
print(res)
| Title: Vasya and Socks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya has *n* pairs of socks. In the morning of each day Vasya has to put on a pair of socks before he goes to school. When he comes home in the evening, Vasya takes off the used socks and throws them away. Every *m*-th day (at days with numbers *m*,<=2*m*,<=3*m*,<=...) mom buys a pair of socks to Vasya. She does it late in the evening, so that Vasya cannot put on a new pair of socks before the next day. How many consecutive days pass until Vasya runs out of socks?
Input Specification:
The single line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100; 2<=≤<=*m*<=≤<=100), separated by a space.
Output Specification:
Print a single integer — the answer to the problem.
Demo Input:
['2 2\n', '9 3\n']
Demo Output:
['3\n', '13\n']
Note:
In the first sample Vasya spends the first two days wearing the socks that he had initially. Then on day three he puts on the socks that were bought on day two.
In the second sample Vasya spends the first nine days wearing the socks that he had initially. Then he spends three days wearing the socks that were bought on the third, sixth and ninth days. Than he spends another day wearing the socks that were bought on the twelfth day. | ```python
a,b=map(int,input().split())
n=a*b
if n%2!=0:
n+=1
res=n//2-1
print(res)
``` | 0 | |
32 | B | Borze | PROGRAMMING | 800 | [
"expression parsing",
"implementation"
] | B. Borze | 2 | 256 | Ternary numeric notation is quite popular in Berland. To telegraph the ternary number the Borze alphabet is used. Digit 0 is transmitted as «.», 1 as «-.» and 2 as «--». You are to decode the Borze code, i.e. to find out the ternary number given its representation in Borze alphabet. | The first line contains a number in Borze code. The length of the string is between 1 and 200 characters. It's guaranteed that the given string is a valid Borze code of some ternary number (this number can have leading zeroes). | Output the decoded ternary number. It can have leading zeroes. | [
".-.--\n",
"--.\n",
"-..-.--\n"
] | [
"012",
"20",
"1012"
] | none | 1,000 | [
{
"input": ".-.--",
"output": "012"
},
{
"input": "--.",
"output": "20"
},
{
"input": "-..-.--",
"output": "1012"
},
{
"input": "---..",
"output": "210"
},
{
"input": "..--.---..",
"output": "0020210"
},
{
"input": "-.....----.",
"output": "1000022... | 1,680,851,575 | 2,147,483,647 | Python 3 | OK | TESTS | 30 | 92 | 0 | n = input()
m = ""
k = ""
for i in n:
if i == "."and len(m) == 0:
k += "0"
else:
m += i
if len(m) == 2:
if m == "-.":
k += "1"
m = ""
else:
k += "2"
m = ""
print(k) | Title: Borze
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Ternary numeric notation is quite popular in Berland. To telegraph the ternary number the Borze alphabet is used. Digit 0 is transmitted as «.», 1 as «-.» and 2 as «--». You are to decode the Borze code, i.e. to find out the ternary number given its representation in Borze alphabet.
Input Specification:
The first line contains a number in Borze code. The length of the string is between 1 and 200 characters. It's guaranteed that the given string is a valid Borze code of some ternary number (this number can have leading zeroes).
Output Specification:
Output the decoded ternary number. It can have leading zeroes.
Demo Input:
['.-.--\n', '--.\n', '-..-.--\n']
Demo Output:
['012', '20', '1012']
Note:
none | ```python
n = input()
m = ""
k = ""
for i in n:
if i == "."and len(m) == 0:
k += "0"
else:
m += i
if len(m) == 2:
if m == "-.":
k += "1"
m = ""
else:
k += "2"
m = ""
print(k)
``` | 3.977 |
660 | C | Hard Process | PROGRAMMING | 1,600 | [
"binary search",
"dp",
"two pointers"
] | null | null | You are given an array *a* with *n* elements. Each element of *a* is either 0 or 1.
Let's denote the length of the longest subsegment of consecutive elements in *a*, consisting of only numbers one, as *f*(*a*). You can change no more than *k* zeroes to ones to maximize *f*(*a*). | The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=3·105,<=0<=≤<=*k*<=≤<=*n*) — the number of elements in *a* and the parameter *k*.
The second line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=1) — the elements of *a*. | On the first line print a non-negative integer *z* — the maximal value of *f*(*a*) after no more than *k* changes of zeroes to ones.
On the second line print *n* integers *a**j* — the elements of the array *a* after the changes.
If there are multiple answers, you can print any one of them. | [
"7 1\n1 0 0 1 1 0 1\n",
"10 2\n1 0 0 1 0 1 0 1 0 1\n"
] | [
"4\n1 0 0 1 1 1 1\n",
"5\n1 0 0 1 1 1 1 1 0 1\n"
] | none | 0 | [
{
"input": "7 1\n1 0 0 1 1 0 1",
"output": "4\n1 0 0 1 1 1 1"
},
{
"input": "10 2\n1 0 0 1 0 1 0 1 0 1",
"output": "5\n1 0 0 1 1 1 1 1 0 1"
},
{
"input": "1 0\n0",
"output": "0\n0"
},
{
"input": "1 0\n0",
"output": "0\n0"
},
{
"input": "7 0\n0 1 0 0 0 1 0",
"o... | 1,691,808,985 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 31 | 0 | def maximize_consecutive_ones(ar, n, k):
left, right = 0, 0
max_length = 0
zeros_count = 0
while right < n:
if ar[right] == 0:
zeros_count += 1
while zeros_count > k:
if ar[left] == 0:
zeros_count -= 1
left += 1
max_length = max(max_length, right - left + 1)
right += 1
return max_length
def main():
n, k = map(int, input().split())
ar = list(map(int, input().split()))
result = maximize_consecutive_ones(ar, n, k)
print(result)
# Modify the array to maximize f(a)
left, right = 0, 0
zeros_count = 0
while right < n:
if ar[right] == 0:
zeros_count += 1
while zeros_count > k:
if ar[left] == 0:
zeros_count -= 1
left += 1
if right - left + 1 == result:
for i in range(left, right + 1):
ar[i] = 1
break
right += 1
print(*ar)
if _name_ == "_main_":
main()
| Title: Hard Process
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given an array *a* with *n* elements. Each element of *a* is either 0 or 1.
Let's denote the length of the longest subsegment of consecutive elements in *a*, consisting of only numbers one, as *f*(*a*). You can change no more than *k* zeroes to ones to maximize *f*(*a*).
Input Specification:
The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=3·105,<=0<=≤<=*k*<=≤<=*n*) — the number of elements in *a* and the parameter *k*.
The second line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=1) — the elements of *a*.
Output Specification:
On the first line print a non-negative integer *z* — the maximal value of *f*(*a*) after no more than *k* changes of zeroes to ones.
On the second line print *n* integers *a**j* — the elements of the array *a* after the changes.
If there are multiple answers, you can print any one of them.
Demo Input:
['7 1\n1 0 0 1 1 0 1\n', '10 2\n1 0 0 1 0 1 0 1 0 1\n']
Demo Output:
['4\n1 0 0 1 1 1 1\n', '5\n1 0 0 1 1 1 1 1 0 1\n']
Note:
none | ```python
def maximize_consecutive_ones(ar, n, k):
left, right = 0, 0
max_length = 0
zeros_count = 0
while right < n:
if ar[right] == 0:
zeros_count += 1
while zeros_count > k:
if ar[left] == 0:
zeros_count -= 1
left += 1
max_length = max(max_length, right - left + 1)
right += 1
return max_length
def main():
n, k = map(int, input().split())
ar = list(map(int, input().split()))
result = maximize_consecutive_ones(ar, n, k)
print(result)
# Modify the array to maximize f(a)
left, right = 0, 0
zeros_count = 0
while right < n:
if ar[right] == 0:
zeros_count += 1
while zeros_count > k:
if ar[left] == 0:
zeros_count -= 1
left += 1
if right - left + 1 == result:
for i in range(left, right + 1):
ar[i] = 1
break
right += 1
print(*ar)
if _name_ == "_main_":
main()
``` | -1 | |
53 | C | Little Frog | PROGRAMMING | 1,200 | [
"constructive algorithms"
] | C. Little Frog | 2 | 256 | Once upon a time a little frog whose name was Vasya decided to travel around his home swamp. Overall there are *n* mounds on the swamp, located on one line. The distance between the neighboring mounds is one meter. Vasya wants to visit all the mounds in one day; besides, he wants to visit each one exactly once. For that he makes a route plan, to decide the order in which to jump on the mounds. Vasya can pick any mound as the first one. He thinks it boring to jump two times at the same distance. That's why he wants any two jumps on his route to have different lengths. Help Vasya the Frog and make the plan for him. | The single line contains a number *n* (1<=≤<=*n*<=≤<=104) which is the number of mounds. | Print *n* integers *p**i* (1<=≤<=*p**i*<=≤<=*n*) which are the frog's route plan.
- All the *p**i*'s should be mutually different. - All the |*p**i*–*p**i*<=+<=1|'s should be mutually different (1<=≤<=*i*<=≤<=*n*<=-<=1).
If there are several solutions, output any. | [
"2\n",
"3\n"
] | [
"1 2 ",
"1 3 2 "
] | none | 1,500 | [
{
"input": "2",
"output": "1 2 "
},
{
"input": "3",
"output": "1 3 2 "
},
{
"input": "4",
"output": "1 4 2 3 "
},
{
"input": "5",
"output": "1 5 2 4 3 "
},
{
"input": "6",
"output": "1 6 2 5 3 4 "
},
{
"input": "1",
"output": "1 "
},
{
"inp... | 1,609,922,344 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 6 | 2,000 | 307,200 | mounds = int(input())
m = list(range(1,mounds+1))
m1 = [1]
m.remove(1)
for i in range(1,len(m)+1):
if i%2==1:
m1.append(max(m))
m.remove(max(m))
else:
m1.append(min(m))
m.remove(min(m))
print(' '.join(map(str,m1)))
| Title: Little Frog
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Once upon a time a little frog whose name was Vasya decided to travel around his home swamp. Overall there are *n* mounds on the swamp, located on one line. The distance between the neighboring mounds is one meter. Vasya wants to visit all the mounds in one day; besides, he wants to visit each one exactly once. For that he makes a route plan, to decide the order in which to jump on the mounds. Vasya can pick any mound as the first one. He thinks it boring to jump two times at the same distance. That's why he wants any two jumps on his route to have different lengths. Help Vasya the Frog and make the plan for him.
Input Specification:
The single line contains a number *n* (1<=≤<=*n*<=≤<=104) which is the number of mounds.
Output Specification:
Print *n* integers *p**i* (1<=≤<=*p**i*<=≤<=*n*) which are the frog's route plan.
- All the *p**i*'s should be mutually different. - All the |*p**i*–*p**i*<=+<=1|'s should be mutually different (1<=≤<=*i*<=≤<=*n*<=-<=1).
If there are several solutions, output any.
Demo Input:
['2\n', '3\n']
Demo Output:
['1 2 ', '1 3 2 ']
Note:
none | ```python
mounds = int(input())
m = list(range(1,mounds+1))
m1 = [1]
m.remove(1)
for i in range(1,len(m)+1):
if i%2==1:
m1.append(max(m))
m.remove(max(m))
else:
m1.append(min(m))
m.remove(min(m))
print(' '.join(map(str,m1)))
``` | 0 |
165 | A | Supercentral Point | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | One day Vasya painted a Cartesian coordinate system on a piece of paper and marked some set of points (*x*1,<=*y*1),<=(*x*2,<=*y*2),<=...,<=(*x**n*,<=*y**n*). Let's define neighbors for some fixed point from the given set (*x*,<=*y*):
- point (*x*',<=*y*') is (*x*,<=*y*)'s right neighbor, if *x*'<=><=*x* and *y*'<==<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s left neighbor, if *x*'<=<<=*x* and *y*'<==<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s lower neighbor, if *x*'<==<=*x* and *y*'<=<<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s upper neighbor, if *x*'<==<=*x* and *y*'<=><=*y*
We'll consider point (*x*,<=*y*) from the given set supercentral, if it has at least one upper, at least one lower, at least one left and at least one right neighbor among this set's points.
Vasya marked quite many points on the paper. Analyzing the picture manually is rather a challenge, so Vasya asked you to help him. Your task is to find the number of supercentral points in the given set. | The first input line contains the only integer *n* (1<=≤<=*n*<=≤<=200) — the number of points in the given set. Next *n* lines contain the coordinates of the points written as "*x* *y*" (without the quotes) (|*x*|,<=|*y*|<=≤<=1000), all coordinates are integers. The numbers in the line are separated by exactly one space. It is guaranteed that all points are different. | Print the only number — the number of supercentral points of the given set. | [
"8\n1 1\n4 2\n3 1\n1 2\n0 2\n0 1\n1 0\n1 3\n",
"5\n0 0\n0 1\n1 0\n0 -1\n-1 0\n"
] | [
"2\n",
"1\n"
] | In the first sample the supercentral points are only points (1, 1) and (1, 2).
In the second sample there is one supercental point — point (0, 0). | 500 | [
{
"input": "8\n1 1\n4 2\n3 1\n1 2\n0 2\n0 1\n1 0\n1 3",
"output": "2"
},
{
"input": "5\n0 0\n0 1\n1 0\n0 -1\n-1 0",
"output": "1"
},
{
"input": "9\n-565 -752\n-184 723\n-184 -752\n-184 1\n950 723\n-565 723\n950 -752\n950 1\n-565 1",
"output": "1"
},
{
"input": "25\n-651 897\n... | 1,620,315,522 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 92 | 6,963,200 | n = int(input())
l_c = list()
for _ in range(n):
l_c.append(list(map(int, input().split())))
t = 0
for i in range(n):
s_i = set()
for j in range(n):
if i == j:
pass
elif l_c[i][0] == l_c[j][0]:
if l_c[i][1] > l_c[j][1]:
s_i.add("D")
elif l_c[i][1] < l_c[j][1]:
s_i.add("U")
elif l_c[i][1] == l_c[j][1]:
if l_c[i][0] > l_c[j][0]:
s_i.add("L")
elif l_c[i][0] < l_c[j][0]:
s_i.add("R")
if len(s_i) == 4:
t += 1
| Title: Supercentral Point
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day Vasya painted a Cartesian coordinate system on a piece of paper and marked some set of points (*x*1,<=*y*1),<=(*x*2,<=*y*2),<=...,<=(*x**n*,<=*y**n*). Let's define neighbors for some fixed point from the given set (*x*,<=*y*):
- point (*x*',<=*y*') is (*x*,<=*y*)'s right neighbor, if *x*'<=><=*x* and *y*'<==<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s left neighbor, if *x*'<=<<=*x* and *y*'<==<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s lower neighbor, if *x*'<==<=*x* and *y*'<=<<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s upper neighbor, if *x*'<==<=*x* and *y*'<=><=*y*
We'll consider point (*x*,<=*y*) from the given set supercentral, if it has at least one upper, at least one lower, at least one left and at least one right neighbor among this set's points.
Vasya marked quite many points on the paper. Analyzing the picture manually is rather a challenge, so Vasya asked you to help him. Your task is to find the number of supercentral points in the given set.
Input Specification:
The first input line contains the only integer *n* (1<=≤<=*n*<=≤<=200) — the number of points in the given set. Next *n* lines contain the coordinates of the points written as "*x* *y*" (without the quotes) (|*x*|,<=|*y*|<=≤<=1000), all coordinates are integers. The numbers in the line are separated by exactly one space. It is guaranteed that all points are different.
Output Specification:
Print the only number — the number of supercentral points of the given set.
Demo Input:
['8\n1 1\n4 2\n3 1\n1 2\n0 2\n0 1\n1 0\n1 3\n', '5\n0 0\n0 1\n1 0\n0 -1\n-1 0\n']
Demo Output:
['2\n', '1\n']
Note:
In the first sample the supercentral points are only points (1, 1) and (1, 2).
In the second sample there is one supercental point — point (0, 0). | ```python
n = int(input())
l_c = list()
for _ in range(n):
l_c.append(list(map(int, input().split())))
t = 0
for i in range(n):
s_i = set()
for j in range(n):
if i == j:
pass
elif l_c[i][0] == l_c[j][0]:
if l_c[i][1] > l_c[j][1]:
s_i.add("D")
elif l_c[i][1] < l_c[j][1]:
s_i.add("U")
elif l_c[i][1] == l_c[j][1]:
if l_c[i][0] > l_c[j][0]:
s_i.add("L")
elif l_c[i][0] < l_c[j][0]:
s_i.add("R")
if len(s_i) == 4:
t += 1
``` | 0 | |
1 | A | Theatre Square | PROGRAMMING | 1,000 | [
"math"
] | A. Theatre Square | 1 | 256 | Theatre Square in the capital city of Berland has a rectangular shape with the size *n*<=×<=*m* meters. On the occasion of the city's anniversary, a decision was taken to pave the Square with square granite flagstones. Each flagstone is of the size *a*<=×<=*a*.
What is the least number of flagstones needed to pave the Square? It's allowed to cover the surface larger than the Theatre Square, but the Square has to be covered. It's not allowed to break the flagstones. The sides of flagstones should be parallel to the sides of the Square. | The input contains three positive integer numbers in the first line: *n*,<=<=*m* and *a* (1<=≤<=<=*n*,<=*m*,<=*a*<=≤<=109). | Write the needed number of flagstones. | [
"6 6 4\n"
] | [
"4\n"
] | none | 0 | [
{
"input": "6 6 4",
"output": "4"
},
{
"input": "1 1 1",
"output": "1"
},
{
"input": "2 1 1",
"output": "2"
},
{
"input": "1 2 1",
"output": "2"
},
{
"input": "2 2 1",
"output": "4"
},
{
"input": "2 1 2",
"output": "1"
},
{
"input": "1 1 3"... | 1,673,468,514 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 0 | n=input()
f = n.split(" ")
n=int(f[0])
m=int(f[1])
a=int(f[2])
if n>m:
print(int((n*a)/m))
else:
print(int((m*a)/a))
| Title: Theatre Square
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Theatre Square in the capital city of Berland has a rectangular shape with the size *n*<=×<=*m* meters. On the occasion of the city's anniversary, a decision was taken to pave the Square with square granite flagstones. Each flagstone is of the size *a*<=×<=*a*.
What is the least number of flagstones needed to pave the Square? It's allowed to cover the surface larger than the Theatre Square, but the Square has to be covered. It's not allowed to break the flagstones. The sides of flagstones should be parallel to the sides of the Square.
Input Specification:
The input contains three positive integer numbers in the first line: *n*,<=<=*m* and *a* (1<=≤<=<=*n*,<=*m*,<=*a*<=≤<=109).
Output Specification:
Write the needed number of flagstones.
Demo Input:
['6 6 4\n']
Demo Output:
['4\n']
Note:
none | ```python
n=input()
f = n.split(" ")
n=int(f[0])
m=int(f[1])
a=int(f[2])
if n>m:
print(int((n*a)/m))
else:
print(int((m*a)/a))
``` | 0 |
604 | B | More Cowbell | PROGRAMMING | 1,400 | [
"binary search",
"greedy"
] | null | null | Kevin Sun wants to move his precious collection of *n* cowbells from Naperthrill to Exeter, where there is actually grass instead of corn. Before moving, he must pack his cowbells into *k* boxes of a fixed size. In order to keep his collection safe during transportation, he won't place more than two cowbells into a single box. Since Kevin wishes to minimize expenses, he is curious about the smallest size box he can use to pack his entire collection.
Kevin is a meticulous cowbell collector and knows that the size of his *i*-th (1<=≤<=*i*<=≤<=*n*) cowbell is an integer *s**i*. In fact, he keeps his cowbells sorted by size, so *s**i*<=-<=1<=≤<=*s**i* for any *i*<=><=1. Also an expert packer, Kevin can fit one or two cowbells into a box of size *s* if and only if the sum of their sizes does not exceed *s*. Given this information, help Kevin determine the smallest *s* for which it is possible to put all of his cowbells into *k* boxes of size *s*. | The first line of the input contains two space-separated integers *n* and *k* (1<=≤<=*n*<=≤<=2·*k*<=≤<=100<=000), denoting the number of cowbells and the number of boxes, respectively.
The next line contains *n* space-separated integers *s*1,<=*s*2,<=...,<=*s**n* (1<=≤<=*s*1<=≤<=*s*2<=≤<=...<=≤<=*s**n*<=≤<=1<=000<=000), the sizes of Kevin's cowbells. It is guaranteed that the sizes *s**i* are given in non-decreasing order. | Print a single integer, the smallest *s* for which it is possible for Kevin to put all of his cowbells into *k* boxes of size *s*. | [
"2 1\n2 5\n",
"4 3\n2 3 5 9\n",
"3 2\n3 5 7\n"
] | [
"7\n",
"9\n",
"8\n"
] | In the first sample, Kevin must pack his two cowbells into the same box.
In the second sample, Kevin can pack together the following sets of cowbells: {2, 3}, {5} and {9}.
In the third sample, the optimal solution is {3, 5} and {7}. | 1,000 | [
{
"input": "2 1\n2 5",
"output": "7"
},
{
"input": "4 3\n2 3 5 9",
"output": "9"
},
{
"input": "3 2\n3 5 7",
"output": "8"
},
{
"input": "20 11\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1",
"output": "2"
},
{
"input": "10 10\n3 15 31 61 63 63 68 94 98 100",
"outp... | 1,660,937,061 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 9 | 1,575 | 6,553,600 | n, k = list(map(int, input().split()))
sizes = list(map(int, input().split()))
left, right = max(sizes), sum(sizes)
while left < right:
mid = (left + right) // 2
counter, valid = 0, True
i = 0
while i < len(sizes) - 1:
if sizes[i] + sizes[i + 1] <= mid:
i += 2
else:
i += 1
counter += 1
if i == len(sizes) - 1:
counter += 1
if counter <= k:
right = mid
else:
left = mid + 1
print(right) | Title: More Cowbell
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Kevin Sun wants to move his precious collection of *n* cowbells from Naperthrill to Exeter, where there is actually grass instead of corn. Before moving, he must pack his cowbells into *k* boxes of a fixed size. In order to keep his collection safe during transportation, he won't place more than two cowbells into a single box. Since Kevin wishes to minimize expenses, he is curious about the smallest size box he can use to pack his entire collection.
Kevin is a meticulous cowbell collector and knows that the size of his *i*-th (1<=≤<=*i*<=≤<=*n*) cowbell is an integer *s**i*. In fact, he keeps his cowbells sorted by size, so *s**i*<=-<=1<=≤<=*s**i* for any *i*<=><=1. Also an expert packer, Kevin can fit one or two cowbells into a box of size *s* if and only if the sum of their sizes does not exceed *s*. Given this information, help Kevin determine the smallest *s* for which it is possible to put all of his cowbells into *k* boxes of size *s*.
Input Specification:
The first line of the input contains two space-separated integers *n* and *k* (1<=≤<=*n*<=≤<=2·*k*<=≤<=100<=000), denoting the number of cowbells and the number of boxes, respectively.
The next line contains *n* space-separated integers *s*1,<=*s*2,<=...,<=*s**n* (1<=≤<=*s*1<=≤<=*s*2<=≤<=...<=≤<=*s**n*<=≤<=1<=000<=000), the sizes of Kevin's cowbells. It is guaranteed that the sizes *s**i* are given in non-decreasing order.
Output Specification:
Print a single integer, the smallest *s* for which it is possible for Kevin to put all of his cowbells into *k* boxes of size *s*.
Demo Input:
['2 1\n2 5\n', '4 3\n2 3 5 9\n', '3 2\n3 5 7\n']
Demo Output:
['7\n', '9\n', '8\n']
Note:
In the first sample, Kevin must pack his two cowbells into the same box.
In the second sample, Kevin can pack together the following sets of cowbells: {2, 3}, {5} and {9}.
In the third sample, the optimal solution is {3, 5} and {7}. | ```python
n, k = list(map(int, input().split()))
sizes = list(map(int, input().split()))
left, right = max(sizes), sum(sizes)
while left < right:
mid = (left + right) // 2
counter, valid = 0, True
i = 0
while i < len(sizes) - 1:
if sizes[i] + sizes[i + 1] <= mid:
i += 2
else:
i += 1
counter += 1
if i == len(sizes) - 1:
counter += 1
if counter <= k:
right = mid
else:
left = mid + 1
print(right)
``` | 0 | |
20 | C | Dijkstra? | PROGRAMMING | 1,900 | [
"graphs",
"shortest paths"
] | C. Dijkstra? | 1 | 64 | You are given a weighted undirected graph. The vertices are enumerated from 1 to *n*. Your task is to find the shortest path between the vertex 1 and the vertex *n*. | The first line contains two integers *n* and *m* (2<=≤<=*n*<=≤<=105,<=0<=≤<=*m*<=≤<=105), where *n* is the number of vertices and *m* is the number of edges. Following *m* lines contain one edge each in form *a**i*, *b**i* and *w**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*,<=1<=≤<=*w**i*<=≤<=106), where *a**i*,<=*b**i* are edge endpoints and *w**i* is the length of the edge.
It is possible that the graph has loops and multiple edges between pair of vertices. | Write the only integer -1 in case of no path. Write the shortest path in opposite case. If there are many solutions, print any of them. | [
"5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1\n",
"5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1\n"
] | [
"1 4 3 5 ",
"1 4 3 5 "
] | none | 1,500 | [
{
"input": "5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1",
"output": "1 4 3 5 "
},
{
"input": "5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1",
"output": "1 4 3 5 "
},
{
"input": "2 1\n1 2 1",
"output": "1 2 "
},
{
"input": "3 1\n1 2 1",
"output": "-1"
},
{
"input... | 1,597,822,809 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 77 | 204,800 | #version 2 with priority queue
class node:
def __init__(self,data):
self.next = None
self.data = data
class Priority_queue:
def __init__(self):
self.head = None
def dequeue(self):
temp = self.head
data = temp.data
if temp.next:
self.head = temp.next
del temp
return data[0],data[1]
else:
self.head = None
del temp
return data[0],data[1]
def enqueue(self,data):
new_node = node(data)
if self.head:
temp = self.head
prev = None
while temp:
if temp.data[0]>data[0]:
break
prev = temp
temp = temp.next
else:
prev.next = new_node
return
if temp == self.head:
self.head = new_node
new_node.next = temp
return
else:
prev.next = new_node
new_node.next = temp
return
else:
self.head = new_node
self.tail = new_node
def dijkstra(k,graph,visited):
n = len(visited)
parent = [-1]*n #creating an array just to track the path
infinite = float('inf') #creating a variable which gives reference to infinite
dist = [infinite]*(n) #creating an distance list & assigning to infinite
ind_hash = {}
for i in range(n):
ind_hash.update({visited[i]:i})
que = Priority_queue()
que.enqueue((0,ind_hash[1]))
while que.head and visited[ind_hash[k]]:
min_dist,ind = que.dequeue()
if visited[ind] != False:
i = visited[ind]
visited[ind] = False #checking that the node with the minimum distance is not visited
for edge in graph[i]:
vind = ind_hash[edge[0]]
if visited[vind]:
di = min_dist + edge[1]
if di<dist[vind]:
que.enqueue((di,vind))
parent[vind] = ind
dist[vind] = di
return parent
def show_path(path,j):
if j == -1:
return
show_path(path,path[j])
print(vertex[j],end=" ")
if __name__ == "__main__":
graph = defaultdict(list)
z,m = map(int,input().split())
for _ in range(m):
u,v,w = map(int,input().split())
if u!=v:
if graph[u]:
for vw in graph[u]:
if vw[0] == v:
if vw[1] > w:
vw[1] = w
break
break
else:
graph[u].append([v,w])
else:
graph[u].append([v,w])
if graph[v]:
for vw in graph[v]:
if vw[0] == u:
if vw[1] > w:
vw[1] = w
break
break
else:
graph[v].append([u,w])
else:
graph[v].append([u,w])
vertex = list(graph.keys())
if (z) not in vertex:
print(-1)
else:
pa = dijkstra(z,graph,vertex)
vertex = list(graph.keys())
l = vertex.index(z)
if pa[l]==-1:
print(-1)
else:
show_path(pa,l) | Title: Dijkstra?
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
You are given a weighted undirected graph. The vertices are enumerated from 1 to *n*. Your task is to find the shortest path between the vertex 1 and the vertex *n*.
Input Specification:
The first line contains two integers *n* and *m* (2<=≤<=*n*<=≤<=105,<=0<=≤<=*m*<=≤<=105), where *n* is the number of vertices and *m* is the number of edges. Following *m* lines contain one edge each in form *a**i*, *b**i* and *w**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*,<=1<=≤<=*w**i*<=≤<=106), where *a**i*,<=*b**i* are edge endpoints and *w**i* is the length of the edge.
It is possible that the graph has loops and multiple edges between pair of vertices.
Output Specification:
Write the only integer -1 in case of no path. Write the shortest path in opposite case. If there are many solutions, print any of them.
Demo Input:
['5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1\n', '5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1\n']
Demo Output:
['1 4 3 5 ', '1 4 3 5 ']
Note:
none | ```python
#version 2 with priority queue
class node:
def __init__(self,data):
self.next = None
self.data = data
class Priority_queue:
def __init__(self):
self.head = None
def dequeue(self):
temp = self.head
data = temp.data
if temp.next:
self.head = temp.next
del temp
return data[0],data[1]
else:
self.head = None
del temp
return data[0],data[1]
def enqueue(self,data):
new_node = node(data)
if self.head:
temp = self.head
prev = None
while temp:
if temp.data[0]>data[0]:
break
prev = temp
temp = temp.next
else:
prev.next = new_node
return
if temp == self.head:
self.head = new_node
new_node.next = temp
return
else:
prev.next = new_node
new_node.next = temp
return
else:
self.head = new_node
self.tail = new_node
def dijkstra(k,graph,visited):
n = len(visited)
parent = [-1]*n #creating an array just to track the path
infinite = float('inf') #creating a variable which gives reference to infinite
dist = [infinite]*(n) #creating an distance list & assigning to infinite
ind_hash = {}
for i in range(n):
ind_hash.update({visited[i]:i})
que = Priority_queue()
que.enqueue((0,ind_hash[1]))
while que.head and visited[ind_hash[k]]:
min_dist,ind = que.dequeue()
if visited[ind] != False:
i = visited[ind]
visited[ind] = False #checking that the node with the minimum distance is not visited
for edge in graph[i]:
vind = ind_hash[edge[0]]
if visited[vind]:
di = min_dist + edge[1]
if di<dist[vind]:
que.enqueue((di,vind))
parent[vind] = ind
dist[vind] = di
return parent
def show_path(path,j):
if j == -1:
return
show_path(path,path[j])
print(vertex[j],end=" ")
if __name__ == "__main__":
graph = defaultdict(list)
z,m = map(int,input().split())
for _ in range(m):
u,v,w = map(int,input().split())
if u!=v:
if graph[u]:
for vw in graph[u]:
if vw[0] == v:
if vw[1] > w:
vw[1] = w
break
break
else:
graph[u].append([v,w])
else:
graph[u].append([v,w])
if graph[v]:
for vw in graph[v]:
if vw[0] == u:
if vw[1] > w:
vw[1] = w
break
break
else:
graph[v].append([u,w])
else:
graph[v].append([u,w])
vertex = list(graph.keys())
if (z) not in vertex:
print(-1)
else:
pa = dijkstra(z,graph,vertex)
vertex = list(graph.keys())
l = vertex.index(z)
if pa[l]==-1:
print(-1)
else:
show_path(pa,l)
``` | -1 |
182 | B | Vasya's Calendar | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | Vasya lives in a strange world. The year has *n* months and the *i*-th month has *a**i* days. Vasya got a New Year present — the clock that shows not only the time, but also the date.
The clock's face can display any number from 1 to *d*. It is guaranteed that *a**i*<=≤<=*d* for all *i* from 1 to *n*. The clock does not keep information about the current month, so when a new day comes, it simply increases the current day number by one. The clock cannot display number *d*<=+<=1, so after day number *d* it shows day 1 (the current day counter resets). The mechanism of the clock allows you to increase the day number by one manually. When you execute this operation, day *d* is also followed by day 1.
Vasya begins each day checking the day number on the clock. If the day number on the clock does not match the actual day number in the current month, then Vasya manually increases it by one. Vasya is persistent and repeats this operation until the day number on the clock matches the actual number of the current day in the current month.
A year passed and Vasya wonders how many times he manually increased the day number by one, from the first day of the first month to the last day of the *n*-th month inclusive, considering that on the first day of the first month the clock display showed day 1. | The first line contains the single number *d* — the maximum number of the day that Vasya's clock can show (1<=≤<=*d*<=≤<=106).
The second line contains a single integer *n* — the number of months in the year (1<=≤<=*n*<=≤<=2000).
The third line contains *n* space-separated integers: *a**i* (1<=≤<=*a**i*<=≤<=*d*) — the number of days in each month in the order in which they follow, starting from the first one. | Print a single number — the number of times Vasya manually increased the day number by one throughout the last year. | [
"4\n2\n2 2\n",
"5\n3\n3 4 3\n",
"31\n12\n31 28 31 30 31 30 31 31 30 31 30 31\n"
] | [
"2\n",
"3\n",
"7\n"
] | In the first sample the situation is like this:
- Day 1. Month 1. The clock shows 1. Vasya changes nothing. - Day 2. Month 1. The clock shows 2. Vasya changes nothing. - Day 1. Month 2. The clock shows 3. Vasya manually increases the day number by 1. After that the clock shows 4. Vasya increases the day number by 1 manually. After that the clock shows 1. - Day 2. Month 2. The clock shows 2. Vasya changes nothing. | 500 | [
{
"input": "4\n2\n2 2",
"output": "2"
},
{
"input": "5\n3\n3 4 3",
"output": "3"
},
{
"input": "31\n12\n31 28 31 30 31 30 31 31 30 31 30 31",
"output": "7"
},
{
"input": "1\n1\n1",
"output": "0"
},
{
"input": "1\n2\n1 1",
"output": "0"
},
{
"input": "2... | 1,629,204,602 | 2,147,483,647 | PyPy 3 | OK | TESTS | 40 | 248 | 21,504,000 | d=int(input())
k=int(input())
ans=0
for x in map(int,input().split()[:-1]):
ans+=d-x
print(ans)
| Title: Vasya's Calendar
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya lives in a strange world. The year has *n* months and the *i*-th month has *a**i* days. Vasya got a New Year present — the clock that shows not only the time, but also the date.
The clock's face can display any number from 1 to *d*. It is guaranteed that *a**i*<=≤<=*d* for all *i* from 1 to *n*. The clock does not keep information about the current month, so when a new day comes, it simply increases the current day number by one. The clock cannot display number *d*<=+<=1, so after day number *d* it shows day 1 (the current day counter resets). The mechanism of the clock allows you to increase the day number by one manually. When you execute this operation, day *d* is also followed by day 1.
Vasya begins each day checking the day number on the clock. If the day number on the clock does not match the actual day number in the current month, then Vasya manually increases it by one. Vasya is persistent and repeats this operation until the day number on the clock matches the actual number of the current day in the current month.
A year passed and Vasya wonders how many times he manually increased the day number by one, from the first day of the first month to the last day of the *n*-th month inclusive, considering that on the first day of the first month the clock display showed day 1.
Input Specification:
The first line contains the single number *d* — the maximum number of the day that Vasya's clock can show (1<=≤<=*d*<=≤<=106).
The second line contains a single integer *n* — the number of months in the year (1<=≤<=*n*<=≤<=2000).
The third line contains *n* space-separated integers: *a**i* (1<=≤<=*a**i*<=≤<=*d*) — the number of days in each month in the order in which they follow, starting from the first one.
Output Specification:
Print a single number — the number of times Vasya manually increased the day number by one throughout the last year.
Demo Input:
['4\n2\n2 2\n', '5\n3\n3 4 3\n', '31\n12\n31 28 31 30 31 30 31 31 30 31 30 31\n']
Demo Output:
['2\n', '3\n', '7\n']
Note:
In the first sample the situation is like this:
- Day 1. Month 1. The clock shows 1. Vasya changes nothing. - Day 2. Month 1. The clock shows 2. Vasya changes nothing. - Day 1. Month 2. The clock shows 3. Vasya manually increases the day number by 1. After that the clock shows 4. Vasya increases the day number by 1 manually. After that the clock shows 1. - Day 2. Month 2. The clock shows 2. Vasya changes nothing. | ```python
d=int(input())
k=int(input())
ans=0
for x in map(int,input().split()[:-1]):
ans+=d-x
print(ans)
``` | 3 | |
61 | A | Ultra-Fast Mathematician | PROGRAMMING | 800 | [
"implementation"
] | A. Ultra-Fast Mathematician | 2 | 256 | Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate. | There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100. | Write one line — the corresponding answer. Do not omit the leading 0s. | [
"1010100\n0100101\n",
"000\n111\n",
"1110\n1010\n",
"01110\n01100\n"
] | [
"1110001\n",
"111\n",
"0100\n",
"00010\n"
] | none | 500 | [
{
"input": "1010100\n0100101",
"output": "1110001"
},
{
"input": "000\n111",
"output": "111"
},
{
"input": "1110\n1010",
"output": "0100"
},
{
"input": "01110\n01100",
"output": "00010"
},
{
"input": "011101\n000001",
"output": "011100"
},
{
"input": "... | 1,649,830,524 | 2,147,483,647 | Python 3 | OK | TESTS | 102 | 46 | 0 | numOne = (input())
numTwo = (input())
result = []
for x in range(len(numOne)):
if numOne[x] == numTwo[x]:
result.append("0")
else:
result.append("1")
print(''.join(result)) | Title: Ultra-Fast Mathematician
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate.
Input Specification:
There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100.
Output Specification:
Write one line — the corresponding answer. Do not omit the leading 0s.
Demo Input:
['1010100\n0100101\n', '000\n111\n', '1110\n1010\n', '01110\n01100\n']
Demo Output:
['1110001\n', '111\n', '0100\n', '00010\n']
Note:
none | ```python
numOne = (input())
numTwo = (input())
result = []
for x in range(len(numOne)):
if numOne[x] == numTwo[x]:
result.append("0")
else:
result.append("1")
print(''.join(result))
``` | 3.9885 |
389 | B | Fox and Cross | PROGRAMMING | 1,100 | [
"greedy",
"implementation"
] | null | null | Fox Ciel has a board with *n* rows and *n* columns. So, the board consists of *n*<=×<=*n* cells. Each cell contains either a symbol '.', or a symbol '#'.
A cross on the board is a connected set of exactly five cells of the board that looks like a cross. The picture below shows how it looks.
Ciel wants to draw several (may be zero) crosses on the board. Each cross must cover exactly five cells with symbols '#', and any cell with symbol '#' must belong to some cross. No two crosses can share a cell.
Please, tell Ciel if she can draw the crosses in the described way. | The first line contains an integer *n* (3<=≤<=*n*<=≤<=100) — the size of the board.
Each of the next *n* lines describes one row of the board. The *i*-th line describes the *i*-th row of the board and consists of *n* characters. Each character is either a symbol '.', or a symbol '#'. | Output a single line with "YES" if Ciel can draw the crosses in the described way. Otherwise output a single line with "NO". | [
"5\n.#...\n####.\n.####\n...#.\n.....\n",
"4\n####\n####\n####\n####\n",
"6\n.#....\n####..\n.####.\n.#.##.\n######\n.#..#.\n",
"6\n.#..#.\n######\n.####.\n.####.\n######\n.#..#.\n",
"3\n...\n...\n...\n"
] | [
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n"
] | In example 1, you can draw two crosses. The picture below shows what they look like.
In example 2, the board contains 16 cells with '#', but each cross contains 5. Since 16 is not a multiple of 5, so it's impossible to cover all. | 1,000 | [
{
"input": "4\n####\n####\n####\n####",
"output": "NO"
},
{
"input": "6\n.#....\n####..\n.####.\n.#.##.\n######\n.#..#.",
"output": "YES"
},
{
"input": "6\n.#..#.\n######\n.####.\n.####.\n######\n.#..#.",
"output": "NO"
},
{
"input": "5\n.....\n.#...\n####.\n.####\n...#.",
... | 1,620,655,763 | 2,147,483,647 | Python 3 | OK | TESTS | 42 | 77 | 6,963,200 | n=int(input())
l=[]
s=0
for i in range(n):
o=input()
s+=o.count("#")
l+=[list(o)]
q=[[1 for i in range(n)]for i in range(n)]
for i in range(1,n-1):
for j in range(1,n-1):
if l[i][j]=="#"and q[i][j]:
if l[i+1][j]=="#" and q[i+1][j]:
if l[i-1][j]=="#" and q[i-1][j]:
if l[i][j+1]=="#" and q[i][j+1]:
if l[i][j-1]=="#" and q[i][j-1]:
s-=5
q[i+1][j]=q[i-1][j]=q[i][j-1]=q[i][j+1]=0
print("YNEOS"[s!=0::2]) | Title: Fox and Cross
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Fox Ciel has a board with *n* rows and *n* columns. So, the board consists of *n*<=×<=*n* cells. Each cell contains either a symbol '.', or a symbol '#'.
A cross on the board is a connected set of exactly five cells of the board that looks like a cross. The picture below shows how it looks.
Ciel wants to draw several (may be zero) crosses on the board. Each cross must cover exactly five cells with symbols '#', and any cell with symbol '#' must belong to some cross. No two crosses can share a cell.
Please, tell Ciel if she can draw the crosses in the described way.
Input Specification:
The first line contains an integer *n* (3<=≤<=*n*<=≤<=100) — the size of the board.
Each of the next *n* lines describes one row of the board. The *i*-th line describes the *i*-th row of the board and consists of *n* characters. Each character is either a symbol '.', or a symbol '#'.
Output Specification:
Output a single line with "YES" if Ciel can draw the crosses in the described way. Otherwise output a single line with "NO".
Demo Input:
['5\n.#...\n####.\n.####\n...#.\n.....\n', '4\n####\n####\n####\n####\n', '6\n.#....\n####..\n.####.\n.#.##.\n######\n.#..#.\n', '6\n.#..#.\n######\n.####.\n.####.\n######\n.#..#.\n', '3\n...\n...\n...\n']
Demo Output:
['YES\n', 'NO\n', 'YES\n', 'NO\n', 'YES\n']
Note:
In example 1, you can draw two crosses. The picture below shows what they look like.
In example 2, the board contains 16 cells with '#', but each cross contains 5. Since 16 is not a multiple of 5, so it's impossible to cover all. | ```python
n=int(input())
l=[]
s=0
for i in range(n):
o=input()
s+=o.count("#")
l+=[list(o)]
q=[[1 for i in range(n)]for i in range(n)]
for i in range(1,n-1):
for j in range(1,n-1):
if l[i][j]=="#"and q[i][j]:
if l[i+1][j]=="#" and q[i+1][j]:
if l[i-1][j]=="#" and q[i-1][j]:
if l[i][j+1]=="#" and q[i][j+1]:
if l[i][j-1]=="#" and q[i][j-1]:
s-=5
q[i+1][j]=q[i-1][j]=q[i][j-1]=q[i][j+1]=0
print("YNEOS"[s!=0::2])
``` | 3 | |
486 | A | Calculating Function | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | For a positive integer *n* let's define a function *f*:
*f*(*n*)<==<=<=-<=1<=+<=2<=-<=3<=+<=..<=+<=(<=-<=1)*n**n*
Your task is to calculate *f*(*n*) for a given integer *n*. | The single line contains the positive integer *n* (1<=≤<=*n*<=≤<=1015). | Print *f*(*n*) in a single line. | [
"4\n",
"5\n"
] | [
"2\n",
"-3\n"
] | *f*(4) = - 1 + 2 - 3 + 4 = 2
*f*(5) = - 1 + 2 - 3 + 4 - 5 = - 3 | 500 | [
{
"input": "4",
"output": "2"
},
{
"input": "5",
"output": "-3"
},
{
"input": "1000000000",
"output": "500000000"
},
{
"input": "1000000001",
"output": "-500000001"
},
{
"input": "1000000000000000",
"output": "500000000000000"
},
{
"input": "100",
... | 1,692,080,694 | 2,147,483,647 | PyPy 3-64 | TIME_LIMIT_EXCEEDED | TESTS | 2 | 1,000 | 1,331,200 | """Подсчет функции"""
def main():
n = int(input())
count = 0
mul = 1
for i in range(1, n+1):
mul *= (-1)
count = count + i*mul
print(count)
if __name__ == "__main__":
main() | Title: Calculating Function
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
For a positive integer *n* let's define a function *f*:
*f*(*n*)<==<=<=-<=1<=+<=2<=-<=3<=+<=..<=+<=(<=-<=1)*n**n*
Your task is to calculate *f*(*n*) for a given integer *n*.
Input Specification:
The single line contains the positive integer *n* (1<=≤<=*n*<=≤<=1015).
Output Specification:
Print *f*(*n*) in a single line.
Demo Input:
['4\n', '5\n']
Demo Output:
['2\n', '-3\n']
Note:
*f*(4) = - 1 + 2 - 3 + 4 = 2
*f*(5) = - 1 + 2 - 3 + 4 - 5 = - 3 | ```python
"""Подсчет функции"""
def main():
n = int(input())
count = 0
mul = 1
for i in range(1, n+1):
mul *= (-1)
count = count + i*mul
print(count)
if __name__ == "__main__":
main()
``` | 0 | |
37 | A | Towers | PROGRAMMING | 1,000 | [
"sortings"
] | A. Towers | 2 | 256 | Little Vasya has received a young builder’s kit. The kit consists of several wooden bars, the lengths of all of them are known. The bars can be put one on the top of the other if their lengths are the same.
Vasya wants to construct the minimal number of towers from the bars. Help Vasya to use the bars in the best way possible. | The first line contains an integer *N* (1<=≤<=*N*<=≤<=1000) — the number of bars at Vasya’s disposal. The second line contains *N* space-separated integers *l**i* — the lengths of the bars. All the lengths are natural numbers not exceeding 1000. | In one line output two numbers — the height of the largest tower and their total number. Remember that Vasya should use all the bars. | [
"3\n1 2 3\n",
"4\n6 5 6 7\n"
] | [
"1 3\n",
"2 3\n"
] | none | 500 | [
{
"input": "3\n1 2 3",
"output": "1 3"
},
{
"input": "4\n6 5 6 7",
"output": "2 3"
},
{
"input": "4\n3 2 1 1",
"output": "2 3"
},
{
"input": "4\n1 2 3 3",
"output": "2 3"
},
{
"input": "3\n20 22 36",
"output": "1 3"
},
{
"input": "25\n47 30 94 41 45 20... | 1,655,823,669 | 2,147,483,647 | Python 3 | OK | TESTS | 61 | 92 | 0 | x = int(input())
barl = list(map(int, input().split()))
li = []
maxbar = "A"
for i in barl:
if i not in li:
if maxbar=="A":
maxbar = barl.count(i)
elif barl.count(i)>maxbar:
maxbar = barl.count(i)
li.append(i)
print(maxbar, len(li)) | Title: Towers
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Little Vasya has received a young builder’s kit. The kit consists of several wooden bars, the lengths of all of them are known. The bars can be put one on the top of the other if their lengths are the same.
Vasya wants to construct the minimal number of towers from the bars. Help Vasya to use the bars in the best way possible.
Input Specification:
The first line contains an integer *N* (1<=≤<=*N*<=≤<=1000) — the number of bars at Vasya’s disposal. The second line contains *N* space-separated integers *l**i* — the lengths of the bars. All the lengths are natural numbers not exceeding 1000.
Output Specification:
In one line output two numbers — the height of the largest tower and their total number. Remember that Vasya should use all the bars.
Demo Input:
['3\n1 2 3\n', '4\n6 5 6 7\n']
Demo Output:
['1 3\n', '2 3\n']
Note:
none | ```python
x = int(input())
barl = list(map(int, input().split()))
li = []
maxbar = "A"
for i in barl:
if i not in li:
if maxbar=="A":
maxbar = barl.count(i)
elif barl.count(i)>maxbar:
maxbar = barl.count(i)
li.append(i)
print(maxbar, len(li))
``` | 3.977 |
258 | A | Little Elephant and Bits | PROGRAMMING | 1,100 | [
"greedy",
"math"
] | null | null | The Little Elephant has an integer *a*, written in the binary notation. He wants to write this number on a piece of paper.
To make sure that the number *a* fits on the piece of paper, the Little Elephant ought to delete exactly one any digit from number *a* in the binary record. At that a new number appears. It consists of the remaining binary digits, written in the corresponding order (possible, with leading zeroes).
The Little Elephant wants the number he is going to write on the paper to be as large as possible. Help him find the maximum number that he can obtain after deleting exactly one binary digit and print it in the binary notation. | The single line contains integer *a*, written in the binary notation without leading zeroes. This number contains more than 1 and at most 105 digits. | In the single line print the number that is written without leading zeroes in the binary notation — the answer to the problem. | [
"101\n",
"110010\n"
] | [
"11\n",
"11010\n"
] | In the first sample the best strategy is to delete the second digit. That results in number 11<sub class="lower-index">2</sub> = 3<sub class="lower-index">10</sub>.
In the second sample the best strategy is to delete the third or fourth digits — that results in number 11010<sub class="lower-index">2</sub> = 26<sub class="lower-index">10</sub>. | 500 | [
{
"input": "101",
"output": "11"
},
{
"input": "110010",
"output": "11010"
},
{
"input": "10000",
"output": "1000"
},
{
"input": "1111111110",
"output": "111111111"
},
{
"input": "10100101011110101",
"output": "1100101011110101"
},
{
"input": "11101001... | 1,621,327,667 | 2,147,483,647 | PyPy 3 | TIME_LIMIT_EXCEEDED | TESTS | 16 | 2,000 | 7,782,400 | def maximus(a):
k = 0
for i in range(len(a)):
res_str = a[:i] + a[i + 1:]
t = int(res_str, 2)
if t > k:
k = t
return bin(k).replace("0b", "")
a = input()
print(maximus(a))
| Title: Little Elephant and Bits
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The Little Elephant has an integer *a*, written in the binary notation. He wants to write this number on a piece of paper.
To make sure that the number *a* fits on the piece of paper, the Little Elephant ought to delete exactly one any digit from number *a* in the binary record. At that a new number appears. It consists of the remaining binary digits, written in the corresponding order (possible, with leading zeroes).
The Little Elephant wants the number he is going to write on the paper to be as large as possible. Help him find the maximum number that he can obtain after deleting exactly one binary digit and print it in the binary notation.
Input Specification:
The single line contains integer *a*, written in the binary notation without leading zeroes. This number contains more than 1 and at most 105 digits.
Output Specification:
In the single line print the number that is written without leading zeroes in the binary notation — the answer to the problem.
Demo Input:
['101\n', '110010\n']
Demo Output:
['11\n', '11010\n']
Note:
In the first sample the best strategy is to delete the second digit. That results in number 11<sub class="lower-index">2</sub> = 3<sub class="lower-index">10</sub>.
In the second sample the best strategy is to delete the third or fourth digits — that results in number 11010<sub class="lower-index">2</sub> = 26<sub class="lower-index">10</sub>. | ```python
def maximus(a):
k = 0
for i in range(len(a)):
res_str = a[:i] + a[i + 1:]
t = int(res_str, 2)
if t > k:
k = t
return bin(k).replace("0b", "")
a = input()
print(maximus(a))
``` | 0 | |
441 | A | Valera and Antique Items | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | Valera is a collector. Once he wanted to expand his collection with exactly one antique item.
Valera knows *n* sellers of antiques, the *i*-th of them auctioned *k**i* items. Currently the auction price of the *j*-th object of the *i*-th seller is *s**ij*. Valera gets on well with each of the *n* sellers. He is perfectly sure that if he outbids the current price of one of the items in the auction (in other words, offers the seller the money that is strictly greater than the current price of the item at the auction), the seller of the object will immediately sign a contract with him.
Unfortunately, Valera has only *v* units of money. Help him to determine which of the *n* sellers he can make a deal with. | The first line contains two space-separated integers *n*,<=*v* (1<=≤<=*n*<=≤<=50; 104<=≤<=*v*<=≤<=106) — the number of sellers and the units of money the Valera has.
Then *n* lines follow. The *i*-th line first contains integer *k**i* (1<=≤<=*k**i*<=≤<=50) the number of items of the *i*-th seller. Then go *k**i* space-separated integers *s**i*1,<=*s**i*2,<=...,<=*s**ik**i* (104<=≤<=*s**ij*<=≤<=106) — the current prices of the items of the *i*-th seller. | In the first line, print integer *p* — the number of sellers with who Valera can make a deal.
In the second line print *p* space-separated integers *q*1,<=*q*2,<=...,<=*q**p* (1<=≤<=*q**i*<=≤<=*n*) — the numbers of the sellers with who Valera can make a deal. Print the numbers of the sellers in the increasing order. | [
"3 50000\n1 40000\n2 20000 60000\n3 10000 70000 190000\n",
"3 50000\n1 50000\n3 100000 120000 110000\n3 120000 110000 120000\n"
] | [
"3\n1 2 3\n",
"0\n\n"
] | In the first sample Valera can bargain with each of the sellers. He can outbid the following items: a 40000 item from the first seller, a 20000 item from the second seller, and a 10000 item from the third seller.
In the second sample Valera can not make a deal with any of the sellers, as the prices of all items in the auction too big for him. | 500 | [
{
"input": "3 50000\n1 40000\n2 20000 60000\n3 10000 70000 190000",
"output": "3\n1 2 3"
},
{
"input": "3 50000\n1 50000\n3 100000 120000 110000\n3 120000 110000 120000",
"output": "0"
},
{
"input": "2 100001\n1 895737\n1 541571",
"output": "0"
},
{
"input": "1 1000000\n1 100... | 1,643,004,827 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 2 | 109 | 1,228,800 | n,v = [int(i) for i in input().split()]
count = 0
ans = []
arr = []
for _ in range(n):
lst = [int(i) for i in input().split()]
arr.append(lst)
for lst in arr:
for j in range(1,len(lst)):
if lst[j]<v:
count+=1
ans.append(lst[0])
break
ans.sort()
print(count)
for i in ans:
print(i,end=" ") | Title: Valera and Antique Items
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Valera is a collector. Once he wanted to expand his collection with exactly one antique item.
Valera knows *n* sellers of antiques, the *i*-th of them auctioned *k**i* items. Currently the auction price of the *j*-th object of the *i*-th seller is *s**ij*. Valera gets on well with each of the *n* sellers. He is perfectly sure that if he outbids the current price of one of the items in the auction (in other words, offers the seller the money that is strictly greater than the current price of the item at the auction), the seller of the object will immediately sign a contract with him.
Unfortunately, Valera has only *v* units of money. Help him to determine which of the *n* sellers he can make a deal with.
Input Specification:
The first line contains two space-separated integers *n*,<=*v* (1<=≤<=*n*<=≤<=50; 104<=≤<=*v*<=≤<=106) — the number of sellers and the units of money the Valera has.
Then *n* lines follow. The *i*-th line first contains integer *k**i* (1<=≤<=*k**i*<=≤<=50) the number of items of the *i*-th seller. Then go *k**i* space-separated integers *s**i*1,<=*s**i*2,<=...,<=*s**ik**i* (104<=≤<=*s**ij*<=≤<=106) — the current prices of the items of the *i*-th seller.
Output Specification:
In the first line, print integer *p* — the number of sellers with who Valera can make a deal.
In the second line print *p* space-separated integers *q*1,<=*q*2,<=...,<=*q**p* (1<=≤<=*q**i*<=≤<=*n*) — the numbers of the sellers with who Valera can make a deal. Print the numbers of the sellers in the increasing order.
Demo Input:
['3 50000\n1 40000\n2 20000 60000\n3 10000 70000 190000\n', '3 50000\n1 50000\n3 100000 120000 110000\n3 120000 110000 120000\n']
Demo Output:
['3\n1 2 3\n', '0\n\n']
Note:
In the first sample Valera can bargain with each of the sellers. He can outbid the following items: a 40000 item from the first seller, a 20000 item from the second seller, and a 10000 item from the third seller.
In the second sample Valera can not make a deal with any of the sellers, as the prices of all items in the auction too big for him. | ```python
n,v = [int(i) for i in input().split()]
count = 0
ans = []
arr = []
for _ in range(n):
lst = [int(i) for i in input().split()]
arr.append(lst)
for lst in arr:
for j in range(1,len(lst)):
if lst[j]<v:
count+=1
ans.append(lst[0])
break
ans.sort()
print(count)
for i in ans:
print(i,end=" ")
``` | 0 | |
365 | B | The Fibonacci Segment | PROGRAMMING | 1,100 | [
"implementation"
] | null | null | You have array *a*1,<=*a*2,<=...,<=*a**n*. Segment [*l*,<=*r*] (1<=≤<=*l*<=≤<=*r*<=≤<=*n*) is good if *a**i*<==<=*a**i*<=-<=1<=+<=*a**i*<=-<=2, for all *i* (*l*<=+<=2<=≤<=*i*<=≤<=*r*).
Let's define *len*([*l*,<=*r*])<==<=*r*<=-<=*l*<=+<=1, *len*([*l*,<=*r*]) is the length of the segment [*l*,<=*r*]. Segment [*l*1,<=*r*1], is longer than segment [*l*2,<=*r*2], if *len*([*l*1,<=*r*1])<=><=*len*([*l*2,<=*r*2]).
Your task is to find a good segment of the maximum length in array *a*. Note that a segment of length 1 or 2 is always good. | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105) — the number of elements in the array. The second line contains integers: *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=109). | Print the length of the longest good segment in array *a*. | [
"10\n1 2 3 5 8 13 21 34 55 89\n",
"5\n1 1 1 1 1\n"
] | [
"10\n",
"2\n"
] | none | 1,000 | [
{
"input": "10\n1 2 3 5 8 13 21 34 55 89",
"output": "10"
},
{
"input": "5\n1 1 1 1 1",
"output": "2"
},
{
"input": "1\n1000",
"output": "1"
},
{
"input": "51\n1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0",
"output"... | 1,639,245,928 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 3 | 93 | 0 | # author: violist
# created: 11.12.2021 18:37:45
import sys
input = sys.stdin.readline
n = int(input())
a = list(map(int, input().split()))
if (n == 1 or n == 2):
print(n)
sys.exit()
aktualny_pocet, maximalny_pocet = 2, 2
for i in range(2, n):
if (a[i] == a[i - 2] + a[i - 1]):
aktualny_pocet += 1
else:
maximalny_pocet = max(maximalny_pocet, aktualny_pocet)
aktualny_pocet = 0
maximalny_pocet = max(maximalny_pocet, aktualny_pocet)
print(maximalny_pocet)
| Title: The Fibonacci Segment
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have array *a*1,<=*a*2,<=...,<=*a**n*. Segment [*l*,<=*r*] (1<=≤<=*l*<=≤<=*r*<=≤<=*n*) is good if *a**i*<==<=*a**i*<=-<=1<=+<=*a**i*<=-<=2, for all *i* (*l*<=+<=2<=≤<=*i*<=≤<=*r*).
Let's define *len*([*l*,<=*r*])<==<=*r*<=-<=*l*<=+<=1, *len*([*l*,<=*r*]) is the length of the segment [*l*,<=*r*]. Segment [*l*1,<=*r*1], is longer than segment [*l*2,<=*r*2], if *len*([*l*1,<=*r*1])<=><=*len*([*l*2,<=*r*2]).
Your task is to find a good segment of the maximum length in array *a*. Note that a segment of length 1 or 2 is always good.
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105) — the number of elements in the array. The second line contains integers: *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=109).
Output Specification:
Print the length of the longest good segment in array *a*.
Demo Input:
['10\n1 2 3 5 8 13 21 34 55 89\n', '5\n1 1 1 1 1\n']
Demo Output:
['10\n', '2\n']
Note:
none | ```python
# author: violist
# created: 11.12.2021 18:37:45
import sys
input = sys.stdin.readline
n = int(input())
a = list(map(int, input().split()))
if (n == 1 or n == 2):
print(n)
sys.exit()
aktualny_pocet, maximalny_pocet = 2, 2
for i in range(2, n):
if (a[i] == a[i - 2] + a[i - 1]):
aktualny_pocet += 1
else:
maximalny_pocet = max(maximalny_pocet, aktualny_pocet)
aktualny_pocet = 0
maximalny_pocet = max(maximalny_pocet, aktualny_pocet)
print(maximalny_pocet)
``` | 0 | |
745 | A | Hongcow Learns the Cyclic Shift | PROGRAMMING | 900 | [
"implementation",
"strings"
] | null | null | Hongcow is learning to spell! One day, his teacher gives him a word that he needs to learn to spell. Being a dutiful student, he immediately learns how to spell the word.
Hongcow has decided to try to make new words from this one. He starts by taking the word he just learned how to spell, and moves the last character of the word to the beginning of the word. He calls this a cyclic shift. He can apply cyclic shift many times. For example, consecutively applying cyclic shift operation to the word "abracadabra" Hongcow will get words "aabracadabr", "raabracadab" and so on.
Hongcow is now wondering how many distinct words he can generate by doing the cyclic shift arbitrarily many times. The initial string is also counted. | The first line of input will be a single string *s* (1<=≤<=|*s*|<=≤<=50), the word Hongcow initially learns how to spell. The string *s* consists only of lowercase English letters ('a'–'z'). | Output a single integer equal to the number of distinct strings that Hongcow can obtain by applying the cyclic shift arbitrarily many times to the given string. | [
"abcd\n",
"bbb\n",
"yzyz\n"
] | [
"4\n",
"1\n",
"2\n"
] | For the first sample, the strings Hongcow can generate are "abcd", "dabc", "cdab", and "bcda".
For the second sample, no matter how many times Hongcow does the cyclic shift, Hongcow can only generate "bbb".
For the third sample, the two strings Hongcow can generate are "yzyz" and "zyzy". | 500 | [
{
"input": "abcd",
"output": "4"
},
{
"input": "bbb",
"output": "1"
},
{
"input": "yzyz",
"output": "2"
},
{
"input": "abcdefghijklmnopqrstuvwxyabcdefghijklmnopqrstuvwxy",
"output": "25"
},
{
"input": "zclkjadoprqronzclkjadoprqronzclkjadoprqron",
"output": "14... | 1,696,222,924 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 4 | 46 | 0 | word = input()
print(len(set(word))) | Title: Hongcow Learns the Cyclic Shift
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Hongcow is learning to spell! One day, his teacher gives him a word that he needs to learn to spell. Being a dutiful student, he immediately learns how to spell the word.
Hongcow has decided to try to make new words from this one. He starts by taking the word he just learned how to spell, and moves the last character of the word to the beginning of the word. He calls this a cyclic shift. He can apply cyclic shift many times. For example, consecutively applying cyclic shift operation to the word "abracadabra" Hongcow will get words "aabracadabr", "raabracadab" and so on.
Hongcow is now wondering how many distinct words he can generate by doing the cyclic shift arbitrarily many times. The initial string is also counted.
Input Specification:
The first line of input will be a single string *s* (1<=≤<=|*s*|<=≤<=50), the word Hongcow initially learns how to spell. The string *s* consists only of lowercase English letters ('a'–'z').
Output Specification:
Output a single integer equal to the number of distinct strings that Hongcow can obtain by applying the cyclic shift arbitrarily many times to the given string.
Demo Input:
['abcd\n', 'bbb\n', 'yzyz\n']
Demo Output:
['4\n', '1\n', '2\n']
Note:
For the first sample, the strings Hongcow can generate are "abcd", "dabc", "cdab", and "bcda".
For the second sample, no matter how many times Hongcow does the cyclic shift, Hongcow can only generate "bbb".
For the third sample, the two strings Hongcow can generate are "yzyz" and "zyzy". | ```python
word = input()
print(len(set(word)))
``` | 0 | |
78 | B | Easter Eggs | PROGRAMMING | 1,200 | [
"constructive algorithms",
"implementation"
] | B. Easter Eggs | 2 | 256 | The Easter Rabbit laid *n* eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
- Each of the seven colors should be used to paint at least one egg. - Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible. | The only line contains an integer *n* — the amount of eggs (7<=≤<=*n*<=≤<=100). | Print one line consisting of *n* characters. The *i*-th character should describe the color of the *i*-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them. | [
"8\n",
"13\n"
] | [
"ROYGRBIV\n",
"ROYGBIVGBIVYG\n"
] | The way the eggs will be painted in the first sample is shown on the picture: | 1,000 | [
{
"input": "8",
"output": "ROYGBIVG"
},
{
"input": "13",
"output": "ROYGBIVOYGBIV"
},
{
"input": "7",
"output": "ROYGBIV"
},
{
"input": "10",
"output": "ROYGBIVYGB"
},
{
"input": "14",
"output": "ROYGBIVROYGBIV"
},
{
"input": "50",
"output": "ROYGB... | 1,696,880,580 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 62 | 0 | def paint_eggs(n):
colors = ["R", "O", "Y", "G", "B", "I", "V"]
painted_eggs = []
painted_eggs.append(colors[0])
painted_eggs.append(colors[1])
painted_eggs.append(colors[2])
painted_eggs.append(colors[3])
for i in range(4, n):
painted_eggs.append(colors[i % 7])
return "".join(painted_eggs)
# Example usage:
n = int(input())
result = paint_eggs(n)
print(result) | Title: Easter Eggs
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
The Easter Rabbit laid *n* eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
- Each of the seven colors should be used to paint at least one egg. - Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.
Input Specification:
The only line contains an integer *n* — the amount of eggs (7<=≤<=*n*<=≤<=100).
Output Specification:
Print one line consisting of *n* characters. The *i*-th character should describe the color of the *i*-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them.
Demo Input:
['8\n', '13\n']
Demo Output:
['ROYGRBIV\n', 'ROYGBIVGBIVYG\n']
Note:
The way the eggs will be painted in the first sample is shown on the picture: | ```python
def paint_eggs(n):
colors = ["R", "O", "Y", "G", "B", "I", "V"]
painted_eggs = []
painted_eggs.append(colors[0])
painted_eggs.append(colors[1])
painted_eggs.append(colors[2])
painted_eggs.append(colors[3])
for i in range(4, n):
painted_eggs.append(colors[i % 7])
return "".join(painted_eggs)
# Example usage:
n = int(input())
result = paint_eggs(n)
print(result)
``` | 0 |
12 | C | Fruits | PROGRAMMING | 1,100 | [
"greedy",
"implementation",
"sortings"
] | C. Fruits | 1 | 256 | The spring is coming and it means that a lot of fruits appear on the counters. One sunny day little boy Valera decided to go shopping. He made a list of *m* fruits he wanted to buy. If Valera want to buy more than one fruit of some kind, he includes it into the list several times.
When he came to the fruit stall of Ashot, he saw that the seller hadn't distributed price tags to the goods, but put all price tags on the counter. Later Ashot will attach every price tag to some kind of fruits, and Valera will be able to count the total price of all fruits from his list. But Valera wants to know now what can be the smallest total price (in case of the most «lucky» for him distribution of price tags) and the largest total price (in case of the most «unlucky» for him distribution of price tags). | The first line of the input contains two integer number *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of price tags (which is equal to the number of different kinds of fruits that Ashot sells) and the number of items in Valera's list. The second line contains *n* space-separated positive integer numbers. Each of them doesn't exceed 100 and stands for the price of one fruit of some kind. The following *m* lines contain names of the fruits from the list. Each name is a non-empty string of small Latin letters which length doesn't exceed 32. It is guaranteed that the number of distinct fruits from the list is less of equal to *n*. Also it is known that the seller has in stock all fruits that Valera wants to buy. | Print two numbers *a* and *b* (*a*<=≤<=*b*) — the minimum and the maximum possible sum which Valera may need to buy all fruits from his list. | [
"5 3\n4 2 1 10 5\napple\norange\nmango\n",
"6 5\n3 5 1 6 8 1\npeach\ngrapefruit\nbanana\norange\norange\n"
] | [
"7 19\n",
"11 30\n"
] | none | 0 | [
{
"input": "5 3\n4 2 1 10 5\napple\norange\nmango",
"output": "7 19"
},
{
"input": "6 5\n3 5 1 6 8 1\npeach\ngrapefruit\nbanana\norange\norange",
"output": "11 30"
},
{
"input": "2 2\n91 82\neiiofpfpmemlakcystpun\nmcnzeiiofpfpmemlakcystpunfl",
"output": "173 173"
},
{
"input"... | 1,686,459,380 | 2,147,483,647 | Python 3 | OK | TESTS | 25 | 46 | 0 | x , y = map(int,input().split())
l = list(map(int,input().split()))
fruits = []
for i in range(y):
fruits.append(input())
cnt = []
for i in set(fruits):
cnt.append(fruits.count(i))
cnt = sorted(cnt)[::-1]
l.sort()
mini = 0
maxi = 0
for i in range(len(cnt)):
mini+=(l[i]*cnt[i])
print(mini,end=" ")
for i in range(len(cnt)):
maxi+=(l[-1*(i+1)]*cnt[i])
print(maxi) | Title: Fruits
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
The spring is coming and it means that a lot of fruits appear on the counters. One sunny day little boy Valera decided to go shopping. He made a list of *m* fruits he wanted to buy. If Valera want to buy more than one fruit of some kind, he includes it into the list several times.
When he came to the fruit stall of Ashot, he saw that the seller hadn't distributed price tags to the goods, but put all price tags on the counter. Later Ashot will attach every price tag to some kind of fruits, and Valera will be able to count the total price of all fruits from his list. But Valera wants to know now what can be the smallest total price (in case of the most «lucky» for him distribution of price tags) and the largest total price (in case of the most «unlucky» for him distribution of price tags).
Input Specification:
The first line of the input contains two integer number *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of price tags (which is equal to the number of different kinds of fruits that Ashot sells) and the number of items in Valera's list. The second line contains *n* space-separated positive integer numbers. Each of them doesn't exceed 100 and stands for the price of one fruit of some kind. The following *m* lines contain names of the fruits from the list. Each name is a non-empty string of small Latin letters which length doesn't exceed 32. It is guaranteed that the number of distinct fruits from the list is less of equal to *n*. Also it is known that the seller has in stock all fruits that Valera wants to buy.
Output Specification:
Print two numbers *a* and *b* (*a*<=≤<=*b*) — the minimum and the maximum possible sum which Valera may need to buy all fruits from his list.
Demo Input:
['5 3\n4 2 1 10 5\napple\norange\nmango\n', '6 5\n3 5 1 6 8 1\npeach\ngrapefruit\nbanana\norange\norange\n']
Demo Output:
['7 19\n', '11 30\n']
Note:
none | ```python
x , y = map(int,input().split())
l = list(map(int,input().split()))
fruits = []
for i in range(y):
fruits.append(input())
cnt = []
for i in set(fruits):
cnt.append(fruits.count(i))
cnt = sorted(cnt)[::-1]
l.sort()
mini = 0
maxi = 0
for i in range(len(cnt)):
mini+=(l[i]*cnt[i])
print(mini,end=" ")
for i in range(len(cnt)):
maxi+=(l[-1*(i+1)]*cnt[i])
print(maxi)
``` | 3.977 |
401 | C | Team | PROGRAMMING | 1,400 | [
"constructive algorithms",
"greedy",
"implementation"
] | null | null | Now it's time of Olympiads. Vanya and Egor decided to make his own team to take part in a programming Olympiad. They've been best friends ever since primary school and hopefully, that can somehow help them in teamwork.
For each team Olympiad, Vanya takes his play cards with numbers. He takes only the cards containing numbers 1 and 0. The boys are very superstitious. They think that they can do well at the Olympiad if they begin with laying all the cards in a row so that:
- there wouldn't be a pair of any side-adjacent cards with zeroes in a row; - there wouldn't be a group of three consecutive cards containing numbers one.
Today Vanya brought *n* cards with zeroes and *m* cards with numbers one. The number of cards was so much that the friends do not know how to put all those cards in the described way. Help them find the required arrangement of the cards or else tell the guys that it is impossible to arrange cards in such a way. | The first line contains two integers: *n* (1<=≤<=*n*<=≤<=106) — the number of cards containing number 0; *m* (1<=≤<=*m*<=≤<=106) — the number of cards containing number 1. | In a single line print the required sequence of zeroes and ones without any spaces. If such sequence is impossible to obtain, print -1. | [
"1 2\n",
"4 8\n",
"4 10\n",
"1 5\n"
] | [
"101\n",
"110110110101\n",
"11011011011011\n",
"-1\n"
] | none | 1,500 | [
{
"input": "1 2",
"output": "101"
},
{
"input": "4 8",
"output": "110110110101"
},
{
"input": "4 10",
"output": "11011011011011"
},
{
"input": "1 5",
"output": "-1"
},
{
"input": "3 4",
"output": "1010101"
},
{
"input": "3 10",
"output": "-1"
},
... | 1,590,917,149 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 6 | 140 | 0 | z,o = [int(x) for x in input().split()]
if o>=z-1 and o<=z+1:
# 101010......
if z>o: print("01"*o,"0",sep="")
elif o>z: print("10"*z,"1",sep="")
else: print("10"*o,sep="")
elif (z-1)*2<=o and o<=z*2+2:
mini = min([o//2,z])
s = "110"*mini
z-=mini
o-=mini*2
if z: s="0"+s
if o: s+= "1"*o
print(s)
else:
print(-1) | Title: Team
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Now it's time of Olympiads. Vanya and Egor decided to make his own team to take part in a programming Olympiad. They've been best friends ever since primary school and hopefully, that can somehow help them in teamwork.
For each team Olympiad, Vanya takes his play cards with numbers. He takes only the cards containing numbers 1 and 0. The boys are very superstitious. They think that they can do well at the Olympiad if they begin with laying all the cards in a row so that:
- there wouldn't be a pair of any side-adjacent cards with zeroes in a row; - there wouldn't be a group of three consecutive cards containing numbers one.
Today Vanya brought *n* cards with zeroes and *m* cards with numbers one. The number of cards was so much that the friends do not know how to put all those cards in the described way. Help them find the required arrangement of the cards or else tell the guys that it is impossible to arrange cards in such a way.
Input Specification:
The first line contains two integers: *n* (1<=≤<=*n*<=≤<=106) — the number of cards containing number 0; *m* (1<=≤<=*m*<=≤<=106) — the number of cards containing number 1.
Output Specification:
In a single line print the required sequence of zeroes and ones without any spaces. If such sequence is impossible to obtain, print -1.
Demo Input:
['1 2\n', '4 8\n', '4 10\n', '1 5\n']
Demo Output:
['101\n', '110110110101\n', '11011011011011\n', '-1\n']
Note:
none | ```python
z,o = [int(x) for x in input().split()]
if o>=z-1 and o<=z+1:
# 101010......
if z>o: print("01"*o,"0",sep="")
elif o>z: print("10"*z,"1",sep="")
else: print("10"*o,sep="")
elif (z-1)*2<=o and o<=z*2+2:
mini = min([o//2,z])
s = "110"*mini
z-=mini
o-=mini*2
if z: s="0"+s
if o: s+= "1"*o
print(s)
else:
print(-1)
``` | 0 | |
740 | A | Alyona and copybooks | PROGRAMMING | 1,300 | [
"brute force",
"implementation"
] | null | null | Little girl Alyona is in a shop to buy some copybooks for school. She study four subjects so she wants to have equal number of copybooks for each of the subjects. There are three types of copybook's packs in the shop: it is possible to buy one copybook for *a* rubles, a pack of two copybooks for *b* rubles, and a pack of three copybooks for *c* rubles. Alyona already has *n* copybooks.
What is the minimum amount of rubles she should pay to buy such number of copybooks *k* that *n*<=+<=*k* is divisible by 4? There are infinitely many packs of any type in the shop. Alyona can buy packs of different type in the same purchase. | The only line contains 4 integers *n*, *a*, *b*, *c* (1<=≤<=*n*,<=*a*,<=*b*,<=*c*<=≤<=109). | Print the minimum amount of rubles she should pay to buy such number of copybooks *k* that *n*<=+<=*k* is divisible by 4. | [
"1 1 3 4\n",
"6 2 1 1\n",
"4 4 4 4\n",
"999999999 1000000000 1000000000 1000000000\n"
] | [
"3\n",
"1\n",
"0\n",
"1000000000\n"
] | In the first example Alyona can buy 3 packs of 1 copybook for 3*a* = 3 rubles in total. After that she will have 4 copybooks which she can split between the subjects equally.
In the second example Alyuna can buy a pack of 2 copybooks for *b* = 1 ruble. She will have 8 copybooks in total.
In the third example Alyona can split the copybooks she already has between the 4 subject equally, so she doesn't need to buy anything.
In the fourth example Alyona should buy one pack of one copybook. | 500 | [
{
"input": "1 1 3 4",
"output": "3"
},
{
"input": "6 2 1 1",
"output": "1"
},
{
"input": "4 4 4 4",
"output": "0"
},
{
"input": "999999999 1000000000 1000000000 1000000000",
"output": "1000000000"
},
{
"input": "1016 3 2 1",
"output": "0"
},
{
"input":... | 1,480,183,005 | 2,147,483,647 | Python 3 | COMPILATION_ERROR | TESTS | 0 | 0 | 0 | n, a, b, c = (int(x) for x in input().split())
nd = 4 - n % 4
if nd == 0:
print 0
elif nd == 1:
print(a)
elif nd == 2:
print(min(2 * a, b))
else:
print(min(3 * a, min(a + b, c)))
| Title: Alyona and copybooks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little girl Alyona is in a shop to buy some copybooks for school. She study four subjects so she wants to have equal number of copybooks for each of the subjects. There are three types of copybook's packs in the shop: it is possible to buy one copybook for *a* rubles, a pack of two copybooks for *b* rubles, and a pack of three copybooks for *c* rubles. Alyona already has *n* copybooks.
What is the minimum amount of rubles she should pay to buy such number of copybooks *k* that *n*<=+<=*k* is divisible by 4? There are infinitely many packs of any type in the shop. Alyona can buy packs of different type in the same purchase.
Input Specification:
The only line contains 4 integers *n*, *a*, *b*, *c* (1<=≤<=*n*,<=*a*,<=*b*,<=*c*<=≤<=109).
Output Specification:
Print the minimum amount of rubles she should pay to buy such number of copybooks *k* that *n*<=+<=*k* is divisible by 4.
Demo Input:
['1 1 3 4\n', '6 2 1 1\n', '4 4 4 4\n', '999999999 1000000000 1000000000 1000000000\n']
Demo Output:
['3\n', '1\n', '0\n', '1000000000\n']
Note:
In the first example Alyona can buy 3 packs of 1 copybook for 3*a* = 3 rubles in total. After that she will have 4 copybooks which she can split between the subjects equally.
In the second example Alyuna can buy a pack of 2 copybooks for *b* = 1 ruble. She will have 8 copybooks in total.
In the third example Alyona can split the copybooks she already has between the 4 subject equally, so she doesn't need to buy anything.
In the fourth example Alyona should buy one pack of one copybook. | ```python
n, a, b, c = (int(x) for x in input().split())
nd = 4 - n % 4
if nd == 0:
print 0
elif nd == 1:
print(a)
elif nd == 2:
print(min(2 * a, b))
else:
print(min(3 * a, min(a + b, c)))
``` | -1 | |
483 | A | Counterexample | PROGRAMMING | 1,100 | [
"brute force",
"implementation",
"math",
"number theory"
] | null | null | Your friend has recently learned about coprime numbers. A pair of numbers {*a*,<=*b*} is called coprime if the maximum number that divides both *a* and *b* is equal to one.
Your friend often comes up with different statements. He has recently supposed that if the pair (*a*,<=*b*) is coprime and the pair (*b*,<=*c*) is coprime, then the pair (*a*,<=*c*) is coprime.
You want to find a counterexample for your friend's statement. Therefore, your task is to find three distinct numbers (*a*,<=*b*,<=*c*), for which the statement is false, and the numbers meet the condition *l*<=≤<=*a*<=<<=*b*<=<<=*c*<=≤<=*r*.
More specifically, you need to find three numbers (*a*,<=*b*,<=*c*), such that *l*<=≤<=*a*<=<<=*b*<=<<=*c*<=≤<=*r*, pairs (*a*,<=*b*) and (*b*,<=*c*) are coprime, and pair (*a*,<=*c*) is not coprime. | The single line contains two positive space-separated integers *l*, *r* (1<=≤<=*l*<=≤<=*r*<=≤<=1018; *r*<=-<=*l*<=≤<=50). | Print three positive space-separated integers *a*, *b*, *c* — three distinct numbers (*a*,<=*b*,<=*c*) that form the counterexample. If there are several solutions, you are allowed to print any of them. The numbers must be printed in ascending order.
If the counterexample does not exist, print the single number -1. | [
"2 4\n",
"10 11\n",
"900000000000000009 900000000000000029\n"
] | [
"2 3 4\n",
"-1\n",
"900000000000000009 900000000000000010 900000000000000021\n"
] | In the first sample pair (2, 4) is not coprime and pairs (2, 3) and (3, 4) are.
In the second sample you cannot form a group of three distinct integers, so the answer is -1.
In the third sample it is easy to see that numbers 900000000000000009 and 900000000000000021 are divisible by three. | 500 | [
{
"input": "2 4",
"output": "2 3 4"
},
{
"input": "10 11",
"output": "-1"
},
{
"input": "900000000000000009 900000000000000029",
"output": "900000000000000009 900000000000000010 900000000000000021"
},
{
"input": "640097987171091791 640097987171091835",
"output": "64009798... | 1,620,053,697 | 2,147,483,647 | PyPy 3 | OK | TESTS | 42 | 108 | 1,433,600 |
def HCF(l, r):
while r:
l, r = r, l%r
return l
found = False
l, r = map(int, input().split())
for i in range(l, r+1):
for j in range(i, r+1):
for k in range(j, r+1):
if HCF(i, j) == 1 and HCF(j, k) == 1 and HCF(i, k) != 1:
print(i, j, k)
found = True
break
if found:
break
if found:
break
if not found:
print(-1)
| Title: Counterexample
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Your friend has recently learned about coprime numbers. A pair of numbers {*a*,<=*b*} is called coprime if the maximum number that divides both *a* and *b* is equal to one.
Your friend often comes up with different statements. He has recently supposed that if the pair (*a*,<=*b*) is coprime and the pair (*b*,<=*c*) is coprime, then the pair (*a*,<=*c*) is coprime.
You want to find a counterexample for your friend's statement. Therefore, your task is to find three distinct numbers (*a*,<=*b*,<=*c*), for which the statement is false, and the numbers meet the condition *l*<=≤<=*a*<=<<=*b*<=<<=*c*<=≤<=*r*.
More specifically, you need to find three numbers (*a*,<=*b*,<=*c*), such that *l*<=≤<=*a*<=<<=*b*<=<<=*c*<=≤<=*r*, pairs (*a*,<=*b*) and (*b*,<=*c*) are coprime, and pair (*a*,<=*c*) is not coprime.
Input Specification:
The single line contains two positive space-separated integers *l*, *r* (1<=≤<=*l*<=≤<=*r*<=≤<=1018; *r*<=-<=*l*<=≤<=50).
Output Specification:
Print three positive space-separated integers *a*, *b*, *c* — three distinct numbers (*a*,<=*b*,<=*c*) that form the counterexample. If there are several solutions, you are allowed to print any of them. The numbers must be printed in ascending order.
If the counterexample does not exist, print the single number -1.
Demo Input:
['2 4\n', '10 11\n', '900000000000000009 900000000000000029\n']
Demo Output:
['2 3 4\n', '-1\n', '900000000000000009 900000000000000010 900000000000000021\n']
Note:
In the first sample pair (2, 4) is not coprime and pairs (2, 3) and (3, 4) are.
In the second sample you cannot form a group of three distinct integers, so the answer is -1.
In the third sample it is easy to see that numbers 900000000000000009 and 900000000000000021 are divisible by three. | ```python
def HCF(l, r):
while r:
l, r = r, l%r
return l
found = False
l, r = map(int, input().split())
for i in range(l, r+1):
for j in range(i, r+1):
for k in range(j, r+1):
if HCF(i, j) == 1 and HCF(j, k) == 1 and HCF(i, k) != 1:
print(i, j, k)
found = True
break
if found:
break
if found:
break
if not found:
print(-1)
``` | 3 | |
950 | A | Left-handers, Right-handers and Ambidexters | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | You are at a water bowling training. There are *l* people who play with their left hand, *r* people, who play with their right hand, and *a* ambidexters, who can play with left or right hand.
The coach decided to form a team of even number of players, exactly half of the players should play with their right hand, and exactly half of the players should play with their left hand. One player should use only on of his hands.
Ambidexters play as well with their right hand as with their left hand. In the team, an ambidexter can play with their left hand, or with their right hand.
Please find the maximum possible size of the team, where equal number of players use their left and right hands, respectively. | The only line contains three integers *l*, *r* and *a* (0<=≤<=*l*,<=*r*,<=*a*<=≤<=100) — the number of left-handers, the number of right-handers and the number of ambidexters at the training. | Print a single even integer — the maximum number of players in the team. It is possible that the team can only have zero number of players. | [
"1 4 2\n",
"5 5 5\n",
"0 2 0\n"
] | [
"6\n",
"14\n",
"0\n"
] | In the first example you can form a team of 6 players. You should take the only left-hander and two ambidexters to play with left hand, and three right-handers to play with right hand. The only person left can't be taken into the team.
In the second example you can form a team of 14 people. You have to take all five left-handers, all five right-handers, two ambidexters to play with left hand and two ambidexters to play with right hand. | 500 | [
{
"input": "1 4 2",
"output": "6"
},
{
"input": "5 5 5",
"output": "14"
},
{
"input": "0 2 0",
"output": "0"
},
{
"input": "30 70 34",
"output": "128"
},
{
"input": "89 32 24",
"output": "112"
},
{
"input": "89 44 77",
"output": "210"
},
{
... | 1,679,428,142 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 1 | 31 | 0 | from sys import stdin
rd = stdin.readline
l, r, a = map(int, rd().split())
res = max(l, r) + a
if res & 1: print(res - 1)
else: print(res)
| Title: Left-handers, Right-handers and Ambidexters
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are at a water bowling training. There are *l* people who play with their left hand, *r* people, who play with their right hand, and *a* ambidexters, who can play with left or right hand.
The coach decided to form a team of even number of players, exactly half of the players should play with their right hand, and exactly half of the players should play with their left hand. One player should use only on of his hands.
Ambidexters play as well with their right hand as with their left hand. In the team, an ambidexter can play with their left hand, or with their right hand.
Please find the maximum possible size of the team, where equal number of players use their left and right hands, respectively.
Input Specification:
The only line contains three integers *l*, *r* and *a* (0<=≤<=*l*,<=*r*,<=*a*<=≤<=100) — the number of left-handers, the number of right-handers and the number of ambidexters at the training.
Output Specification:
Print a single even integer — the maximum number of players in the team. It is possible that the team can only have zero number of players.
Demo Input:
['1 4 2\n', '5 5 5\n', '0 2 0\n']
Demo Output:
['6\n', '14\n', '0\n']
Note:
In the first example you can form a team of 6 players. You should take the only left-hander and two ambidexters to play with left hand, and three right-handers to play with right hand. The only person left can't be taken into the team.
In the second example you can form a team of 14 people. You have to take all five left-handers, all five right-handers, two ambidexters to play with left hand and two ambidexters to play with right hand. | ```python
from sys import stdin
rd = stdin.readline
l, r, a = map(int, rd().split())
res = max(l, r) + a
if res & 1: print(res - 1)
else: print(res)
``` | 0 | |
337 | A | Puzzles | PROGRAMMING | 900 | [
"greedy"
] | null | null | The end of the school year is near and Ms. Manana, the teacher, will soon have to say goodbye to a yet another class. She decided to prepare a goodbye present for her *n* students and give each of them a jigsaw puzzle (which, as wikipedia states, is a tiling puzzle that requires the assembly of numerous small, often oddly shaped, interlocking and tessellating pieces).
The shop assistant told the teacher that there are *m* puzzles in the shop, but they might differ in difficulty and size. Specifically, the first jigsaw puzzle consists of *f*1 pieces, the second one consists of *f*2 pieces and so on.
Ms. Manana doesn't want to upset the children, so she decided that the difference between the numbers of pieces in her presents must be as small as possible. Let *A* be the number of pieces in the largest puzzle that the teacher buys and *B* be the number of pieces in the smallest such puzzle. She wants to choose such *n* puzzles that *A*<=-<=*B* is minimum possible. Help the teacher and find the least possible value of *A*<=-<=*B*. | The first line contains space-separated integers *n* and *m* (2<=≤<=*n*<=≤<=*m*<=≤<=50). The second line contains *m* space-separated integers *f*1,<=*f*2,<=...,<=*f**m* (4<=≤<=*f**i*<=≤<=1000) — the quantities of pieces in the puzzles sold in the shop. | Print a single integer — the least possible difference the teacher can obtain. | [
"4 6\n10 12 10 7 5 22\n"
] | [
"5\n"
] | Sample 1. The class has 4 students. The shop sells 6 puzzles. If Ms. Manana buys the first four puzzles consisting of 10, 12, 10 and 7 pieces correspondingly, then the difference between the sizes of the largest and the smallest puzzle will be equal to 5. It is impossible to obtain a smaller difference. Note that the teacher can also buy puzzles 1, 3, 4 and 5 to obtain the difference 5. | 500 | [
{
"input": "4 6\n10 12 10 7 5 22",
"output": "5"
},
{
"input": "2 2\n4 4",
"output": "0"
},
{
"input": "2 10\n4 5 6 7 8 9 10 11 12 12",
"output": "0"
},
{
"input": "4 5\n818 136 713 59 946",
"output": "759"
},
{
"input": "3 20\n446 852 783 313 549 965 40 88 86 617... | 1,669,734,589 | 2,147,483,647 | Python 3 | OK | TESTS | 18 | 92 | 0 | s,n = list(map(int, input().split()))
prices = list(map(int, input().split()))
prices.sort()
dif = 999
for i in range(n-s+1):
if prices[i+(s-1)] - prices[i] < dif:
dif = prices[i+(s-1)] - prices[i]
print(dif) | Title: Puzzles
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The end of the school year is near and Ms. Manana, the teacher, will soon have to say goodbye to a yet another class. She decided to prepare a goodbye present for her *n* students and give each of them a jigsaw puzzle (which, as wikipedia states, is a tiling puzzle that requires the assembly of numerous small, often oddly shaped, interlocking and tessellating pieces).
The shop assistant told the teacher that there are *m* puzzles in the shop, but they might differ in difficulty and size. Specifically, the first jigsaw puzzle consists of *f*1 pieces, the second one consists of *f*2 pieces and so on.
Ms. Manana doesn't want to upset the children, so she decided that the difference between the numbers of pieces in her presents must be as small as possible. Let *A* be the number of pieces in the largest puzzle that the teacher buys and *B* be the number of pieces in the smallest such puzzle. She wants to choose such *n* puzzles that *A*<=-<=*B* is minimum possible. Help the teacher and find the least possible value of *A*<=-<=*B*.
Input Specification:
The first line contains space-separated integers *n* and *m* (2<=≤<=*n*<=≤<=*m*<=≤<=50). The second line contains *m* space-separated integers *f*1,<=*f*2,<=...,<=*f**m* (4<=≤<=*f**i*<=≤<=1000) — the quantities of pieces in the puzzles sold in the shop.
Output Specification:
Print a single integer — the least possible difference the teacher can obtain.
Demo Input:
['4 6\n10 12 10 7 5 22\n']
Demo Output:
['5\n']
Note:
Sample 1. The class has 4 students. The shop sells 6 puzzles. If Ms. Manana buys the first four puzzles consisting of 10, 12, 10 and 7 pieces correspondingly, then the difference between the sizes of the largest and the smallest puzzle will be equal to 5. It is impossible to obtain a smaller difference. Note that the teacher can also buy puzzles 1, 3, 4 and 5 to obtain the difference 5. | ```python
s,n = list(map(int, input().split()))
prices = list(map(int, input().split()))
prices.sort()
dif = 999
for i in range(n-s+1):
if prices[i+(s-1)] - prices[i] < dif:
dif = prices[i+(s-1)] - prices[i]
print(dif)
``` | 3 | |
499 | B | Lecture | PROGRAMMING | 1,000 | [
"implementation",
"strings"
] | null | null | You have a new professor of graph theory and he speaks very quickly. You come up with the following plan to keep up with his lecture and make notes.
You know two languages, and the professor is giving the lecture in the first one. The words in both languages consist of lowercase English characters, each language consists of several words. For each language, all words are distinct, i.e. they are spelled differently. Moreover, the words of these languages have a one-to-one correspondence, that is, for each word in each language, there exists exactly one word in the other language having has the same meaning.
You can write down every word the professor says in either the first language or the second language. Of course, during the lecture you write down each word in the language in which the word is shorter. In case of equal lengths of the corresponding words you prefer the word of the first language.
You are given the text of the lecture the professor is going to read. Find out how the lecture will be recorded in your notes. | The first line contains two integers, *n* and *m* (1<=≤<=*n*<=≤<=3000, 1<=≤<=*m*<=≤<=3000) — the number of words in the professor's lecture and the number of words in each of these languages.
The following *m* lines contain the words. The *i*-th line contains two strings *a**i*, *b**i* meaning that the word *a**i* belongs to the first language, the word *b**i* belongs to the second language, and these two words have the same meaning. It is guaranteed that no word occurs in both languages, and each word occurs in its language exactly once.
The next line contains *n* space-separated strings *c*1,<=*c*2,<=...,<=*c**n* — the text of the lecture. It is guaranteed that each of the strings *c**i* belongs to the set of strings {*a*1,<=*a*2,<=... *a**m*}.
All the strings in the input are non-empty, each consisting of no more than 10 lowercase English letters. | Output exactly *n* words: how you will record the lecture in your notebook. Output the words of the lecture in the same order as in the input. | [
"4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest\n",
"5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll\n"
] | [
"codeforces round letter round\n",
"hbnyiyc joll joll un joll\n"
] | none | 500 | [
{
"input": "4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest",
"output": "codeforces round letter round"
},
{
"input": "5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll",
"output": "hbnyiyc joll joll un joll"
},
{
"input"... | 1,683,279,460 | 2,147,483,647 | Python 3 | OK | TESTS | 37 | 452 | 921,600 | n,m = map(int,input().split())
a = []
b = []
c = []
e = []
for i in range(m):
a.insert(i,list(map(str,input().split())))
d = list(map(str,input().split()))
for i in range(m):
b.insert(i,a[i][0])
for i in range(m):
c.insert(i,a[i][1])
for i in range(n):
if(len(b[b.index(d[i])]) <= len(c[b.index(d[i])])):
e.insert(i,b[b.index(d[i])])
else:
e.insert(i,c[b.index(d[i])])
print(' '.join(e))
| Title: Lecture
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have a new professor of graph theory and he speaks very quickly. You come up with the following plan to keep up with his lecture and make notes.
You know two languages, and the professor is giving the lecture in the first one. The words in both languages consist of lowercase English characters, each language consists of several words. For each language, all words are distinct, i.e. they are spelled differently. Moreover, the words of these languages have a one-to-one correspondence, that is, for each word in each language, there exists exactly one word in the other language having has the same meaning.
You can write down every word the professor says in either the first language or the second language. Of course, during the lecture you write down each word in the language in which the word is shorter. In case of equal lengths of the corresponding words you prefer the word of the first language.
You are given the text of the lecture the professor is going to read. Find out how the lecture will be recorded in your notes.
Input Specification:
The first line contains two integers, *n* and *m* (1<=≤<=*n*<=≤<=3000, 1<=≤<=*m*<=≤<=3000) — the number of words in the professor's lecture and the number of words in each of these languages.
The following *m* lines contain the words. The *i*-th line contains two strings *a**i*, *b**i* meaning that the word *a**i* belongs to the first language, the word *b**i* belongs to the second language, and these two words have the same meaning. It is guaranteed that no word occurs in both languages, and each word occurs in its language exactly once.
The next line contains *n* space-separated strings *c*1,<=*c*2,<=...,<=*c**n* — the text of the lecture. It is guaranteed that each of the strings *c**i* belongs to the set of strings {*a*1,<=*a*2,<=... *a**m*}.
All the strings in the input are non-empty, each consisting of no more than 10 lowercase English letters.
Output Specification:
Output exactly *n* words: how you will record the lecture in your notebook. Output the words of the lecture in the same order as in the input.
Demo Input:
['4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest\n', '5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll\n']
Demo Output:
['codeforces round letter round\n', 'hbnyiyc joll joll un joll\n']
Note:
none | ```python
n,m = map(int,input().split())
a = []
b = []
c = []
e = []
for i in range(m):
a.insert(i,list(map(str,input().split())))
d = list(map(str,input().split()))
for i in range(m):
b.insert(i,a[i][0])
for i in range(m):
c.insert(i,a[i][1])
for i in range(n):
if(len(b[b.index(d[i])]) <= len(c[b.index(d[i])])):
e.insert(i,b[b.index(d[i])])
else:
e.insert(i,c[b.index(d[i])])
print(' '.join(e))
``` | 3 | |
748 | A | Santa Claus and a Place in a Class | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | Santa Claus is the first who came to the Christmas Olympiad, and he is going to be the first to take his place at a desk! In the classroom there are *n* lanes of *m* desks each, and there are two working places at each of the desks. The lanes are numbered from 1 to *n* from the left to the right, the desks in a lane are numbered from 1 to *m* starting from the blackboard. Note that the lanes go perpendicularly to the blackboard, not along it (see picture).
The organizers numbered all the working places from 1 to 2*nm*. The places are numbered by lanes (i. e. all the places of the first lane go first, then all the places of the second lane, and so on), in a lane the places are numbered starting from the nearest to the blackboard (i. e. from the first desk in the lane), at each desk, the place on the left is numbered before the place on the right.
Santa Clause knows that his place has number *k*. Help him to determine at which lane at which desk he should sit, and whether his place is on the left or on the right! | The only line contains three integers *n*, *m* and *k* (1<=≤<=*n*,<=*m*<=≤<=10<=000, 1<=≤<=*k*<=≤<=2*nm*) — the number of lanes, the number of desks in each lane and the number of Santa Claus' place. | Print two integers: the number of lane *r*, the number of desk *d*, and a character *s*, which stands for the side of the desk Santa Claus. The character *s* should be "L", if Santa Clause should sit on the left, and "R" if his place is on the right. | [
"4 3 9\n",
"4 3 24\n",
"2 4 4\n"
] | [
"2 2 L\n",
"4 3 R\n",
"1 2 R\n"
] | The first and the second samples are shown on the picture. The green place corresponds to Santa Claus' place in the first example, the blue place corresponds to Santa Claus' place in the second example.
In the third sample there are two lanes with four desks in each, and Santa Claus has the fourth place. Thus, his place is in the first lane at the second desk on the right. | 500 | [
{
"input": "4 3 9",
"output": "2 2 L"
},
{
"input": "4 3 24",
"output": "4 3 R"
},
{
"input": "2 4 4",
"output": "1 2 R"
},
{
"input": "3 10 24",
"output": "2 2 R"
},
{
"input": "10 3 59",
"output": "10 3 L"
},
{
"input": "10000 10000 160845880",
"... | 1,482,657,565 | 865 | Python 3 | OK | TESTS | 46 | 62 | 4,608,000 | n,m,k=map(int,input().split())
r=(k-1)//(m*2)+1
d=(k-1)%(m*2)//2+1
if k%2==1:
s='L'
else:
s='R'
print(r,d,s)
| Title: Santa Claus and a Place in a Class
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Santa Claus is the first who came to the Christmas Olympiad, and he is going to be the first to take his place at a desk! In the classroom there are *n* lanes of *m* desks each, and there are two working places at each of the desks. The lanes are numbered from 1 to *n* from the left to the right, the desks in a lane are numbered from 1 to *m* starting from the blackboard. Note that the lanes go perpendicularly to the blackboard, not along it (see picture).
The organizers numbered all the working places from 1 to 2*nm*. The places are numbered by lanes (i. e. all the places of the first lane go first, then all the places of the second lane, and so on), in a lane the places are numbered starting from the nearest to the blackboard (i. e. from the first desk in the lane), at each desk, the place on the left is numbered before the place on the right.
Santa Clause knows that his place has number *k*. Help him to determine at which lane at which desk he should sit, and whether his place is on the left or on the right!
Input Specification:
The only line contains three integers *n*, *m* and *k* (1<=≤<=*n*,<=*m*<=≤<=10<=000, 1<=≤<=*k*<=≤<=2*nm*) — the number of lanes, the number of desks in each lane and the number of Santa Claus' place.
Output Specification:
Print two integers: the number of lane *r*, the number of desk *d*, and a character *s*, which stands for the side of the desk Santa Claus. The character *s* should be "L", if Santa Clause should sit on the left, and "R" if his place is on the right.
Demo Input:
['4 3 9\n', '4 3 24\n', '2 4 4\n']
Demo Output:
['2 2 L\n', '4 3 R\n', '1 2 R\n']
Note:
The first and the second samples are shown on the picture. The green place corresponds to Santa Claus' place in the first example, the blue place corresponds to Santa Claus' place in the second example.
In the third sample there are two lanes with four desks in each, and Santa Claus has the fourth place. Thus, his place is in the first lane at the second desk on the right. | ```python
n,m,k=map(int,input().split())
r=(k-1)//(m*2)+1
d=(k-1)%(m*2)//2+1
if k%2==1:
s='L'
else:
s='R'
print(r,d,s)
``` | 3 | |
3 | A | Shortest path of the king | PROGRAMMING | 1,000 | [
"greedy",
"shortest paths"
] | A. Shortest path of the king | 1 | 64 | The king is left alone on the chessboard. In spite of this loneliness, he doesn't lose heart, because he has business of national importance. For example, he has to pay an official visit to square *t*. As the king is not in habit of wasting his time, he wants to get from his current position *s* to square *t* in the least number of moves. Help him to do this.
In one move the king can get to the square that has a common side or a common vertex with the square the king is currently in (generally there are 8 different squares he can move to). | The first line contains the chessboard coordinates of square *s*, the second line — of square *t*.
Chessboard coordinates consist of two characters, the first one is a lowercase Latin letter (from a to h), the second one is a digit from 1 to 8. | In the first line print *n* — minimum number of the king's moves. Then in *n* lines print the moves themselves. Each move is described with one of the 8: L, R, U, D, LU, LD, RU or RD.
L, R, U, D stand respectively for moves left, right, up and down (according to the picture), and 2-letter combinations stand for diagonal moves. If the answer is not unique, print any of them. | [
"a8\nh1\n"
] | [
"7\nRD\nRD\nRD\nRD\nRD\nRD\nRD\n"
] | none | 0 | [
{
"input": "a8\nh1",
"output": "7\nRD\nRD\nRD\nRD\nRD\nRD\nRD"
},
{
"input": "b2\nb4",
"output": "2\nU\nU"
},
{
"input": "a5\na5",
"output": "0"
},
{
"input": "h1\nb2",
"output": "6\nLU\nL\nL\nL\nL\nL"
},
{
"input": "c5\nh2",
"output": "5\nRD\nRD\nRD\nR\nR"
... | 1,691,068,058 | 2,147,483,647 | Python 3 | OK | TESTS | 35 | 92 | 0 | # LUOGU_RID: 118875845
a = input() + input()
a, b = (ord(a[i]) - ord(a[i + 2]) for i in (0, 1))
print(max(a, -a, b, -b))
while a != 0 or b != 0:
r = ''
if a < 0: r = 'R';a += 1
if a > 0: r = 'L';a -= 1
if b < 0: r += 'U';b += 1
if b > 0: r += 'D';b -= 1
print(r) | Title: Shortest path of the king
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
The king is left alone on the chessboard. In spite of this loneliness, he doesn't lose heart, because he has business of national importance. For example, he has to pay an official visit to square *t*. As the king is not in habit of wasting his time, he wants to get from his current position *s* to square *t* in the least number of moves. Help him to do this.
In one move the king can get to the square that has a common side or a common vertex with the square the king is currently in (generally there are 8 different squares he can move to).
Input Specification:
The first line contains the chessboard coordinates of square *s*, the second line — of square *t*.
Chessboard coordinates consist of two characters, the first one is a lowercase Latin letter (from a to h), the second one is a digit from 1 to 8.
Output Specification:
In the first line print *n* — minimum number of the king's moves. Then in *n* lines print the moves themselves. Each move is described with one of the 8: L, R, U, D, LU, LD, RU or RD.
L, R, U, D stand respectively for moves left, right, up and down (according to the picture), and 2-letter combinations stand for diagonal moves. If the answer is not unique, print any of them.
Demo Input:
['a8\nh1\n']
Demo Output:
['7\nRD\nRD\nRD\nRD\nRD\nRD\nRD\n']
Note:
none | ```python
# LUOGU_RID: 118875845
a = input() + input()
a, b = (ord(a[i]) - ord(a[i + 2]) for i in (0, 1))
print(max(a, -a, b, -b))
while a != 0 or b != 0:
r = ''
if a < 0: r = 'R';a += 1
if a > 0: r = 'L';a -= 1
if b < 0: r += 'U';b += 1
if b > 0: r += 'D';b -= 1
print(r)
``` | 3.954 |
604 | B | More Cowbell | PROGRAMMING | 1,400 | [
"binary search",
"greedy"
] | null | null | Kevin Sun wants to move his precious collection of *n* cowbells from Naperthrill to Exeter, where there is actually grass instead of corn. Before moving, he must pack his cowbells into *k* boxes of a fixed size. In order to keep his collection safe during transportation, he won't place more than two cowbells into a single box. Since Kevin wishes to minimize expenses, he is curious about the smallest size box he can use to pack his entire collection.
Kevin is a meticulous cowbell collector and knows that the size of his *i*-th (1<=≤<=*i*<=≤<=*n*) cowbell is an integer *s**i*. In fact, he keeps his cowbells sorted by size, so *s**i*<=-<=1<=≤<=*s**i* for any *i*<=><=1. Also an expert packer, Kevin can fit one or two cowbells into a box of size *s* if and only if the sum of their sizes does not exceed *s*. Given this information, help Kevin determine the smallest *s* for which it is possible to put all of his cowbells into *k* boxes of size *s*. | The first line of the input contains two space-separated integers *n* and *k* (1<=≤<=*n*<=≤<=2·*k*<=≤<=100<=000), denoting the number of cowbells and the number of boxes, respectively.
The next line contains *n* space-separated integers *s*1,<=*s*2,<=...,<=*s**n* (1<=≤<=*s*1<=≤<=*s*2<=≤<=...<=≤<=*s**n*<=≤<=1<=000<=000), the sizes of Kevin's cowbells. It is guaranteed that the sizes *s**i* are given in non-decreasing order. | Print a single integer, the smallest *s* for which it is possible for Kevin to put all of his cowbells into *k* boxes of size *s*. | [
"2 1\n2 5\n",
"4 3\n2 3 5 9\n",
"3 2\n3 5 7\n"
] | [
"7\n",
"9\n",
"8\n"
] | In the first sample, Kevin must pack his two cowbells into the same box.
In the second sample, Kevin can pack together the following sets of cowbells: {2, 3}, {5} and {9}.
In the third sample, the optimal solution is {3, 5} and {7}. | 1,000 | [
{
"input": "2 1\n2 5",
"output": "7"
},
{
"input": "4 3\n2 3 5 9",
"output": "9"
},
{
"input": "3 2\n3 5 7",
"output": "8"
},
{
"input": "20 11\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1",
"output": "2"
},
{
"input": "10 10\n3 15 31 61 63 63 68 94 98 100",
"outp... | 1,677,816,501 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 54 | 77 | 13,516,800 | n,k = map(int, input().split())
l = list(map(int, input().split()))
x = 2*k - n
ans = l[-1]
for i in range(n-x):
j = n-x-1-i
if i==j:
ans = max(ans,l[i])
break
elif i>j:
break
else:
ans = max(ans,l[i]+l[j])
print(ans)
| Title: More Cowbell
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Kevin Sun wants to move his precious collection of *n* cowbells from Naperthrill to Exeter, where there is actually grass instead of corn. Before moving, he must pack his cowbells into *k* boxes of a fixed size. In order to keep his collection safe during transportation, he won't place more than two cowbells into a single box. Since Kevin wishes to minimize expenses, he is curious about the smallest size box he can use to pack his entire collection.
Kevin is a meticulous cowbell collector and knows that the size of his *i*-th (1<=≤<=*i*<=≤<=*n*) cowbell is an integer *s**i*. In fact, he keeps his cowbells sorted by size, so *s**i*<=-<=1<=≤<=*s**i* for any *i*<=><=1. Also an expert packer, Kevin can fit one or two cowbells into a box of size *s* if and only if the sum of their sizes does not exceed *s*. Given this information, help Kevin determine the smallest *s* for which it is possible to put all of his cowbells into *k* boxes of size *s*.
Input Specification:
The first line of the input contains two space-separated integers *n* and *k* (1<=≤<=*n*<=≤<=2·*k*<=≤<=100<=000), denoting the number of cowbells and the number of boxes, respectively.
The next line contains *n* space-separated integers *s*1,<=*s*2,<=...,<=*s**n* (1<=≤<=*s*1<=≤<=*s*2<=≤<=...<=≤<=*s**n*<=≤<=1<=000<=000), the sizes of Kevin's cowbells. It is guaranteed that the sizes *s**i* are given in non-decreasing order.
Output Specification:
Print a single integer, the smallest *s* for which it is possible for Kevin to put all of his cowbells into *k* boxes of size *s*.
Demo Input:
['2 1\n2 5\n', '4 3\n2 3 5 9\n', '3 2\n3 5 7\n']
Demo Output:
['7\n', '9\n', '8\n']
Note:
In the first sample, Kevin must pack his two cowbells into the same box.
In the second sample, Kevin can pack together the following sets of cowbells: {2, 3}, {5} and {9}.
In the third sample, the optimal solution is {3, 5} and {7}. | ```python
n,k = map(int, input().split())
l = list(map(int, input().split()))
x = 2*k - n
ans = l[-1]
for i in range(n-x):
j = n-x-1-i
if i==j:
ans = max(ans,l[i])
break
elif i>j:
break
else:
ans = max(ans,l[i]+l[j])
print(ans)
``` | 3 | |
122 | A | Lucky Division | PROGRAMMING | 1,000 | [
"brute force",
"number theory"
] | null | null | Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number *n* is almost lucky. | The single line contains an integer *n* (1<=≤<=*n*<=≤<=1000) — the number that needs to be checked. | In the only line print "YES" (without the quotes), if number *n* is almost lucky. Otherwise, print "NO" (without the quotes). | [
"47\n",
"16\n",
"78\n"
] | [
"YES\n",
"YES\n",
"NO\n"
] | Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | 500 | [
{
"input": "47",
"output": "YES"
},
{
"input": "16",
"output": "YES"
},
{
"input": "78",
"output": "NO"
},
{
"input": "48",
"output": "YES"
},
{
"input": "100",
"output": "YES"
},
{
"input": "107",
"output": "NO"
},
{
"input": "77",
"ou... | 1,698,612,086 | 2,147,483,647 | Python 3 | COMPILATION_ERROR | TESTS | 0 | 0 | 0 | // "COURTESY TO ALMIGHTY ALLAH"
#include<bits/stdc++.h>
using namespace std ;
bool islucky(int n){
string s = to_string(n) ;
for (int i=0 ; i<s.size();i++){
if (s[i] != '4' && s[i] != '7') return false ;
}
return true ;
}
bool isdiv(int n){
vector<int> v = {4,7,44,77,47,74,777,444,774,747,477,447,474,744} ;
for(int i:v){
if (n%i == 0) return true ;
}
return false ;
}
int main(){
int n ; cin >> n ;
if (islucky(n) || isdiv(n)) cout << "YES" ;
else cout << "NO" ;
return 0 ;
}
| Title: Lucky Division
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number *n* is almost lucky.
Input Specification:
The single line contains an integer *n* (1<=≤<=*n*<=≤<=1000) — the number that needs to be checked.
Output Specification:
In the only line print "YES" (without the quotes), if number *n* is almost lucky. Otherwise, print "NO" (without the quotes).
Demo Input:
['47\n', '16\n', '78\n']
Demo Output:
['YES\n', 'YES\n', 'NO\n']
Note:
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | ```python
// "COURTESY TO ALMIGHTY ALLAH"
#include<bits/stdc++.h>
using namespace std ;
bool islucky(int n){
string s = to_string(n) ;
for (int i=0 ; i<s.size();i++){
if (s[i] != '4' && s[i] != '7') return false ;
}
return true ;
}
bool isdiv(int n){
vector<int> v = {4,7,44,77,47,74,777,444,774,747,477,447,474,744} ;
for(int i:v){
if (n%i == 0) return true ;
}
return false ;
}
int main(){
int n ; cin >> n ;
if (islucky(n) || isdiv(n)) cout << "YES" ;
else cout << "NO" ;
return 0 ;
}
``` | -1 | |
69 | A | Young Physicist | PROGRAMMING | 1,000 | [
"implementation",
"math"
] | A. Young Physicist | 2 | 256 | A guy named Vasya attends the final grade of a high school. One day Vasya decided to watch a match of his favorite hockey team. And, as the boy loves hockey very much, even more than physics, he forgot to do the homework. Specifically, he forgot to complete his physics tasks. Next day the teacher got very angry at Vasya and decided to teach him a lesson. He gave the lazy student a seemingly easy task: You are given an idle body in space and the forces that affect it. The body can be considered as a material point with coordinates (0; 0; 0). Vasya had only to answer whether it is in equilibrium. "Piece of cake" — thought Vasya, we need only to check if the sum of all vectors is equal to 0. So, Vasya began to solve the problem. But later it turned out that there can be lots and lots of these forces, and Vasya can not cope without your help. Help him. Write a program that determines whether a body is idle or is moving by the given vectors of forces. | The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100), then follow *n* lines containing three integers each: the *x**i* coordinate, the *y**i* coordinate and the *z**i* coordinate of the force vector, applied to the body (<=-<=100<=≤<=*x**i*,<=*y**i*,<=*z**i*<=≤<=100). | Print the word "YES" if the body is in equilibrium, or the word "NO" if it is not. | [
"3\n4 1 7\n-2 4 -1\n1 -5 -3\n",
"3\n3 -1 7\n-5 2 -4\n2 -1 -3\n"
] | [
"NO",
"YES"
] | none | 500 | [
{
"input": "3\n4 1 7\n-2 4 -1\n1 -5 -3",
"output": "NO"
},
{
"input": "3\n3 -1 7\n-5 2 -4\n2 -1 -3",
"output": "YES"
},
{
"input": "10\n21 32 -46\n43 -35 21\n42 2 -50\n22 40 20\n-27 -9 38\n-4 1 1\n-40 6 -31\n-13 -2 34\n-21 34 -12\n-32 -29 41",
"output": "NO"
},
{
"input": "10... | 1,619,947,859 | 2,147,483,647 | Python 3 | OK | TESTS | 81 | 124 | 204,800 | n = int(input())
arr = [list(map(int,input().split())) for _ in range(n)]
sum,sum1,sum2 = 0,0,0
for i in range(len(arr)):
sum += arr[i][0]
sum1 += arr[i][1]
sum2 += arr[i][2]
if (sum == 0) and (sum1 == 0) and (sum2 == 0) :
print("YES")
else :
print("NO") | Title: Young Physicist
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A guy named Vasya attends the final grade of a high school. One day Vasya decided to watch a match of his favorite hockey team. And, as the boy loves hockey very much, even more than physics, he forgot to do the homework. Specifically, he forgot to complete his physics tasks. Next day the teacher got very angry at Vasya and decided to teach him a lesson. He gave the lazy student a seemingly easy task: You are given an idle body in space and the forces that affect it. The body can be considered as a material point with coordinates (0; 0; 0). Vasya had only to answer whether it is in equilibrium. "Piece of cake" — thought Vasya, we need only to check if the sum of all vectors is equal to 0. So, Vasya began to solve the problem. But later it turned out that there can be lots and lots of these forces, and Vasya can not cope without your help. Help him. Write a program that determines whether a body is idle or is moving by the given vectors of forces.
Input Specification:
The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100), then follow *n* lines containing three integers each: the *x**i* coordinate, the *y**i* coordinate and the *z**i* coordinate of the force vector, applied to the body (<=-<=100<=≤<=*x**i*,<=*y**i*,<=*z**i*<=≤<=100).
Output Specification:
Print the word "YES" if the body is in equilibrium, or the word "NO" if it is not.
Demo Input:
['3\n4 1 7\n-2 4 -1\n1 -5 -3\n', '3\n3 -1 7\n-5 2 -4\n2 -1 -3\n']
Demo Output:
['NO', 'YES']
Note:
none | ```python
n = int(input())
arr = [list(map(int,input().split())) for _ in range(n)]
sum,sum1,sum2 = 0,0,0
for i in range(len(arr)):
sum += arr[i][0]
sum1 += arr[i][1]
sum2 += arr[i][2]
if (sum == 0) and (sum1 == 0) and (sum2 == 0) :
print("YES")
else :
print("NO")
``` | 3.968619 |
610 | A | Pasha and Stick | PROGRAMMING | 1,000 | [
"combinatorics",
"math"
] | null | null | Pasha has a wooden stick of some positive integer length *n*. He wants to perform exactly three cuts to get four parts of the stick. Each part must have some positive integer length and the sum of these lengths will obviously be *n*.
Pasha likes rectangles but hates squares, so he wonders, how many ways are there to split a stick into four parts so that it's possible to form a rectangle using these parts, but is impossible to form a square.
Your task is to help Pasha and count the number of such ways. Two ways to cut the stick are considered distinct if there exists some integer *x*, such that the number of parts of length *x* in the first way differ from the number of parts of length *x* in the second way. | The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=2·109) — the length of Pasha's stick. | The output should contain a single integer — the number of ways to split Pasha's stick into four parts of positive integer length so that it's possible to make a rectangle by connecting the ends of these parts, but is impossible to form a square. | [
"6\n",
"20\n"
] | [
"1\n",
"4\n"
] | There is only one way to divide the stick in the first sample {1, 1, 2, 2}.
Four ways to divide the stick in the second sample are {1, 1, 9, 9}, {2, 2, 8, 8}, {3, 3, 7, 7} and {4, 4, 6, 6}. Note that {5, 5, 5, 5} doesn't work. | 500 | [
{
"input": "6",
"output": "1"
},
{
"input": "20",
"output": "4"
},
{
"input": "1",
"output": "0"
},
{
"input": "2",
"output": "0"
},
{
"input": "3",
"output": "0"
},
{
"input": "4",
"output": "0"
},
{
"input": "2000000000",
"output": "4... | 1,609,515,468 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 15 | 139 | 0 | n=int(input())
print(n//4-(not n%4)) | Title: Pasha and Stick
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Pasha has a wooden stick of some positive integer length *n*. He wants to perform exactly three cuts to get four parts of the stick. Each part must have some positive integer length and the sum of these lengths will obviously be *n*.
Pasha likes rectangles but hates squares, so he wonders, how many ways are there to split a stick into four parts so that it's possible to form a rectangle using these parts, but is impossible to form a square.
Your task is to help Pasha and count the number of such ways. Two ways to cut the stick are considered distinct if there exists some integer *x*, such that the number of parts of length *x* in the first way differ from the number of parts of length *x* in the second way.
Input Specification:
The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=2·109) — the length of Pasha's stick.
Output Specification:
The output should contain a single integer — the number of ways to split Pasha's stick into four parts of positive integer length so that it's possible to make a rectangle by connecting the ends of these parts, but is impossible to form a square.
Demo Input:
['6\n', '20\n']
Demo Output:
['1\n', '4\n']
Note:
There is only one way to divide the stick in the first sample {1, 1, 2, 2}.
Four ways to divide the stick in the second sample are {1, 1, 9, 9}, {2, 2, 8, 8}, {3, 3, 7, 7} and {4, 4, 6, 6}. Note that {5, 5, 5, 5} doesn't work. | ```python
n=int(input())
print(n//4-(not n%4))
``` | 0 | |
851 | B | Arpa and an exam about geometry | PROGRAMMING | 1,400 | [
"geometry",
"math"
] | null | null | Arpa is taking a geometry exam. Here is the last problem of the exam.
You are given three points *a*,<=*b*,<=*c*.
Find a point and an angle such that if we rotate the page around the point by the angle, the new position of *a* is the same as the old position of *b*, and the new position of *b* is the same as the old position of *c*.
Arpa is doubting if the problem has a solution or not (i.e. if there exists a point and an angle satisfying the condition). Help Arpa determine if the question has a solution or not. | The only line contains six integers *a**x*,<=*a**y*,<=*b**x*,<=*b**y*,<=*c**x*,<=*c**y* (|*a**x*|,<=|*a**y*|,<=|*b**x*|,<=|*b**y*|,<=|*c**x*|,<=|*c**y*|<=≤<=109). It's guaranteed that the points are distinct. | Print "Yes" if the problem has a solution, "No" otherwise.
You can print each letter in any case (upper or lower). | [
"0 1 1 1 1 0\n",
"1 1 0 0 1000 1000\n"
] | [
"Yes\n",
"No\n"
] | In the first sample test, rotate the page around (0.5, 0.5) by <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/9d845923f4d356a48d8ede337db0303821311f0c.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the second sample test, you can't find any solution. | 1,000 | [
{
"input": "0 1 1 1 1 0",
"output": "Yes"
},
{
"input": "1 1 0 0 1000 1000",
"output": "No"
},
{
"input": "1 0 2 0 3 0",
"output": "No"
},
{
"input": "3 4 0 0 4 3",
"output": "Yes"
},
{
"input": "-1000000000 1 0 0 1000000000 1",
"output": "Yes"
},
{
"i... | 1,504,540,461 | 4,761 | Python 3 | WRONG_ANSWER | PRETESTS | 3 | 46 | 0 | ax, ay, bx, by, cx, cy = map(int, input().split())
a = ax + ay
b = bx + by
c = cx + cy
if a + c == b:
print('Yes')
elif a == b and ax == cx:
print('Yes')
else:
print('No')
| Title: Arpa and an exam about geometry
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Arpa is taking a geometry exam. Here is the last problem of the exam.
You are given three points *a*,<=*b*,<=*c*.
Find a point and an angle such that if we rotate the page around the point by the angle, the new position of *a* is the same as the old position of *b*, and the new position of *b* is the same as the old position of *c*.
Arpa is doubting if the problem has a solution or not (i.e. if there exists a point and an angle satisfying the condition). Help Arpa determine if the question has a solution or not.
Input Specification:
The only line contains six integers *a**x*,<=*a**y*,<=*b**x*,<=*b**y*,<=*c**x*,<=*c**y* (|*a**x*|,<=|*a**y*|,<=|*b**x*|,<=|*b**y*|,<=|*c**x*|,<=|*c**y*|<=≤<=109). It's guaranteed that the points are distinct.
Output Specification:
Print "Yes" if the problem has a solution, "No" otherwise.
You can print each letter in any case (upper or lower).
Demo Input:
['0 1 1 1 1 0\n', '1 1 0 0 1000 1000\n']
Demo Output:
['Yes\n', 'No\n']
Note:
In the first sample test, rotate the page around (0.5, 0.5) by <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/9d845923f4d356a48d8ede337db0303821311f0c.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the second sample test, you can't find any solution. | ```python
ax, ay, bx, by, cx, cy = map(int, input().split())
a = ax + ay
b = bx + by
c = cx + cy
if a + c == b:
print('Yes')
elif a == b and ax == cx:
print('Yes')
else:
print('No')
``` | 0 | |
276 | C | Little Girl and Maximum Sum | PROGRAMMING | 1,500 | [
"data structures",
"greedy",
"implementation",
"sortings"
] | null | null | The little girl loves the problems on array queries very much.
One day she came across a rather well-known problem: you've got an array of $n$ elements (the elements of the array are indexed starting from 1); also, there are $q$ queries, each one is defined by a pair of integers $l_i$, $r_i$ $(1 \le l_i \le r_i \le n)$. You need to find for each query the sum of elements of the array with indexes from $l_i$ to $r_i$, inclusive.
The little girl found the problem rather boring. She decided to reorder the array elements before replying to the queries in a way that makes the sum of query replies maximum possible. Your task is to find the value of this maximum sum. | The first line contains two space-separated integers $n$ ($1 \le n \le 2\cdot10^5$) and $q$ ($1 \le q \le 2\cdot10^5$) — the number of elements in the array and the number of queries, correspondingly.
The next line contains $n$ space-separated integers $a_i$ ($1 \le a_i \le 2\cdot10^5$) — the array elements.
Each of the following $q$ lines contains two space-separated integers $l_i$ and $r_i$ ($1 \le l_i \le r_i \le n$) — the $i$-th query. | In a single line print, a single integer — the maximum sum of query replies after the array elements are reordered.
Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier. | [
"3 3\n5 3 2\n1 2\n2 3\n1 3\n",
"5 3\n5 2 4 1 3\n1 5\n2 3\n2 3\n"
] | [
"25\n",
"33\n"
] | none | 1,500 | [
{
"input": "3 3\n5 3 2\n1 2\n2 3\n1 3",
"output": "25"
},
{
"input": "5 3\n5 2 4 1 3\n1 5\n2 3\n2 3",
"output": "33"
},
{
"input": "34 21\n23 38 16 49 44 50 48 34 33 19 18 31 11 15 20 47 44 30 39 33 45 46 1 13 27 16 31 36 17 23 38 5 30 16\n8 16\n14 27\n8 26\n1 8\n5 6\n23 28\n4 33\n13 30\... | 1,689,794,579 | 2,147,483,647 | PyPy 3-64 | TIME_LIMIT_EXCEEDED | TESTS | 6 | 1,000 | 26,112,000 | n,m=map(int,input().split())
v=list(map(int,input().split()))
v.sort(reverse=True)
freq=[]
for i in range(n+1):
freq.append(0)
for i in range(m):
l,r=map(int,input().split())
freq[l-1]+=1
freq[r]-=1
for i in range(1,n+1):
freq[i]+=freq[i-1]
freq.sort(reverse=True)
ans=0
for i in range(n):
ans+=(freq[i]*v[i])
print(ans) | Title: Little Girl and Maximum Sum
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The little girl loves the problems on array queries very much.
One day she came across a rather well-known problem: you've got an array of $n$ elements (the elements of the array are indexed starting from 1); also, there are $q$ queries, each one is defined by a pair of integers $l_i$, $r_i$ $(1 \le l_i \le r_i \le n)$. You need to find for each query the sum of elements of the array with indexes from $l_i$ to $r_i$, inclusive.
The little girl found the problem rather boring. She decided to reorder the array elements before replying to the queries in a way that makes the sum of query replies maximum possible. Your task is to find the value of this maximum sum.
Input Specification:
The first line contains two space-separated integers $n$ ($1 \le n \le 2\cdot10^5$) and $q$ ($1 \le q \le 2\cdot10^5$) — the number of elements in the array and the number of queries, correspondingly.
The next line contains $n$ space-separated integers $a_i$ ($1 \le a_i \le 2\cdot10^5$) — the array elements.
Each of the following $q$ lines contains two space-separated integers $l_i$ and $r_i$ ($1 \le l_i \le r_i \le n$) — the $i$-th query.
Output Specification:
In a single line print, a single integer — the maximum sum of query replies after the array elements are reordered.
Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Demo Input:
['3 3\n5 3 2\n1 2\n2 3\n1 3\n', '5 3\n5 2 4 1 3\n1 5\n2 3\n2 3\n']
Demo Output:
['25\n', '33\n']
Note:
none | ```python
n,m=map(int,input().split())
v=list(map(int,input().split()))
v.sort(reverse=True)
freq=[]
for i in range(n+1):
freq.append(0)
for i in range(m):
l,r=map(int,input().split())
freq[l-1]+=1
freq[r]-=1
for i in range(1,n+1):
freq[i]+=freq[i-1]
freq.sort(reverse=True)
ans=0
for i in range(n):
ans+=(freq[i]*v[i])
print(ans)
``` | 0 | |
114 | A | Cifera | PROGRAMMING | 1,000 | [
"math"
] | null | null | When Petya went to school, he got interested in large numbers and what they were called in ancient times. For instance, he learned that the Russian word "tma" (which now means "too much to be counted") used to stand for a thousand and "tma tmyschaya" (which literally means "the tma of tmas") used to stand for a million.
Petya wanted to modernize the words we use for numbers and invented a word petricium that represents number *k*. Moreover, petricium la petricium stands for number *k*2, petricium la petricium la petricium stands for *k*3 and so on. All numbers of this form are called petriciumus cifera, and the number's importance is the number of articles la in its title.
Petya's invention brought on a challenge that needed to be solved quickly: does some number *l* belong to the set petriciumus cifera? As Petya is a very busy schoolboy he needs to automate the process, he asked you to solve it. | The first input line contains integer number *k*, the second line contains integer number *l* (2<=≤<=*k*,<=*l*<=≤<=231<=-<=1). | You should print in the first line of the output "YES", if the number belongs to the set petriciumus cifera and otherwise print "NO". If the number belongs to the set, then print on the seconds line the only number — the importance of number *l*. | [
"5\n25\n",
"3\n8\n"
] | [
"YES\n1\n",
"NO\n"
] | none | 500 | [
{
"input": "5\n25",
"output": "YES\n1"
},
{
"input": "3\n8",
"output": "NO"
},
{
"input": "123\n123",
"output": "YES\n0"
},
{
"input": "99\n970300",
"output": "NO"
},
{
"input": "1000\n6666666",
"output": "NO"
},
{
"input": "59\n3571",
"output": "N... | 1,438,377,615 | 2,147,483,647 | Python 3 | OK | TESTS | 64 | 124 | 0 | k = int(input())
m = int(input())
left = 1
right = 50
while right-left > 1:
middle = (left+right) // 2
if k**middle <= m:
left = middle
else:
right = middle
if k**left == m:
print('YES\n{}'.format(left-1))
else:
print('NO') | Title: Cifera
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
When Petya went to school, he got interested in large numbers and what they were called in ancient times. For instance, he learned that the Russian word "tma" (which now means "too much to be counted") used to stand for a thousand and "tma tmyschaya" (which literally means "the tma of tmas") used to stand for a million.
Petya wanted to modernize the words we use for numbers and invented a word petricium that represents number *k*. Moreover, petricium la petricium stands for number *k*2, petricium la petricium la petricium stands for *k*3 and so on. All numbers of this form are called petriciumus cifera, and the number's importance is the number of articles la in its title.
Petya's invention brought on a challenge that needed to be solved quickly: does some number *l* belong to the set petriciumus cifera? As Petya is a very busy schoolboy he needs to automate the process, he asked you to solve it.
Input Specification:
The first input line contains integer number *k*, the second line contains integer number *l* (2<=≤<=*k*,<=*l*<=≤<=231<=-<=1).
Output Specification:
You should print in the first line of the output "YES", if the number belongs to the set petriciumus cifera and otherwise print "NO". If the number belongs to the set, then print on the seconds line the only number — the importance of number *l*.
Demo Input:
['5\n25\n', '3\n8\n']
Demo Output:
['YES\n1\n', 'NO\n']
Note:
none | ```python
k = int(input())
m = int(input())
left = 1
right = 50
while right-left > 1:
middle = (left+right) // 2
if k**middle <= m:
left = middle
else:
right = middle
if k**left == m:
print('YES\n{}'.format(left-1))
else:
print('NO')
``` | 3 | |
550 | A | Two Substrings | PROGRAMMING | 1,500 | [
"brute force",
"dp",
"greedy",
"implementation",
"strings"
] | null | null | You are given string *s*. Your task is to determine if the given string *s* contains two non-overlapping substrings "AB" and "BA" (the substrings can go in any order). | The only line of input contains a string *s* of length between 1 and 105 consisting of uppercase Latin letters. | Print "YES" (without the quotes), if string *s* contains two non-overlapping substrings "AB" and "BA", and "NO" otherwise. | [
"ABA\n",
"BACFAB\n",
"AXBYBXA\n"
] | [
"NO\n",
"YES\n",
"NO\n"
] | In the first sample test, despite the fact that there are substrings "AB" and "BA", their occurrences overlap, so the answer is "NO".
In the second sample test there are the following occurrences of the substrings: BACFAB.
In the third sample test there is no substring "AB" nor substring "BA". | 1,000 | [
{
"input": "ABA",
"output": "NO"
},
{
"input": "BACFAB",
"output": "YES"
},
{
"input": "AXBYBXA",
"output": "NO"
},
{
"input": "ABABAB",
"output": "YES"
},
{
"input": "BBBBBBBBBB",
"output": "NO"
},
{
"input": "ABBA",
"output": "YES"
},
{
"... | 1,691,255,158 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 46 | 0 | x=str(input())
b=x.split("AB")
# print(b)
if len(b)==1:
print("NO")
else:
check=0
if b[0]=="": #take the second
check=+1
elif b[1]=="": #take the first
check+=2
if check==1:
strings=""
strings+=b[1]
BA_split=strings.split("BA")
if len(BA_split)>1:
print("YES")
else:
print("NO")
if check==2:
strings=""
strings+=b[0]
BA_split=strings.split("BA")
if len(BA_split)>1:
print("YES")
else:
print("NO") | Title: Two Substrings
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given string *s*. Your task is to determine if the given string *s* contains two non-overlapping substrings "AB" and "BA" (the substrings can go in any order).
Input Specification:
The only line of input contains a string *s* of length between 1 and 105 consisting of uppercase Latin letters.
Output Specification:
Print "YES" (without the quotes), if string *s* contains two non-overlapping substrings "AB" and "BA", and "NO" otherwise.
Demo Input:
['ABA\n', 'BACFAB\n', 'AXBYBXA\n']
Demo Output:
['NO\n', 'YES\n', 'NO\n']
Note:
In the first sample test, despite the fact that there are substrings "AB" and "BA", their occurrences overlap, so the answer is "NO".
In the second sample test there are the following occurrences of the substrings: BACFAB.
In the third sample test there is no substring "AB" nor substring "BA". | ```python
x=str(input())
b=x.split("AB")
# print(b)
if len(b)==1:
print("NO")
else:
check=0
if b[0]=="": #take the second
check=+1
elif b[1]=="": #take the first
check+=2
if check==1:
strings=""
strings+=b[1]
BA_split=strings.split("BA")
if len(BA_split)>1:
print("YES")
else:
print("NO")
if check==2:
strings=""
strings+=b[0]
BA_split=strings.split("BA")
if len(BA_split)>1:
print("YES")
else:
print("NO")
``` | 0 | |
133 | A | HQ9+ | PROGRAMMING | 900 | [
"implementation"
] | null | null | HQ9+ is a joke programming language which has only four one-character instructions:
- "H" prints "Hello, World!",- "Q" prints the source code of the program itself,- "9" prints the lyrics of "99 Bottles of Beer" song, - "+" increments the value stored in the internal accumulator.
Instructions "H" and "Q" are case-sensitive and must be uppercase. The characters of the program which are not instructions are ignored.
You are given a program written in HQ9+. You have to figure out whether executing this program will produce any output. | The input will consist of a single line *p* which will give a program in HQ9+. String *p* will contain between 1 and 100 characters, inclusive. ASCII-code of each character of *p* will be between 33 (exclamation mark) and 126 (tilde), inclusive. | Output "YES", if executing the program will produce any output, and "NO" otherwise. | [
"Hi!\n",
"Codeforces\n"
] | [
"YES\n",
"NO\n"
] | In the first case the program contains only one instruction — "H", which prints "Hello, World!".
In the second case none of the program characters are language instructions. | 500 | [
{
"input": "Hi!",
"output": "YES"
},
{
"input": "Codeforces",
"output": "NO"
},
{
"input": "a+b=c",
"output": "NO"
},
{
"input": "hq-lowercase",
"output": "NO"
},
{
"input": "Q",
"output": "YES"
},
{
"input": "9",
"output": "YES"
},
{
"inpu... | 1,690,277,171 | 2,147,483,647 | Python 3 | OK | TESTS | 85 | 92 | 0 | a = input()
if any(i in 'HQ9' for i in a):
print("YES")
else:
print("NO")
| Title: HQ9+
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
HQ9+ is a joke programming language which has only four one-character instructions:
- "H" prints "Hello, World!",- "Q" prints the source code of the program itself,- "9" prints the lyrics of "99 Bottles of Beer" song, - "+" increments the value stored in the internal accumulator.
Instructions "H" and "Q" are case-sensitive and must be uppercase. The characters of the program which are not instructions are ignored.
You are given a program written in HQ9+. You have to figure out whether executing this program will produce any output.
Input Specification:
The input will consist of a single line *p* which will give a program in HQ9+. String *p* will contain between 1 and 100 characters, inclusive. ASCII-code of each character of *p* will be between 33 (exclamation mark) and 126 (tilde), inclusive.
Output Specification:
Output "YES", if executing the program will produce any output, and "NO" otherwise.
Demo Input:
['Hi!\n', 'Codeforces\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first case the program contains only one instruction — "H", which prints "Hello, World!".
In the second case none of the program characters are language instructions. | ```python
a = input()
if any(i in 'HQ9' for i in a):
print("YES")
else:
print("NO")
``` | 3 | |
41 | A | Translation | PROGRAMMING | 800 | [
"implementation",
"strings"
] | A. Translation | 2 | 256 | The translation from the Berland language into the Birland language is not an easy task. Those languages are very similar: a berlandish word differs from a birlandish word with the same meaning a little: it is spelled (and pronounced) reversely. For example, a Berlandish word code corresponds to a Birlandish word edoc. However, it's easy to make a mistake during the «translation». Vasya translated word *s* from Berlandish into Birlandish as *t*. Help him: find out if he translated the word correctly. | The first line contains word *s*, the second line contains word *t*. The words consist of lowercase Latin letters. The input data do not consist unnecessary spaces. The words are not empty and their lengths do not exceed 100 symbols. | If the word *t* is a word *s*, written reversely, print YES, otherwise print NO. | [
"code\nedoc\n",
"abb\naba\n",
"code\ncode\n"
] | [
"YES\n",
"NO\n",
"NO\n"
] | none | 500 | [
{
"input": "code\nedoc",
"output": "YES"
},
{
"input": "abb\naba",
"output": "NO"
},
{
"input": "code\ncode",
"output": "NO"
},
{
"input": "abacaba\nabacaba",
"output": "YES"
},
{
"input": "q\nq",
"output": "YES"
},
{
"input": "asrgdfngfnmfgnhweratgjkk... | 1,661,110,519 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 0 | a = input()
b = input()
c = a[::-1]
if c == b:
print('Yes')
elif a != b:
print('No') | Title: Translation
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
The translation from the Berland language into the Birland language is not an easy task. Those languages are very similar: a berlandish word differs from a birlandish word with the same meaning a little: it is spelled (and pronounced) reversely. For example, a Berlandish word code corresponds to a Birlandish word edoc. However, it's easy to make a mistake during the «translation». Vasya translated word *s* from Berlandish into Birlandish as *t*. Help him: find out if he translated the word correctly.
Input Specification:
The first line contains word *s*, the second line contains word *t*. The words consist of lowercase Latin letters. The input data do not consist unnecessary spaces. The words are not empty and their lengths do not exceed 100 symbols.
Output Specification:
If the word *t* is a word *s*, written reversely, print YES, otherwise print NO.
Demo Input:
['code\nedoc\n', 'abb\naba\n', 'code\ncode\n']
Demo Output:
['YES\n', 'NO\n', 'NO\n']
Note:
none | ```python
a = input()
b = input()
c = a[::-1]
if c == b:
print('Yes')
elif a != b:
print('No')
``` | 0 |
315 | A | Sereja and Bottles | PROGRAMMING | 1,400 | [
"brute force"
] | null | null | Sereja and his friends went to a picnic. The guys had *n* soda bottles just for it. Sereja forgot the bottle opener as usual, so the guys had to come up with another way to open bottles.
Sereja knows that the *i*-th bottle is from brand *a**i*, besides, you can use it to open other bottles of brand *b**i*. You can use one bottle to open multiple other bottles. Sereja can open bottle with opened bottle or closed bottle.
Knowing this, Sereja wants to find out the number of bottles they've got that they won't be able to open in any way. Help him and find this number. | The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of bottles. The next *n* lines contain the bottles' description. The *i*-th line contains two integers *a**i*,<=*b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=1000) — the description of the *i*-th bottle. | In a single line print a single integer — the answer to the problem. | [
"4\n1 1\n2 2\n3 3\n4 4\n",
"4\n1 2\n2 3\n3 4\n4 1\n"
] | [
"4\n",
"0\n"
] | none | 500 | [
{
"input": "4\n1 1\n2 2\n3 3\n4 4",
"output": "4"
},
{
"input": "4\n1 2\n2 3\n3 4\n4 1",
"output": "0"
},
{
"input": "3\n2 828\n4 392\n4 903",
"output": "3"
},
{
"input": "4\n2 3\n1 772\n3 870\n3 668",
"output": "2"
},
{
"input": "5\n1 4\n6 6\n4 3\n3 4\n4 758",
... | 1,575,105,914 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 3 | 310 | 0 | MOD = 1000000007
ii = lambda : int(input())
si = lambda : input()
dgl = lambda : list(map(int, input()))
f = lambda : map(int, input().split())
il = lambda : list(map(int, input().split()))
ls = lambda : list(input())
n=ii()
l1, l2 = [], []
lvis=[1]*n
for _ in range(n):
a, b = f()
l1.append(a)
l2.append(b)
for i in range(n):
for j in range(n):
if l2[i]==l1[j] and i!=j:
lvis[i]=0
print(sum(lvis)) | Title: Sereja and Bottles
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Sereja and his friends went to a picnic. The guys had *n* soda bottles just for it. Sereja forgot the bottle opener as usual, so the guys had to come up with another way to open bottles.
Sereja knows that the *i*-th bottle is from brand *a**i*, besides, you can use it to open other bottles of brand *b**i*. You can use one bottle to open multiple other bottles. Sereja can open bottle with opened bottle or closed bottle.
Knowing this, Sereja wants to find out the number of bottles they've got that they won't be able to open in any way. Help him and find this number.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of bottles. The next *n* lines contain the bottles' description. The *i*-th line contains two integers *a**i*,<=*b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=1000) — the description of the *i*-th bottle.
Output Specification:
In a single line print a single integer — the answer to the problem.
Demo Input:
['4\n1 1\n2 2\n3 3\n4 4\n', '4\n1 2\n2 3\n3 4\n4 1\n']
Demo Output:
['4\n', '0\n']
Note:
none | ```python
MOD = 1000000007
ii = lambda : int(input())
si = lambda : input()
dgl = lambda : list(map(int, input()))
f = lambda : map(int, input().split())
il = lambda : list(map(int, input().split()))
ls = lambda : list(input())
n=ii()
l1, l2 = [], []
lvis=[1]*n
for _ in range(n):
a, b = f()
l1.append(a)
l2.append(b)
for i in range(n):
for j in range(n):
if l2[i]==l1[j] and i!=j:
lvis[i]=0
print(sum(lvis))
``` | 0 | |
742 | B | Arpa’s obvious problem and Mehrdad’s terrible solution | PROGRAMMING | 1,500 | [
"brute force",
"math",
"number theory"
] | null | null | There are some beautiful girls in Arpa’s land as mentioned before.
Once Arpa came up with an obvious problem:
Given an array and a number *x*, count the number of pairs of indices *i*,<=*j* (1<=≤<=*i*<=<<=*j*<=≤<=*n*) such that , where is bitwise xor operation (see notes for explanation).
Immediately, Mehrdad discovered a terrible solution that nobody trusted. Now Arpa needs your help to implement the solution to that problem. | First line contains two integers *n* and *x* (1<=≤<=*n*<=≤<=105,<=0<=≤<=*x*<=≤<=105) — the number of elements in the array and the integer *x*.
Second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=105) — the elements of the array. | Print a single integer: the answer to the problem. | [
"2 3\n1 2\n",
"6 1\n5 1 2 3 4 1\n"
] | [
"1",
"2"
] | In the first sample there is only one pair of *i* = 1 and *j* = 2. <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/bec9071ce5b1039982fe0ae476cd31528ddfa2f3.png" style="max-width: 100.0%;max-height: 100.0%;"/> so the answer is 1.
In the second sample the only two pairs are *i* = 3, *j* = 4 (since <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/3701990d023d19c5da0b315b5057d572ec11e4fd.png" style="max-width: 100.0%;max-height: 100.0%;"/>) and *i* = 1, *j* = 5 (since <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/8c96223ca88621240a5ee6e1498acb7e4ce0eb44.png" style="max-width: 100.0%;max-height: 100.0%;"/>).
A bitwise xor takes two bit integers of equal length and performs the logical xor operation on each pair of corresponding bits. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1. You can read more about bitwise xor operation here: [https://en.wikipedia.org/wiki/Bitwise_operation#XOR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR). | 1,000 | [
{
"input": "2 3\n1 2",
"output": "1"
},
{
"input": "6 1\n5 1 2 3 4 1",
"output": "2"
},
{
"input": "38 101\n395 5 339 366 409 150 400 180 348 200 409 20 182 409 208 74 176 401 459 158 282 207 241 406 33 484 65 245 363 337 204 197 445 445 72 435 126 423",
"output": "0"
},
{
"i... | 1,673,609,242 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 10 | 1,000 | 0 | n, x = map(int, input().split())
s = input().split()
counter = 0
for i in range(n):
for j in range(i + 1, n):
if int(s[i]) ^ int(s[j]) == x:
counter += 1
print(counter) | Title: Arpa’s obvious problem and Mehrdad’s terrible solution
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are some beautiful girls in Arpa’s land as mentioned before.
Once Arpa came up with an obvious problem:
Given an array and a number *x*, count the number of pairs of indices *i*,<=*j* (1<=≤<=*i*<=<<=*j*<=≤<=*n*) such that , where is bitwise xor operation (see notes for explanation).
Immediately, Mehrdad discovered a terrible solution that nobody trusted. Now Arpa needs your help to implement the solution to that problem.
Input Specification:
First line contains two integers *n* and *x* (1<=≤<=*n*<=≤<=105,<=0<=≤<=*x*<=≤<=105) — the number of elements in the array and the integer *x*.
Second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=105) — the elements of the array.
Output Specification:
Print a single integer: the answer to the problem.
Demo Input:
['2 3\n1 2\n', '6 1\n5 1 2 3 4 1\n']
Demo Output:
['1', '2']
Note:
In the first sample there is only one pair of *i* = 1 and *j* = 2. <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/bec9071ce5b1039982fe0ae476cd31528ddfa2f3.png" style="max-width: 100.0%;max-height: 100.0%;"/> so the answer is 1.
In the second sample the only two pairs are *i* = 3, *j* = 4 (since <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/3701990d023d19c5da0b315b5057d572ec11e4fd.png" style="max-width: 100.0%;max-height: 100.0%;"/>) and *i* = 1, *j* = 5 (since <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/8c96223ca88621240a5ee6e1498acb7e4ce0eb44.png" style="max-width: 100.0%;max-height: 100.0%;"/>).
A bitwise xor takes two bit integers of equal length and performs the logical xor operation on each pair of corresponding bits. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1. You can read more about bitwise xor operation here: [https://en.wikipedia.org/wiki/Bitwise_operation#XOR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR). | ```python
n, x = map(int, input().split())
s = input().split()
counter = 0
for i in range(n):
for j in range(i + 1, n):
if int(s[i]) ^ int(s[j]) == x:
counter += 1
print(counter)
``` | 0 | |
266 | B | Queue at the School | PROGRAMMING | 800 | [
"constructive algorithms",
"graph matchings",
"implementation",
"shortest paths"
] | null | null | During the break the schoolchildren, boys and girls, formed a queue of *n* people in the canteen. Initially the children stood in the order they entered the canteen. However, after a while the boys started feeling awkward for standing in front of the girls in the queue and they started letting the girls move forward each second.
Let's describe the process more precisely. Let's say that the positions in the queue are sequentially numbered by integers from 1 to *n*, at that the person in the position number 1 is served first. Then, if at time *x* a boy stands on the *i*-th position and a girl stands on the (*i*<=+<=1)-th position, then at time *x*<=+<=1 the *i*-th position will have a girl and the (*i*<=+<=1)-th position will have a boy. The time is given in seconds.
You've got the initial position of the children, at the initial moment of time. Determine the way the queue is going to look after *t* seconds. | The first line contains two integers *n* and *t* (1<=≤<=*n*,<=*t*<=≤<=50), which represent the number of children in the queue and the time after which the queue will transform into the arrangement you need to find.
The next line contains string *s*, which represents the schoolchildren's initial arrangement. If the *i*-th position in the queue contains a boy, then the *i*-th character of string *s* equals "B", otherwise the *i*-th character equals "G". | Print string *a*, which describes the arrangement after *t* seconds. If the *i*-th position has a boy after the needed time, then the *i*-th character *a* must equal "B", otherwise it must equal "G". | [
"5 1\nBGGBG\n",
"5 2\nBGGBG\n",
"4 1\nGGGB\n"
] | [
"GBGGB\n",
"GGBGB\n",
"GGGB\n"
] | none | 500 | [
{
"input": "5 1\nBGGBG",
"output": "GBGGB"
},
{
"input": "5 2\nBGGBG",
"output": "GGBGB"
},
{
"input": "4 1\nGGGB",
"output": "GGGB"
},
{
"input": "2 1\nBB",
"output": "BB"
},
{
"input": "2 1\nBG",
"output": "GB"
},
{
"input": "6 2\nBBGBBG",
"outpu... | 1,695,045,617 | 2,147,483,647 | Python 3 | OK | TESTS | 44 | 92 | 0 | def change(x):
y = {}
for i in range(n):
if i < n-1 and x[i] == 'B' and x[i+1] == 'G':
y[i] = 'G'
y[i+1] = 'B'
elif i > 0 and x[i-1] == 'B' and x[i] == 'G':
continue
else:
y[i] = x[i]
return y
n,t = map(int,input().split())
st = input()
dic = {}
for i in range(n):
dic[i] = st[i]
for i in range(t):
dic = change(dic)
out = ''
for i in range(n):
out += dic[i]
print(out)
| Title: Queue at the School
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
During the break the schoolchildren, boys and girls, formed a queue of *n* people in the canteen. Initially the children stood in the order they entered the canteen. However, after a while the boys started feeling awkward for standing in front of the girls in the queue and they started letting the girls move forward each second.
Let's describe the process more precisely. Let's say that the positions in the queue are sequentially numbered by integers from 1 to *n*, at that the person in the position number 1 is served first. Then, if at time *x* a boy stands on the *i*-th position and a girl stands on the (*i*<=+<=1)-th position, then at time *x*<=+<=1 the *i*-th position will have a girl and the (*i*<=+<=1)-th position will have a boy. The time is given in seconds.
You've got the initial position of the children, at the initial moment of time. Determine the way the queue is going to look after *t* seconds.
Input Specification:
The first line contains two integers *n* and *t* (1<=≤<=*n*,<=*t*<=≤<=50), which represent the number of children in the queue and the time after which the queue will transform into the arrangement you need to find.
The next line contains string *s*, which represents the schoolchildren's initial arrangement. If the *i*-th position in the queue contains a boy, then the *i*-th character of string *s* equals "B", otherwise the *i*-th character equals "G".
Output Specification:
Print string *a*, which describes the arrangement after *t* seconds. If the *i*-th position has a boy after the needed time, then the *i*-th character *a* must equal "B", otherwise it must equal "G".
Demo Input:
['5 1\nBGGBG\n', '5 2\nBGGBG\n', '4 1\nGGGB\n']
Demo Output:
['GBGGB\n', 'GGBGB\n', 'GGGB\n']
Note:
none | ```python
def change(x):
y = {}
for i in range(n):
if i < n-1 and x[i] == 'B' and x[i+1] == 'G':
y[i] = 'G'
y[i+1] = 'B'
elif i > 0 and x[i-1] == 'B' and x[i] == 'G':
continue
else:
y[i] = x[i]
return y
n,t = map(int,input().split())
st = input()
dic = {}
for i in range(n):
dic[i] = st[i]
for i in range(t):
dic = change(dic)
out = ''
for i in range(n):
out += dic[i]
print(out)
``` | 3 | |
540 | C | Ice Cave | PROGRAMMING | 2,000 | [
"dfs and similar"
] | null | null | You play a computer game. Your character stands on some level of a multilevel ice cave. In order to move on forward, you need to descend one level lower and the only way to do this is to fall through the ice.
The level of the cave where you are is a rectangular square grid of *n* rows and *m* columns. Each cell consists either from intact or from cracked ice. From each cell you can move to cells that are side-adjacent with yours (due to some limitations of the game engine you cannot make jumps on the same place, i.e. jump from a cell to itself). If you move to the cell with cracked ice, then your character falls down through it and if you move to the cell with intact ice, then the ice on this cell becomes cracked.
Let's number the rows with integers from 1 to *n* from top to bottom and the columns with integers from 1 to *m* from left to right. Let's denote a cell on the intersection of the *r*-th row and the *c*-th column as (*r*,<=*c*).
You are staying in the cell (*r*1,<=*c*1) and this cell is cracked because you've just fallen here from a higher level. You need to fall down through the cell (*r*2,<=*c*2) since the exit to the next level is there. Can you do this? | The first line contains two integers, *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=500) — the number of rows and columns in the cave description.
Each of the next *n* lines describes the initial state of the level of the cave, each line consists of *m* characters "." (that is, intact ice) and "X" (cracked ice).
The next line contains two integers, *r*1 and *c*1 (1<=≤<=*r*1<=≤<=*n*,<=1<=≤<=*c*1<=≤<=*m*) — your initial coordinates. It is guaranteed that the description of the cave contains character 'X' in cell (*r*1,<=*c*1), that is, the ice on the starting cell is initially cracked.
The next line contains two integers *r*2 and *c*2 (1<=≤<=*r*2<=≤<=*n*,<=1<=≤<=*c*2<=≤<=*m*) — the coordinates of the cell through which you need to fall. The final cell may coincide with the starting one. | If you can reach the destination, print 'YES', otherwise print 'NO'. | [
"4 6\nX...XX\n...XX.\n.X..X.\n......\n1 6\n2 2\n",
"5 4\n.X..\n...X\nX.X.\n....\n.XX.\n5 3\n1 1\n",
"4 7\n..X.XX.\n.XX..X.\nX...X..\nX......\n2 2\n1 6\n"
] | [
"YES\n",
"NO\n",
"YES\n"
] | In the first sample test one possible path is:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c61f56de718beea14935ccdc85ae2c4ad45c1454.png" style="max-width: 100.0%;max-height: 100.0%;"/>
After the first visit of cell (2, 2) the ice on it cracks and when you step there for the second time, your character falls through the ice as intended. | 1,500 | [
{
"input": "4 6\nX...XX\n...XX.\n.X..X.\n......\n1 6\n2 2",
"output": "YES"
},
{
"input": "5 4\n.X..\n...X\nX.X.\n....\n.XX.\n5 3\n1 1",
"output": "NO"
},
{
"input": "4 7\n..X.XX.\n.XX..X.\nX...X..\nX......\n2 2\n1 6",
"output": "YES"
},
{
"input": "5 3\n.XX\n...\n.X.\n.X.\n.... | 1,656,231,855 | 2,147,483,647 | PyPy 3 | RUNTIME_ERROR | TESTS | 3 | 93 | 19,865,600 | from collections import deque
n,m=map(int,input().split())
cave=[[] for i in range(n+1)]
for i in range(1,n+1):
cave[i]=[0]+list(input())
r1,c1=map(int,input().split())
r2,c2=map(int,input().split())
q=deque([[r1,c1]])
ans=False
move=[(-1,0),(0,-1),(1,0),(0,1)]
visited=[[False]*(m+1) for i in range(n+1)]
while q:
u,v=q.popleft()
visited[u][v] = True
for x,y in move:
if (u+x,v+y)==(r2,c2):
ans=True
break
if 1<=u+x<=n and 1<=v+y<=m and cave[u+x][v+y]=='.' and not visited[u+x][v+y]:
q.append([u+x,v+y])
if ans:
if cave[r2][c2]=='X':
print('YES')
exit()
else:
count=0
for x,y in move:
if 1<=r2+x<=n and 1<=c2+y<=m and (cave[c2+x][c2+y]=='.' or (r2+x,c2+y)==(r1,c1)):
count+=1
if count>=2:
print('YES')
exit()
else:
print('NO')
exit()
else:
print('NO')
exit() | Title: Ice Cave
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You play a computer game. Your character stands on some level of a multilevel ice cave. In order to move on forward, you need to descend one level lower and the only way to do this is to fall through the ice.
The level of the cave where you are is a rectangular square grid of *n* rows and *m* columns. Each cell consists either from intact or from cracked ice. From each cell you can move to cells that are side-adjacent with yours (due to some limitations of the game engine you cannot make jumps on the same place, i.e. jump from a cell to itself). If you move to the cell with cracked ice, then your character falls down through it and if you move to the cell with intact ice, then the ice on this cell becomes cracked.
Let's number the rows with integers from 1 to *n* from top to bottom and the columns with integers from 1 to *m* from left to right. Let's denote a cell on the intersection of the *r*-th row and the *c*-th column as (*r*,<=*c*).
You are staying in the cell (*r*1,<=*c*1) and this cell is cracked because you've just fallen here from a higher level. You need to fall down through the cell (*r*2,<=*c*2) since the exit to the next level is there. Can you do this?
Input Specification:
The first line contains two integers, *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=500) — the number of rows and columns in the cave description.
Each of the next *n* lines describes the initial state of the level of the cave, each line consists of *m* characters "." (that is, intact ice) and "X" (cracked ice).
The next line contains two integers, *r*1 and *c*1 (1<=≤<=*r*1<=≤<=*n*,<=1<=≤<=*c*1<=≤<=*m*) — your initial coordinates. It is guaranteed that the description of the cave contains character 'X' in cell (*r*1,<=*c*1), that is, the ice on the starting cell is initially cracked.
The next line contains two integers *r*2 and *c*2 (1<=≤<=*r*2<=≤<=*n*,<=1<=≤<=*c*2<=≤<=*m*) — the coordinates of the cell through which you need to fall. The final cell may coincide with the starting one.
Output Specification:
If you can reach the destination, print 'YES', otherwise print 'NO'.
Demo Input:
['4 6\nX...XX\n...XX.\n.X..X.\n......\n1 6\n2 2\n', '5 4\n.X..\n...X\nX.X.\n....\n.XX.\n5 3\n1 1\n', '4 7\n..X.XX.\n.XX..X.\nX...X..\nX......\n2 2\n1 6\n']
Demo Output:
['YES\n', 'NO\n', 'YES\n']
Note:
In the first sample test one possible path is:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c61f56de718beea14935ccdc85ae2c4ad45c1454.png" style="max-width: 100.0%;max-height: 100.0%;"/>
After the first visit of cell (2, 2) the ice on it cracks and when you step there for the second time, your character falls through the ice as intended. | ```python
from collections import deque
n,m=map(int,input().split())
cave=[[] for i in range(n+1)]
for i in range(1,n+1):
cave[i]=[0]+list(input())
r1,c1=map(int,input().split())
r2,c2=map(int,input().split())
q=deque([[r1,c1]])
ans=False
move=[(-1,0),(0,-1),(1,0),(0,1)]
visited=[[False]*(m+1) for i in range(n+1)]
while q:
u,v=q.popleft()
visited[u][v] = True
for x,y in move:
if (u+x,v+y)==(r2,c2):
ans=True
break
if 1<=u+x<=n and 1<=v+y<=m and cave[u+x][v+y]=='.' and not visited[u+x][v+y]:
q.append([u+x,v+y])
if ans:
if cave[r2][c2]=='X':
print('YES')
exit()
else:
count=0
for x,y in move:
if 1<=r2+x<=n and 1<=c2+y<=m and (cave[c2+x][c2+y]=='.' or (r2+x,c2+y)==(r1,c1)):
count+=1
if count>=2:
print('YES')
exit()
else:
print('NO')
exit()
else:
print('NO')
exit()
``` | -1 | |
50 | A | Domino piling | PROGRAMMING | 800 | [
"greedy",
"math"
] | A. Domino piling | 2 | 256 | You are given a rectangular board of *M*<=×<=*N* squares. Also you are given an unlimited number of standard domino pieces of 2<=×<=1 squares. You are allowed to rotate the pieces. You are asked to place as many dominoes as possible on the board so as to meet the following conditions:
1. Each domino completely covers two squares.
2. No two dominoes overlap.
3. Each domino lies entirely inside the board. It is allowed to touch the edges of the board.
Find the maximum number of dominoes, which can be placed under these restrictions. | In a single line you are given two integers *M* and *N* — board sizes in squares (1<=≤<=*M*<=≤<=*N*<=≤<=16). | Output one number — the maximal number of dominoes, which can be placed. | [
"2 4\n",
"3 3\n"
] | [
"4\n",
"4\n"
] | none | 500 | [
{
"input": "2 4",
"output": "4"
},
{
"input": "3 3",
"output": "4"
},
{
"input": "1 5",
"output": "2"
},
{
"input": "1 6",
"output": "3"
},
{
"input": "1 15",
"output": "7"
},
{
"input": "1 16",
"output": "8"
},
{
"input": "2 5",
"outpu... | 1,690,830,723 | 2,147,483,647 | Python 3 | OK | TESTS | 35 | 92 | 0 |
m,n = map(int, input().split())
product = m*n
if product < 2:
print(0)
else:
print(product//2)
| Title: Domino piling
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
You are given a rectangular board of *M*<=×<=*N* squares. Also you are given an unlimited number of standard domino pieces of 2<=×<=1 squares. You are allowed to rotate the pieces. You are asked to place as many dominoes as possible on the board so as to meet the following conditions:
1. Each domino completely covers two squares.
2. No two dominoes overlap.
3. Each domino lies entirely inside the board. It is allowed to touch the edges of the board.
Find the maximum number of dominoes, which can be placed under these restrictions.
Input Specification:
In a single line you are given two integers *M* and *N* — board sizes in squares (1<=≤<=*M*<=≤<=*N*<=≤<=16).
Output Specification:
Output one number — the maximal number of dominoes, which can be placed.
Demo Input:
['2 4\n', '3 3\n']
Demo Output:
['4\n', '4\n']
Note:
none | ```python
m,n = map(int, input().split())
product = m*n
if product < 2:
print(0)
else:
print(product//2)
``` | 3.977 |
922 | C | Cave Painting | PROGRAMMING | 1,600 | [
"brute force",
"number theory"
] | null | null | Imp is watching a documentary about cave painting.
Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders of division of a number *n* by all integers *i* from 1 to *k*. Unfortunately, there are too many integers to analyze for Imp.
Imp wants you to check whether all these remainders are distinct. Formally, he wants to check, if all , 1<=≤<=*i*<=≤<=*k*, are distinct, i. e. there is no such pair (*i*,<=*j*) that:
- 1<=≤<=*i*<=<<=*j*<=≤<=*k*, - , where is the remainder of division *x* by *y*. | The only line contains two integers *n*, *k* (1<=≤<=*n*,<=*k*<=≤<=1018). | Print "Yes", if all the remainders are distinct, and "No" otherwise.
You can print each letter in arbitrary case (lower or upper). | [
"4 4\n",
"5 3\n"
] | [
"No\n",
"Yes\n"
] | In the first sample remainders modulo 1 and 4 coincide. | 1,250 | [
{
"input": "4 4",
"output": "No"
},
{
"input": "5 3",
"output": "Yes"
},
{
"input": "1 1",
"output": "Yes"
},
{
"input": "744 18",
"output": "No"
},
{
"input": "47879 10",
"output": "Yes"
},
{
"input": "1000000000000000000 1000000000000000000",
"ou... | 1,676,306,579 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 90 | 62 | 0 | import sys
input = sys.stdin.readline
n, k = map(int, input().split())
s = set()
for i in range(1, k+1):
if n%i in s:
print('No')
break
else:
s.add(n%i)
else:
print('Yes') | Title: Cave Painting
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Imp is watching a documentary about cave painting.
Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders of division of a number *n* by all integers *i* from 1 to *k*. Unfortunately, there are too many integers to analyze for Imp.
Imp wants you to check whether all these remainders are distinct. Formally, he wants to check, if all , 1<=≤<=*i*<=≤<=*k*, are distinct, i. e. there is no such pair (*i*,<=*j*) that:
- 1<=≤<=*i*<=<<=*j*<=≤<=*k*, - , where is the remainder of division *x* by *y*.
Input Specification:
The only line contains two integers *n*, *k* (1<=≤<=*n*,<=*k*<=≤<=1018).
Output Specification:
Print "Yes", if all the remainders are distinct, and "No" otherwise.
You can print each letter in arbitrary case (lower or upper).
Demo Input:
['4 4\n', '5 3\n']
Demo Output:
['No\n', 'Yes\n']
Note:
In the first sample remainders modulo 1 and 4 coincide. | ```python
import sys
input = sys.stdin.readline
n, k = map(int, input().split())
s = set()
for i in range(1, k+1):
if n%i in s:
print('No')
break
else:
s.add(n%i)
else:
print('Yes')
``` | 3 | |
681 | A | A Good Contest | PROGRAMMING | 800 | [
"implementation"
] | null | null | Codeforces user' handle color depends on his rating — it is red if his rating is greater or equal to 2400; it is orange if his rating is less than 2400 but greater or equal to 2200, etc. Each time participant takes part in a rated contest, his rating is changed depending on his performance.
Anton wants the color of his handle to become red. He considers his performance in the rated contest to be good if he outscored some participant, whose handle was colored red before the contest and his rating has increased after it.
Anton has written a program that analyses contest results and determines whether he performed good or not. Are you able to do the same? | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of participants Anton has outscored in this contest .
The next *n* lines describe participants results: the *i*-th of them consists of a participant handle *name**i* and two integers *before**i* and *after**i* (<=-<=4000<=≤<=*before**i*,<=*after**i*<=≤<=4000) — participant's rating before and after the contest, respectively. Each handle is a non-empty string, consisting of no more than 10 characters, which might be lowercase and uppercase English letters, digits, characters «_» and «-» characters.
It is guaranteed that all handles are distinct. | Print «YES» (quotes for clarity), if Anton has performed good in the contest and «NO» (quotes for clarity) otherwise. | [
"3\nBurunduk1 2526 2537\nBudAlNik 2084 2214\nsubscriber 2833 2749\n",
"3\nApplejack 2400 2400\nFluttershy 2390 2431\nPinkie_Pie -2500 -2450\n"
] | [
"YES",
"NO"
] | In the first sample, Anton has outscored user with handle Burunduk1, whose handle was colored red before the contest and his rating has increased after the contest.
In the second sample, Applejack's rating has not increased after the contest, while both Fluttershy's and Pinkie_Pie's handles were not colored red before the contest. | 500 | [
{
"input": "3\nBurunduk1 2526 2537\nBudAlNik 2084 2214\nsubscriber 2833 2749",
"output": "YES"
},
{
"input": "3\nApplejack 2400 2400\nFluttershy 2390 2431\nPinkie_Pie -2500 -2450",
"output": "NO"
},
{
"input": "1\nDb -3373 3591",
"output": "NO"
},
{
"input": "5\nQ2bz 960 2342... | 1,612,314,288 | 2,147,483,647 | PyPy 3 | RUNTIME_ERROR | TESTS | 0 | 124 | 2,048,000 | n = int(input())
for i in range(n):
# list prefer to have same data type
#to stor names
x= list(input().split(' '))
#to store before
y= list(input().split(' '))
#to store after
z=list(input().split(' '))
#to store y in int to can compare the number
y=int(y)
z=int(z)
# if x>2400 that mean he is red
if x>=2400 and y>z:
print("yes")
else:
print("n") | Title: A Good Contest
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Codeforces user' handle color depends on his rating — it is red if his rating is greater or equal to 2400; it is orange if his rating is less than 2400 but greater or equal to 2200, etc. Each time participant takes part in a rated contest, his rating is changed depending on his performance.
Anton wants the color of his handle to become red. He considers his performance in the rated contest to be good if he outscored some participant, whose handle was colored red before the contest and his rating has increased after it.
Anton has written a program that analyses contest results and determines whether he performed good or not. Are you able to do the same?
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of participants Anton has outscored in this contest .
The next *n* lines describe participants results: the *i*-th of them consists of a participant handle *name**i* and two integers *before**i* and *after**i* (<=-<=4000<=≤<=*before**i*,<=*after**i*<=≤<=4000) — participant's rating before and after the contest, respectively. Each handle is a non-empty string, consisting of no more than 10 characters, which might be lowercase and uppercase English letters, digits, characters «_» and «-» characters.
It is guaranteed that all handles are distinct.
Output Specification:
Print «YES» (quotes for clarity), if Anton has performed good in the contest and «NO» (quotes for clarity) otherwise.
Demo Input:
['3\nBurunduk1 2526 2537\nBudAlNik 2084 2214\nsubscriber 2833 2749\n', '3\nApplejack 2400 2400\nFluttershy 2390 2431\nPinkie_Pie -2500 -2450\n']
Demo Output:
['YES', 'NO']
Note:
In the first sample, Anton has outscored user with handle Burunduk1, whose handle was colored red before the contest and his rating has increased after the contest.
In the second sample, Applejack's rating has not increased after the contest, while both Fluttershy's and Pinkie_Pie's handles were not colored red before the contest. | ```python
n = int(input())
for i in range(n):
# list prefer to have same data type
#to stor names
x= list(input().split(' '))
#to store before
y= list(input().split(' '))
#to store after
z=list(input().split(' '))
#to store y in int to can compare the number
y=int(y)
z=int(z)
# if x>2400 that mean he is red
if x>=2400 and y>z:
print("yes")
else:
print("n")
``` | -1 | |
461 | A | Appleman and Toastman | PROGRAMMING | 1,200 | [
"greedy",
"sortings"
] | null | null | Appleman and Toastman play a game. Initially Appleman gives one group of *n* numbers to the Toastman, then they start to complete the following tasks:
- Each time Toastman gets a group of numbers, he sums up all the numbers and adds this sum to the score. Then he gives the group to the Appleman. - Each time Appleman gets a group consisting of a single number, he throws this group out. Each time Appleman gets a group consisting of more than one number, he splits the group into two non-empty groups (he can do it in any way) and gives each of them to Toastman.
After guys complete all the tasks they look at the score value. What is the maximum possible value of score they can get? | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=3·105). The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=106) — the initial group that is given to Toastman. | Print a single integer — the largest possible score. | [
"3\n3 1 5\n",
"1\n10\n"
] | [
"26\n",
"10\n"
] | Consider the following situation in the first example. Initially Toastman gets group [3, 1, 5] and adds 9 to the score, then he give the group to Appleman. Appleman splits group [3, 1, 5] into two groups: [3, 5] and [1]. Both of them should be given to Toastman. When Toastman receives group [1], he adds 1 to score and gives the group to Appleman (he will throw it out). When Toastman receives group [3, 5], he adds 8 to the score and gives the group to Appleman. Appleman splits [3, 5] in the only possible way: [5] and [3]. Then he gives both groups to Toastman. When Toastman receives [5], he adds 5 to the score and gives the group to Appleman (he will throws it out). When Toastman receives [3], he adds 3 to the score and gives the group to Appleman (he will throws it out). Finally Toastman have added 9 + 1 + 8 + 5 + 3 = 26 to the score. This is the optimal sequence of actions. | 500 | [
{
"input": "3\n3 1 5",
"output": "26"
},
{
"input": "1\n10",
"output": "10"
},
{
"input": "10\n8 10 2 5 6 2 4 7 2 1",
"output": "376"
},
{
"input": "10\n171308 397870 724672 431255 228496 892002 542924 718337 888642 161821",
"output": "40204082"
},
{
"input": "10\... | 1,412,070,153 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 6 | 2,000 | 6,144,000 | n = int(input())
s = [ int(x) for x in input().split() ]
pts = 0
while n > 0 :
pts += sum(s)
m = min(s)
if n >= 2 :
pts += m
s.remove(m)
else : s.remove(m)
n -= 1
print(pts) | Title: Appleman and Toastman
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Appleman and Toastman play a game. Initially Appleman gives one group of *n* numbers to the Toastman, then they start to complete the following tasks:
- Each time Toastman gets a group of numbers, he sums up all the numbers and adds this sum to the score. Then he gives the group to the Appleman. - Each time Appleman gets a group consisting of a single number, he throws this group out. Each time Appleman gets a group consisting of more than one number, he splits the group into two non-empty groups (he can do it in any way) and gives each of them to Toastman.
After guys complete all the tasks they look at the score value. What is the maximum possible value of score they can get?
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=3·105). The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=106) — the initial group that is given to Toastman.
Output Specification:
Print a single integer — the largest possible score.
Demo Input:
['3\n3 1 5\n', '1\n10\n']
Demo Output:
['26\n', '10\n']
Note:
Consider the following situation in the first example. Initially Toastman gets group [3, 1, 5] and adds 9 to the score, then he give the group to Appleman. Appleman splits group [3, 1, 5] into two groups: [3, 5] and [1]. Both of them should be given to Toastman. When Toastman receives group [1], he adds 1 to score and gives the group to Appleman (he will throw it out). When Toastman receives group [3, 5], he adds 8 to the score and gives the group to Appleman. Appleman splits [3, 5] in the only possible way: [5] and [3]. Then he gives both groups to Toastman. When Toastman receives [5], he adds 5 to the score and gives the group to Appleman (he will throws it out). When Toastman receives [3], he adds 3 to the score and gives the group to Appleman (he will throws it out). Finally Toastman have added 9 + 1 + 8 + 5 + 3 = 26 to the score. This is the optimal sequence of actions. | ```python
n = int(input())
s = [ int(x) for x in input().split() ]
pts = 0
while n > 0 :
pts += sum(s)
m = min(s)
if n >= 2 :
pts += m
s.remove(m)
else : s.remove(m)
n -= 1
print(pts)
``` | 0 | |
672 | B | Different is Good | PROGRAMMING | 1,000 | [
"constructive algorithms",
"implementation",
"strings"
] | null | null | A wise man told Kerem "Different is good" once, so Kerem wants all things in his life to be different.
Kerem recently got a string *s* consisting of lowercase English letters. Since Kerem likes it when things are different, he wants all substrings of his string *s* to be distinct. Substring is a string formed by some number of consecutive characters of the string. For example, string "aba" has substrings "" (empty substring), "a", "b", "a", "ab", "ba", "aba".
If string *s* has at least two equal substrings then Kerem will change characters at some positions to some other lowercase English letters. Changing characters is a very tiring job, so Kerem want to perform as few changes as possible.
Your task is to find the minimum number of changes needed to make all the substrings of the given string distinct, or determine that it is impossible. | The first line of the input contains an integer *n* (1<=≤<=*n*<=≤<=100<=000) — the length of the string *s*.
The second line contains the string *s* of length *n* consisting of only lowercase English letters. | If it's impossible to change the string *s* such that all its substring are distinct print -1. Otherwise print the minimum required number of changes. | [
"2\naa\n",
"4\nkoko\n",
"5\nmurat\n"
] | [
"1\n",
"2\n",
"0\n"
] | In the first sample one of the possible solutions is to change the first character to 'b'.
In the second sample, one may change the first character to 'a' and second character to 'b', so the string becomes "abko". | 1,000 | [
{
"input": "2\naa",
"output": "1"
},
{
"input": "4\nkoko",
"output": "2"
},
{
"input": "5\nmurat",
"output": "0"
},
{
"input": "6\nacbead",
"output": "1"
},
{
"input": "7\ncdaadad",
"output": "4"
},
{
"input": "25\npeoaicnbisdocqofsqdpgobpn",
"outp... | 1,567,411,729 | 2,147,483,647 | Python 3 | OK | TESTS | 47 | 124 | 716,800 | from collections import OrderedDict
n=int(input())
s=str(input())
l=len(s)
f="".join(OrderedDict.fromkeys(s))
if(len(s)>26):
print('-1')
else:
print(len(s)-len(f))
| Title: Different is Good
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A wise man told Kerem "Different is good" once, so Kerem wants all things in his life to be different.
Kerem recently got a string *s* consisting of lowercase English letters. Since Kerem likes it when things are different, he wants all substrings of his string *s* to be distinct. Substring is a string formed by some number of consecutive characters of the string. For example, string "aba" has substrings "" (empty substring), "a", "b", "a", "ab", "ba", "aba".
If string *s* has at least two equal substrings then Kerem will change characters at some positions to some other lowercase English letters. Changing characters is a very tiring job, so Kerem want to perform as few changes as possible.
Your task is to find the minimum number of changes needed to make all the substrings of the given string distinct, or determine that it is impossible.
Input Specification:
The first line of the input contains an integer *n* (1<=≤<=*n*<=≤<=100<=000) — the length of the string *s*.
The second line contains the string *s* of length *n* consisting of only lowercase English letters.
Output Specification:
If it's impossible to change the string *s* such that all its substring are distinct print -1. Otherwise print the minimum required number of changes.
Demo Input:
['2\naa\n', '4\nkoko\n', '5\nmurat\n']
Demo Output:
['1\n', '2\n', '0\n']
Note:
In the first sample one of the possible solutions is to change the first character to 'b'.
In the second sample, one may change the first character to 'a' and second character to 'b', so the string becomes "abko". | ```python
from collections import OrderedDict
n=int(input())
s=str(input())
l=len(s)
f="".join(OrderedDict.fromkeys(s))
if(len(s)>26):
print('-1')
else:
print(len(s)-len(f))
``` | 3 | |
822 | A | I'm bored with life | PROGRAMMING | 800 | [
"implementation",
"math",
"number theory"
] | null | null | Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of university studies. Consequently Noora had to leave Vičkopolis and move to Pavlopolis. Thus Leha was left completely alone in a quiet town Vičkopolis. He almost even fell into a depression from boredom!
Leha came up with a task for himself to relax a little. He chooses two integers *A* and *B* and then calculates the greatest common divisor of integers "*A* factorial" and "*B* factorial". Formally the hacker wants to find out GCD(*A*!,<=*B*!). It's well known that the factorial of an integer *x* is a product of all positive integers less than or equal to *x*. Thus *x*!<==<=1·2·3·...·(*x*<=-<=1)·*x*. For example 4!<==<=1·2·3·4<==<=24. Recall that GCD(*x*,<=*y*) is the largest positive integer *q* that divides (without a remainder) both *x* and *y*.
Leha has learned how to solve this task very effective. You are able to cope with it not worse, aren't you? | The first and single line contains two integers *A* and *B* (1<=≤<=*A*,<=*B*<=≤<=109,<=*min*(*A*,<=*B*)<=≤<=12). | Print a single integer denoting the greatest common divisor of integers *A*! and *B*!. | [
"4 3\n"
] | [
"6\n"
] | Consider the sample.
4! = 1·2·3·4 = 24. 3! = 1·2·3 = 6. The greatest common divisor of integers 24 and 6 is exactly 6. | 500 | [
{
"input": "4 3",
"output": "6"
},
{
"input": "10 399603090",
"output": "3628800"
},
{
"input": "6 973151934",
"output": "720"
},
{
"input": "2 841668075",
"output": "2"
},
{
"input": "7 415216919",
"output": "5040"
},
{
"input": "3 283733059",
"ou... | 1,630,465,419 | 2,147,483,647 | Python 3 | OK | TESTS | 59 | 62 | 6,758,400 | def FindSmaller(x, y):
if x < y:
return x
return y
def FindFactorial(a, b):
number = FindSmaller(a, b)
fact = 1
while(number > 0):
fact *= number
number -= 1
return fact
k = input().split()
a, b = int(k[0]), int(k[1])
print(FindFactorial(a, b))
| Title: I'm bored with life
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of university studies. Consequently Noora had to leave Vičkopolis and move to Pavlopolis. Thus Leha was left completely alone in a quiet town Vičkopolis. He almost even fell into a depression from boredom!
Leha came up with a task for himself to relax a little. He chooses two integers *A* and *B* and then calculates the greatest common divisor of integers "*A* factorial" and "*B* factorial". Formally the hacker wants to find out GCD(*A*!,<=*B*!). It's well known that the factorial of an integer *x* is a product of all positive integers less than or equal to *x*. Thus *x*!<==<=1·2·3·...·(*x*<=-<=1)·*x*. For example 4!<==<=1·2·3·4<==<=24. Recall that GCD(*x*,<=*y*) is the largest positive integer *q* that divides (without a remainder) both *x* and *y*.
Leha has learned how to solve this task very effective. You are able to cope with it not worse, aren't you?
Input Specification:
The first and single line contains two integers *A* and *B* (1<=≤<=*A*,<=*B*<=≤<=109,<=*min*(*A*,<=*B*)<=≤<=12).
Output Specification:
Print a single integer denoting the greatest common divisor of integers *A*! and *B*!.
Demo Input:
['4 3\n']
Demo Output:
['6\n']
Note:
Consider the sample.
4! = 1·2·3·4 = 24. 3! = 1·2·3 = 6. The greatest common divisor of integers 24 and 6 is exactly 6. | ```python
def FindSmaller(x, y):
if x < y:
return x
return y
def FindFactorial(a, b):
number = FindSmaller(a, b)
fact = 1
while(number > 0):
fact *= number
number -= 1
return fact
k = input().split()
a, b = int(k[0]), int(k[1])
print(FindFactorial(a, b))
``` | 3 | |
59 | A | Word | PROGRAMMING | 800 | [
"implementation",
"strings"
] | A. Word | 2 | 256 | Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. | The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. | Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. | [
"HoUse\n",
"ViP\n",
"maTRIx\n"
] | [
"house\n",
"VIP\n",
"matrix\n"
] | none | 500 | [
{
"input": "HoUse",
"output": "house"
},
{
"input": "ViP",
"output": "VIP"
},
{
"input": "maTRIx",
"output": "matrix"
},
{
"input": "BNHWpnpawg",
"output": "bnhwpnpawg"
},
{
"input": "VTYGP",
"output": "VTYGP"
},
{
"input": "CHNenu",
"output": "chn... | 1,642,471,039 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 30 | 216 | 0 | n=input()
upper=0
lower=0
for i in n:
if i.isupper():
upper+=1
else:
lower+=1
if upper==lower or lower>upper:
print(n.lower())
else:
print(n.upper())
| Title: Word
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word.
Input Specification:
The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100.
Output Specification:
Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one.
Demo Input:
['HoUse\n', 'ViP\n', 'maTRIx\n']
Demo Output:
['house\n', 'VIP\n', 'matrix\n']
Note:
none | ```python
n=input()
upper=0
lower=0
for i in n:
if i.isupper():
upper+=1
else:
lower+=1
if upper==lower or lower>upper:
print(n.lower())
else:
print(n.upper())
``` | 3.946 |
992 | A | Nastya and an Array | PROGRAMMING | 800 | [
"implementation",
"sortings"
] | null | null | Nastya owns too many arrays now, so she wants to delete the least important of them. However, she discovered that this array is magic! Nastya now knows that the array has the following properties:
- In one second we can add an arbitrary (possibly negative) integer to all elements of the array that are not equal to zero. - When all elements of the array become equal to zero, the array explodes.
Nastya is always busy, so she wants to explode the array as fast as possible. Compute the minimum time in which the array can be exploded. | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105) — the size of the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=105<=≤<=*a**i*<=≤<=105) — the elements of the array. | Print a single integer — the minimum number of seconds needed to make all elements of the array equal to zero. | [
"5\n1 1 1 1 1\n",
"3\n2 0 -1\n",
"4\n5 -6 -5 1\n"
] | [
"1\n",
"2\n",
"4\n"
] | In the first example you can add - 1 to all non-zero elements in one second and make them equal to zero.
In the second example you can add - 2 on the first second, then the array becomes equal to [0, 0, - 3]. On the second second you can add 3 to the third (the only non-zero) element. | 500 | [
{
"input": "5\n1 1 1 1 1",
"output": "1"
},
{
"input": "3\n2 0 -1",
"output": "2"
},
{
"input": "4\n5 -6 -5 1",
"output": "4"
},
{
"input": "1\n0",
"output": "0"
},
{
"input": "2\n21794 -79194",
"output": "2"
},
{
"input": "3\n-63526 95085 -5239",
... | 1,585,472,076 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 1 | 93 | 0 | l=list(map(int,input().split()))
l=list(set(l))
if(0 in l):
l.remove(0)
print(len(l)) | Title: Nastya and an Array
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Nastya owns too many arrays now, so she wants to delete the least important of them. However, she discovered that this array is magic! Nastya now knows that the array has the following properties:
- In one second we can add an arbitrary (possibly negative) integer to all elements of the array that are not equal to zero. - When all elements of the array become equal to zero, the array explodes.
Nastya is always busy, so she wants to explode the array as fast as possible. Compute the minimum time in which the array can be exploded.
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105) — the size of the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=105<=≤<=*a**i*<=≤<=105) — the elements of the array.
Output Specification:
Print a single integer — the minimum number of seconds needed to make all elements of the array equal to zero.
Demo Input:
['5\n1 1 1 1 1\n', '3\n2 0 -1\n', '4\n5 -6 -5 1\n']
Demo Output:
['1\n', '2\n', '4\n']
Note:
In the first example you can add - 1 to all non-zero elements in one second and make them equal to zero.
In the second example you can add - 2 on the first second, then the array becomes equal to [0, 0, - 3]. On the second second you can add 3 to the third (the only non-zero) element. | ```python
l=list(map(int,input().split()))
l=list(set(l))
if(0 in l):
l.remove(0)
print(len(l))
``` | 0 | |
707 | C | Pythagorean Triples | PROGRAMMING | 1,500 | [
"math",
"number theory"
] | null | null | Katya studies in a fifth grade. Recently her class studied right triangles and the Pythagorean theorem. It appeared, that there are triples of positive integers such that you can construct a right triangle with segments of lengths corresponding to triple. Such triples are called Pythagorean triples.
For example, triples (3,<=4,<=5), (5,<=12,<=13) and (6,<=8,<=10) are Pythagorean triples.
Here Katya wondered if she can specify the length of some side of right triangle and find any Pythagorean triple corresponding to such length? Note that the side which length is specified can be a cathetus as well as hypotenuse.
Katya had no problems with completing this task. Will you do the same? | The only line of the input contains single integer *n* (1<=≤<=*n*<=≤<=109) — the length of some side of a right triangle. | Print two integers *m* and *k* (1<=≤<=*m*,<=*k*<=≤<=1018), such that *n*, *m* and *k* form a Pythagorean triple, in the only line.
In case if there is no any Pythagorean triple containing integer *n*, print <=-<=1 in the only line. If there are many answers, print any of them. | [
"3\n",
"6\n",
"1\n",
"17\n",
"67\n"
] | [
"4 5",
"8 10",
"-1",
"144 145",
"2244 2245"
] | Illustration for the first sample. | 1,500 | [
{
"input": "3",
"output": "4 5"
},
{
"input": "6",
"output": "8 10"
},
{
"input": "1",
"output": "-1"
},
{
"input": "17",
"output": "144 145"
},
{
"input": "67",
"output": "2244 2245"
},
{
"input": "10",
"output": "24 26"
},
{
"input": "14"... | 1,689,901,259 | 2,147,483,647 | PyPy 3-64 | TIME_LIMIT_EXCEEDED | TESTS | 2 | 1,000 | 1,536,000 | a = int(input())
for i in range(1, int(1e9)):
x = pow(a * a + i * i, 0.5)
if x == int(x):
print(i, int(x))
exit()
print(-1) | Title: Pythagorean Triples
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Katya studies in a fifth grade. Recently her class studied right triangles and the Pythagorean theorem. It appeared, that there are triples of positive integers such that you can construct a right triangle with segments of lengths corresponding to triple. Such triples are called Pythagorean triples.
For example, triples (3,<=4,<=5), (5,<=12,<=13) and (6,<=8,<=10) are Pythagorean triples.
Here Katya wondered if she can specify the length of some side of right triangle and find any Pythagorean triple corresponding to such length? Note that the side which length is specified can be a cathetus as well as hypotenuse.
Katya had no problems with completing this task. Will you do the same?
Input Specification:
The only line of the input contains single integer *n* (1<=≤<=*n*<=≤<=109) — the length of some side of a right triangle.
Output Specification:
Print two integers *m* and *k* (1<=≤<=*m*,<=*k*<=≤<=1018), such that *n*, *m* and *k* form a Pythagorean triple, in the only line.
In case if there is no any Pythagorean triple containing integer *n*, print <=-<=1 in the only line. If there are many answers, print any of them.
Demo Input:
['3\n', '6\n', '1\n', '17\n', '67\n']
Demo Output:
['4 5', '8 10', '-1', '144 145', '2244 2245']
Note:
Illustration for the first sample. | ```python
a = int(input())
for i in range(1, int(1e9)):
x = pow(a * a + i * i, 0.5)
if x == int(x):
print(i, int(x))
exit()
print(-1)
``` | 0 | |
337 | A | Puzzles | PROGRAMMING | 900 | [
"greedy"
] | null | null | The end of the school year is near and Ms. Manana, the teacher, will soon have to say goodbye to a yet another class. She decided to prepare a goodbye present for her *n* students and give each of them a jigsaw puzzle (which, as wikipedia states, is a tiling puzzle that requires the assembly of numerous small, often oddly shaped, interlocking and tessellating pieces).
The shop assistant told the teacher that there are *m* puzzles in the shop, but they might differ in difficulty and size. Specifically, the first jigsaw puzzle consists of *f*1 pieces, the second one consists of *f*2 pieces and so on.
Ms. Manana doesn't want to upset the children, so she decided that the difference between the numbers of pieces in her presents must be as small as possible. Let *A* be the number of pieces in the largest puzzle that the teacher buys and *B* be the number of pieces in the smallest such puzzle. She wants to choose such *n* puzzles that *A*<=-<=*B* is minimum possible. Help the teacher and find the least possible value of *A*<=-<=*B*. | The first line contains space-separated integers *n* and *m* (2<=≤<=*n*<=≤<=*m*<=≤<=50). The second line contains *m* space-separated integers *f*1,<=*f*2,<=...,<=*f**m* (4<=≤<=*f**i*<=≤<=1000) — the quantities of pieces in the puzzles sold in the shop. | Print a single integer — the least possible difference the teacher can obtain. | [
"4 6\n10 12 10 7 5 22\n"
] | [
"5\n"
] | Sample 1. The class has 4 students. The shop sells 6 puzzles. If Ms. Manana buys the first four puzzles consisting of 10, 12, 10 and 7 pieces correspondingly, then the difference between the sizes of the largest and the smallest puzzle will be equal to 5. It is impossible to obtain a smaller difference. Note that the teacher can also buy puzzles 1, 3, 4 and 5 to obtain the difference 5. | 500 | [
{
"input": "4 6\n10 12 10 7 5 22",
"output": "5"
},
{
"input": "2 2\n4 4",
"output": "0"
},
{
"input": "2 10\n4 5 6 7 8 9 10 11 12 12",
"output": "0"
},
{
"input": "4 5\n818 136 713 59 946",
"output": "759"
},
{
"input": "3 20\n446 852 783 313 549 965 40 88 86 617... | 1,670,075,718 | 2,147,483,647 | Python 3 | OK | TESTS | 18 | 92 | 0 | nm = input().split()
nm = [int(x) for x in nm]
n = nm[0]
m = nm[1]
array = input().split()
array = [int(x) for x in array]
def task(n,m,array):
results = []
result = 0
array.sort()
for i in range(m):
try:
result = array[i+n-1] - array[i]
results.append(result)
except:
pass
return min(results)
print(task(n,m,array)) | Title: Puzzles
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The end of the school year is near and Ms. Manana, the teacher, will soon have to say goodbye to a yet another class. She decided to prepare a goodbye present for her *n* students and give each of them a jigsaw puzzle (which, as wikipedia states, is a tiling puzzle that requires the assembly of numerous small, often oddly shaped, interlocking and tessellating pieces).
The shop assistant told the teacher that there are *m* puzzles in the shop, but they might differ in difficulty and size. Specifically, the first jigsaw puzzle consists of *f*1 pieces, the second one consists of *f*2 pieces and so on.
Ms. Manana doesn't want to upset the children, so she decided that the difference between the numbers of pieces in her presents must be as small as possible. Let *A* be the number of pieces in the largest puzzle that the teacher buys and *B* be the number of pieces in the smallest such puzzle. She wants to choose such *n* puzzles that *A*<=-<=*B* is minimum possible. Help the teacher and find the least possible value of *A*<=-<=*B*.
Input Specification:
The first line contains space-separated integers *n* and *m* (2<=≤<=*n*<=≤<=*m*<=≤<=50). The second line contains *m* space-separated integers *f*1,<=*f*2,<=...,<=*f**m* (4<=≤<=*f**i*<=≤<=1000) — the quantities of pieces in the puzzles sold in the shop.
Output Specification:
Print a single integer — the least possible difference the teacher can obtain.
Demo Input:
['4 6\n10 12 10 7 5 22\n']
Demo Output:
['5\n']
Note:
Sample 1. The class has 4 students. The shop sells 6 puzzles. If Ms. Manana buys the first four puzzles consisting of 10, 12, 10 and 7 pieces correspondingly, then the difference between the sizes of the largest and the smallest puzzle will be equal to 5. It is impossible to obtain a smaller difference. Note that the teacher can also buy puzzles 1, 3, 4 and 5 to obtain the difference 5. | ```python
nm = input().split()
nm = [int(x) for x in nm]
n = nm[0]
m = nm[1]
array = input().split()
array = [int(x) for x in array]
def task(n,m,array):
results = []
result = 0
array.sort()
for i in range(m):
try:
result = array[i+n-1] - array[i]
results.append(result)
except:
pass
return min(results)
print(task(n,m,array))
``` | 3 |
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