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Provide a correct Python 3 solution for this coding contest problem. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B_j holds. Find the minimum possible value of B_1 + ... ...
instruction
0
108,428
5
216,856
"Correct Solution: ``` # from math import gcd from fractions import gcd n = int(input()) a = list(map(int,input().split())) ans = 1 for i in a: ans = ans * i // gcd(ans, i) mod = 10**9+7 print(sum(map(lambda x: ans // x, a)) % mod) ```
output
1
108,428
5
216,857
Provide a correct Python 3 solution for this coding contest problem. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B_j holds. Find the minimum possible value of B_1 + ... ...
instruction
0
108,429
5
216,858
"Correct Solution: ``` from fractions import * n,*a=map(int,open(0).read().split()) mod=10**9+7 b=a[0] for i in a: b=b*i//gcd(b,i) print(sum(b//i for i in a)%mod) ```
output
1
108,429
5
216,859
Provide a correct Python 3 solution for this coding contest problem. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B_j holds. Find the minimum possible value of B_1 + ... ...
instruction
0
108,430
5
216,860
"Correct Solution: ``` from fractions import gcd from functools import reduce N = int(input()) A = list(map(int, input().split())) m = 1000000007 lcm = reduce(lambda a, b: a * b // gcd(a, b), A) print(sum(lcm // a for a in A) % m) ```
output
1
108,430
5
216,861
Provide a correct Python 3 solution for this coding contest problem. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B_j holds. Find the minimum possible value of B_1 + ... ...
instruction
0
108,431
5
216,862
"Correct Solution: ``` import fractions n=int(input()) l=list(map(int,input().split())) b=0 c=0 for i in range(n): if (i==0): b=l[i] else: b=b*l[i]//fractions.gcd(l[i],b) for i in range(n): c+=b//l[i] print(c%1000000007) ```
output
1
108,431
5
216,863
Provide a correct Python 3 solution for this coding contest problem. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B_j holds. Find the minimum possible value of B_1 + ... ...
instruction
0
108,432
5
216,864
"Correct Solution: ``` from fractions import gcd MOD = 10**9+7 N = int(input()) A = list(map(int, input().split())) lcm = 1 for a in A: lcm *= a//gcd(lcm, a) print(sum(lcm//a for a in A)%MOD) ```
output
1
108,432
5
216,865
Provide a correct Python 3 solution for this coding contest problem. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B_j holds. Find the minimum possible value of B_1 + ... ...
instruction
0
108,433
5
216,866
"Correct Solution: ``` import fractions def lcm(a, b): return a*b // fractions.gcd(a,b) N = int(input()) nums = list(map(int, input().split())) num = 1 for i in nums: num = lcm(num, i) print(sum([num // i for i in nums]) % (10 ** 9 + 7)) ```
output
1
108,433
5
216,867
Provide a correct Python 3 solution for this coding contest problem. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B_j holds. Find the minimum possible value of B_1 + ... ...
instruction
0
108,434
5
216,868
"Correct Solution: ``` from functools import reduce from fractions import gcd n=int(input()) A=list(map(int,input().split())) lc=reduce(lambda a,b: a*b//gcd(a,b),A) b=[lc//i for i in A] print(sum(b)%(1000*1000000+7)) ```
output
1
108,434
5
216,869
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B...
instruction
0
108,435
5
216,870
Yes
output
1
108,435
5
216,871
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B...
instruction
0
108,436
5
216,872
Yes
output
1
108,436
5
216,873
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B...
instruction
0
108,437
5
216,874
Yes
output
1
108,437
5
216,875
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B...
instruction
0
108,438
5
216,876
Yes
output
1
108,438
5
216,877
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B...
instruction
0
108,439
5
216,878
No
output
1
108,439
5
216,879
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B...
instruction
0
108,440
5
216,880
No
output
1
108,440
5
216,881
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B...
instruction
0
108,441
5
216,882
No
output
1
108,441
5
216,883
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are N positive integers A_1,...,A_N. Consider positive integers B_1, ..., B_N that satisfy the following condition. Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B...
instruction
0
108,442
5
216,884
No
output
1
108,442
5
216,885
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Rep...
instruction
0
108,607
5
217,214
"Correct Solution: ``` # -*- coding: utf-8 -*- """ Set - Multi-Set http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ITP2_7_D&lang=jp """ from bisect import insort, bisect_right, bisect_left class Multi_set: def __init__(self): self.total = 0 self.ms = dict() self.lr = [] def i...
output
1
108,607
5
217,215
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Rep...
instruction
0
108,608
5
217,216
"Correct Solution: ``` from bisect import insort, bisect_right, bisect_left class MultiSet: def __init__(self) -> None: self.total = 0 self.ms: dict = dict() self.lr: list = [] def insert(self, x: int) -> None: self.total += 1 if x in self.ms: self.ms[x] +=...
output
1
108,608
5
217,217
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Rep...
instruction
0
108,609
5
217,218
"Correct Solution: ``` import bisect import collections def main6(): values = collections.defaultdict(int) element_count = 0 q = int(input()) for _ in range(q): com, *para = map(int, input().split()) if com == 0: values[para[0]] += 1 element_count += 1 ...
output
1
108,609
5
217,219
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Rep...
instruction
0
108,610
5
217,220
"Correct Solution: ``` # AOJ ITP2_7_D: Multi-Set # Python3 2018.6.24 bal4u from bisect import bisect_left, bisect_right, insort_left dict = {} keytbl = [] cnt = 0 q = int(input()) for i in range(q): a = list(input().split()) ki = int(a[1]) if a[0] == '0': if ki not in dict: dict[ki] = 1 insort_left(keytbl, ...
output
1
108,610
5
217,221
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Rep...
instruction
0
108,611
5
217,222
"Correct Solution: ``` import sys import bisect nq = int(input()) lines = sys.stdin.readlines() ans = [None] * nq arr = [] for i in range(nq): q, *arg = lines[i].split() x = int(arg[0]) l_idx = bisect.bisect_left(arr, x) r_idx = bisect.bisect_right(arr, x) if q == '0': # insert x arr.inse...
output
1
108,611
5
217,223
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Rep...
instruction
0
108,612
5
217,224
"Correct Solution: ``` # AOJ ITP2_7_D: Multi-Set # Python3 2018.6.24 bal4u from bisect import bisect_left, bisect_right, insort_left dict = {} keytbl = [] cnt = 0 q = int(input()) for i in range(q): a = list(input().split()) ki = int(a[1]) if a[0] == '0': if ki not in dict: dict[ki] = 1 insort_left(keytbl, ...
output
1
108,612
5
217,225
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Rep...
instruction
0
108,613
5
217,226
"Correct Solution: ``` import sys import bisect s = [] input() for q in sys.stdin: q = q.split() q[1:] = list(map(int, q[1:])) if q[0] == '0': bisect.insort_left(s, q[1]) print(len(s)) elif q[0] == '1': first = bisect.bisect_left(s,q[1]) end = bisect.bisect_right(s,q[1]...
output
1
108,613
5
217,227
Provide a correct Python 3 solution for this coding contest problem. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation. * find($x$): Rep...
instruction
0
108,614
5
217,228
"Correct Solution: ``` from bisect import bisect_left, bisect_right, insort_left dict = {} li = [] count = 0 q = int(input()) for i in range(q): a = input().split() t = int(a[1]) if a[0] == "0": if t not in dict: dict[t] = 1 insort_left(li, t) else: dict[t...
output
1
108,614
5
217,229
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number ...
instruction
0
108,615
5
217,230
Yes
output
1
108,615
5
217,231
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number ...
instruction
0
108,616
5
217,232
Yes
output
1
108,616
5
217,233
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number ...
instruction
0
108,617
5
217,234
Yes
output
1
108,617
5
217,235
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number ...
instruction
0
108,618
5
217,236
Yes
output
1
108,618
5
217,237
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number ...
instruction
0
108,619
5
217,238
No
output
1
108,619
5
217,239
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number ...
instruction
0
108,620
5
217,240
No
output
1
108,620
5
217,241
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$. * insert($x$): Insert $x$ to $S$ and report the number ...
instruction
0
108,621
5
217,242
No
output
1
108,621
5
217,243