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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two integers a and b. You may perform any number of operations on them (possibly zero). During each operation you should choose any positive integer x and set a := a - x, b := b -...
instruction
0
963
5
1,926
No
output
1
963
5
1,927
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two integers a and b. You may perform any number of operations on them (possibly zero). During each operation you should choose any positive integer x and set a := a - x, b := b -...
instruction
0
964
5
1,928
No
output
1
964
5
1,929
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence a_1, a_2, …, a_n of non-negative integers. You need to find the largest number m of triples (i_1, j_1, k_1), (i_2, j_2, k_2), ..., (i_m, j_m, k_m) such that: * 1 ≤ i...
instruction
0
1,047
5
2,094
No
output
1
1,047
5
2,095
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence a_1, a_2, …, a_n of non-negative integers. You need to find the largest number m of triples (i_1, j_1, k_1), (i_2, j_2, k_2), ..., (i_m, j_m, k_m) such that: * 1 ≤ i...
instruction
0
1,048
5
2,096
No
output
1
1,048
5
2,097
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence a_1, a_2, …, a_n of non-negative integers. You need to find the largest number m of triples (i_1, j_1, k_1), (i_2, j_2, k_2), ..., (i_m, j_m, k_m) such that: * 1 ≤ i...
instruction
0
1,049
5
2,098
No
output
1
1,049
5
2,099
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence a_1, a_2, …, a_n of non-negative integers. You need to find the largest number m of triples (i_1, j_1, k_1), (i_2, j_2, k_2), ..., (i_m, j_m, k_m) such that: * 1 ≤ i...
instruction
0
1,050
5
2,100
No
output
1
1,050
5
2,101
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a multiset of powers of two. More precisely, for each i from 0 to n exclusive you have cnt_i elements equal to 2^i. In one operation, you can choose any one element 2^l > 1 and di...
instruction
0
1,063
5
2,126
No
output
1
1,063
5
2,127
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a multiset of powers of two. More precisely, for each i from 0 to n exclusive you have cnt_i elements equal to 2^i. In one operation, you can choose any one element 2^l > 1 and di...
instruction
0
1,064
5
2,128
No
output
1
1,064
5
2,129
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Chloe, the same as Vladik, is a competitive programmer. She didn't have any problems to get to the olympiad like Vladik, but she was confused by the task proposed on the olympiad. Let's conside...
instruction
0
1,355
5
2,710
Yes
output
1
1,355
5
2,711
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Chloe, the same as Vladik, is a competitive programmer. She didn't have any problems to get to the olympiad like Vladik, but she was confused by the task proposed on the olympiad. Let's conside...
instruction
0
1,357
5
2,714
Yes
output
1
1,357
5
2,715
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Chloe, the same as Vladik, is a competitive programmer. She didn't have any problems to get to the olympiad like Vladik, but she was confused by the task proposed on the olympiad. Let's conside...
instruction
0
1,358
5
2,716
Yes
output
1
1,358
5
2,717
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Chloe, the same as Vladik, is a competitive programmer. She didn't have any problems to get to the olympiad like Vladik, but she was confused by the task proposed on the olympiad. Let's conside...
instruction
0
1,359
5
2,718
No
output
1
1,359
5
2,719
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Chloe, the same as Vladik, is a competitive programmer. She didn't have any problems to get to the olympiad like Vladik, but she was confused by the task proposed on the olympiad. Let's conside...
instruction
0
1,360
5
2,720
No
output
1
1,360
5
2,721
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Chloe, the same as Vladik, is a competitive programmer. She didn't have any problems to get to the olympiad like Vladik, but she was confused by the task proposed on the olympiad. Let's conside...
instruction
0
1,361
5
2,722
No
output
1
1,361
5
2,723
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Chloe, the same as Vladik, is a competitive programmer. She didn't have any problems to get to the olympiad like Vladik, but she was confused by the task proposed on the olympiad. Let's conside...
instruction
0
1,362
5
2,724
No
output
1
1,362
5
2,725
Provide a correct Python 3 solution for this coding contest problem. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 10^9 + 7. Constraints * 1 \leq S \leq 2000 * All values...
instruction
0
1,428
5
2,856
"Correct Solution: ``` s = int(input()) mod = 10**9 + 7 dp = [0]*(s+1) dp[0] = 1 x = 0 for i in range(1,s+1): if i >= 3: x += dp[i-3] dp[i] = x print(dp[s]%mod) ```
output
1
1,428
5
2,857
Provide a correct Python 3 solution for this coding contest problem. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 10^9 + 7. Constraints * 1 \leq S \leq 2000 * All values...
instruction
0
1,429
5
2,858
"Correct Solution: ``` ans = [0]*2001 for i in range(3, 6): ans[i] = 1 for i in range(6, 2001): tmp = i - 3 ans[i] = (sum(ans[3:tmp+1])+1)%(10**9+7) print(ans[int(input())]) ```
output
1
1,429
5
2,859
Provide a correct Python 3 solution for this coding contest problem. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 10^9 + 7. Constraints * 1 \leq S \leq 2000 * All values...
instruction
0
1,430
5
2,860
"Correct Solution: ``` s = int(input()) mod = 1000000007 dp = [0]*(s+1) dp[0] = 1 for i in range(3,s+1): for j in range(i-2): dp[i] += dp[j] dp[i] %= mod print(dp[s]) ```
output
1
1,430
5
2,861
Provide a correct Python 3 solution for this coding contest problem. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 10^9 + 7. Constraints * 1 \leq S \leq 2000 * All values...
instruction
0
1,431
5
2,862
"Correct Solution: ``` s = int(input()) MOD = 10**9+7 dp = [0] * (s+1) dp[0] = 1 for i in range(s+1): for j in range(0, i-3+1): dp[i] += dp[j] dp[i] %= MOD print(dp[s]) ```
output
1
1,431
5
2,863
Provide a correct Python 3 solution for this coding contest problem. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 10^9 + 7. Constraints * 1 \leq S \leq 2000 * All values...
instruction
0
1,432
5
2,864
"Correct Solution: ``` S=int(input()) f=[1,0,0] for i in range(S-2):f.append(f[i]+f[i+2]) print(f[S]%(10**9+7)) ```
output
1
1,432
5
2,865
Provide a correct Python 3 solution for this coding contest problem. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 10^9 + 7. Constraints * 1 \leq S \leq 2000 * All values...
instruction
0
1,433
5
2,866
"Correct Solution: ``` s = int(input()) dp = [0 for _ in range(s+1)] MOD = 10**9+7 for i in range(3,s+1): dp[i] = 1 for j in range(3,i-2): dp[i] += dp[i-j] dp[i] %= MOD print(dp[s]) ```
output
1
1,433
5
2,867
Provide a correct Python 3 solution for this coding contest problem. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 10^9 + 7. Constraints * 1 \leq S \leq 2000 * All values...
instruction
0
1,434
5
2,868
"Correct Solution: ``` s = int(input()) m = 10**9+7 a = [1,0,0,1,1,1,2] if s < 7: print(a[s]) exit() for i in range(7,s+1): a.append((sum(a[3:i-2])+1)%m) print(a[s]) ```
output
1
1,434
5
2,869
Provide a correct Python 3 solution for this coding contest problem. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 10^9 + 7. Constraints * 1 \leq S \leq 2000 * All values...
instruction
0
1,435
5
2,870
"Correct Solution: ``` n=int(input()) M=10**9+7 F=[1] for i in range(1,2001): F+=[i*F[-1]%M] c=lambda n,r: F[n]*pow(F[r]*F[n-r],M-2,M)%M a=0 for i in range(n//3): n-=3 a=(a+c(n+i,n))%M print(a) ```
output
1
1,435
5
2,871
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 1...
instruction
0
1,436
5
2,872
Yes
output
1
1,436
5
2,873
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 1...
instruction
0
1,437
5
2,874
Yes
output
1
1,437
5
2,875
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 1...
instruction
0
1,438
5
2,876
Yes
output
1
1,438
5
2,877
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 1...
instruction
0
1,439
5
2,878
Yes
output
1
1,439
5
2,879
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 1...
instruction
0
1,440
5
2,880
No
output
1
1,440
5
2,881
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 1...
instruction
0
1,441
5
2,882
No
output
1
1,441
5
2,883
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 1...
instruction
0
1,442
5
2,884
No
output
1
1,442
5
2,885
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is an integer S. Find how many sequences there are whose terms are all integers greater than or equal to 3, and whose sum is equal to S. The answer can be very large, so output it modulo 1...
instruction
0
1,443
5
2,886
No
output
1
1,443
5
2,887
Provide a correct Python 3 solution for this coding contest problem. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the minimum possible total cost of those operations. * Change ...
instruction
0
1,460
5
2,920
"Correct Solution: ``` n = int(input()) C = list(map(int, input().split())) mod = 10**9 + 7 if n == 1: ans = 2 * C[0] ans %= mod print(ans) exit() ans = 0 pattern = 2 ** (n-1) % mod d = 2 ** (n-2) % mod C.sort(reverse=True) for c in C: ans += (c * pattern) % mod pattern += d pattern %= m...
output
1
1,460
5
2,921
Provide a correct Python 3 solution for this coding contest problem. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the minimum possible total cost of those operations. * Change ...
instruction
0
1,461
5
2,922
"Correct Solution: ``` import sys input = sys.stdin.readline N = int(input()) a = list(map(int, input().split())) a.sort(reverse = True) mod = 10 ** 9 + 7 res = 0 if N == 1: print(a[0] * 2 % mod) exit(0) for i in range(N): res += a[i] * (pow(2, N - 1, mod) % mod + pow(2, N - 2, mod) * i % mod) % mod res %= mod ...
output
1
1,461
5
2,923
Provide a correct Python 3 solution for this coding contest problem. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the minimum possible total cost of those operations. * Change ...
instruction
0
1,462
5
2,924
"Correct Solution: ``` import sys readline = sys.stdin.readline MOD = 10**9+7 N = int(readline()) C = list(map(int, readline().split())) C.sort() ans = 0 for i in range(N): ans = (ans + pow(2, 2*N-2, MOD)*C[i]*(N-i+1))%MOD print(ans) ```
output
1
1,462
5
2,925
Provide a correct Python 3 solution for this coding contest problem. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the minimum possible total cost of those operations. * Change ...
instruction
0
1,463
5
2,926
"Correct Solution: ``` import sys,bisect input = sys.stdin.readline n = int(input()) c = list(map(int,input().split())) c.sort() mod = 10**9+7 se = pow(2,mod-2,mod) res = 0 for i,e in enumerate(c): cnt = (pow(4,n,mod)%mod)*se%mod res = (res + (e*cnt))%mod res = (res + (e*pow(4,n-1,mod)%mod)*(n-1-i)%mod...
output
1
1,463
5
2,927
Provide a correct Python 3 solution for this coding contest problem. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the minimum possible total cost of those operations. * Change ...
instruction
0
1,464
5
2,928
"Correct Solution: ``` MOD = 10 ** 9 + 7 N = int(input()) C = list(map(int, input().split())) C.sort() if N == 1: print (2 * C[0] % MOD) exit() lst = [0] * (N + 3) lst[0] = 1 for i in range(1, N + 3): lst[i] = (lst[i - 1] * 2) % MOD ANS = 0 for i, c in enumerate(C): ANS += c * (N + 1 - i) ANS *= l...
output
1
1,464
5
2,929
Provide a correct Python 3 solution for this coding contest problem. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the minimum possible total cost of those operations. * Change ...
instruction
0
1,465
5
2,930
"Correct Solution: ``` mod=10**9+7 n=int(input()) arr=list(map(int,input().split())) arr=sorted(arr) ans=0 if n==1: print((2*arr[0])%mod) else: table=[1] for _ in range(n): tmp=table[-1]*2 tmp%=mod table.append(tmp) for i in range(n): if i==n-1: ans+=(table[i-1]*(n-i+1)*arr[i])%mod ...
output
1
1,465
5
2,931
Provide a correct Python 3 solution for this coding contest problem. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the minimum possible total cost of those operations. * Change ...
instruction
0
1,466
5
2,932
"Correct Solution: ``` N = int(input()) C = [int(c) for c in input().split()] C.sort() MOD = 10**9+7 p2 = [1] for i in range(2*N+10): p2 += [p2[-1]*2%MOD] ans = 0 for i in range(N): m = (p2[N-1-i]+(N-i-1)*p2[N-i-2])*C[i] # print(m) m = m*p2[N+i]%MOD ans += m print(ans%MOD) ```
output
1
1,466
5
2,933
Provide a correct Python 3 solution for this coding contest problem. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the minimum possible total cost of those operations. * Change ...
instruction
0
1,467
5
2,934
"Correct Solution: ``` mod = 10**9+7 n = int(input()) c = [int(x) for x in input().split()] c = sorted(c) ans = 0 pow2 = [1] for i in range(n+1): tmp = (pow2[-1]*2)%mod pow2.append(tmp) for i in range(n): ans += pow2[n]*pow2[i]*((n-1-i)*pow2[n-2-i] + pow2[n-1-i])*c[i] ans %= mod print(ans) ```
output
1
1,467
5
2,935
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the min...
instruction
0
1,468
5
2,936
Yes
output
1
1,468
5
2,937
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the min...
instruction
0
1,469
5
2,938
Yes
output
1
1,469
5
2,939
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the min...
instruction
0
1,470
5
2,940
Yes
output
1
1,470
5
2,941
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the min...
instruction
0
1,471
5
2,942
Yes
output
1
1,471
5
2,943
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the min...
instruction
0
1,472
5
2,944
No
output
1
1,472
5
2,945
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the min...
instruction
0
1,473
5
2,946
No
output
1
1,473
5
2,947
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the min...
instruction
0
1,474
5
2,948
No
output
1
1,474
5
2,949
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For two sequences S and T of length N consisting of 0 and 1, let us define f(S, T) as follows: * Consider repeating the following operation on S so that S will be equal to T. f(S, T) is the min...
instruction
0
1,475
5
2,950
No
output
1
1,475
5
2,951
Provide a correct Python 3 solution for this coding contest problem. We have two bottles for holding water. Bottle 1 can hold up to A milliliters of water, and now it contains B milliliters of water. Bottle 2 contains C milliliters of water. We will transfer water from Bottle 2 to Bottle 1 as much as possible. How...
instruction
0
1,476
5
2,952
"Correct Solution: ``` a,b,c= map(int,input().split()) t = min(a-b,c) print(c-t) ```
output
1
1,476
5
2,953
Provide a correct Python 3 solution for this coding contest problem. We have two bottles for holding water. Bottle 1 can hold up to A milliliters of water, and now it contains B milliliters of water. Bottle 2 contains C milliliters of water. We will transfer water from Bottle 2 to Bottle 1 as much as possible. How...
instruction
0
1,477
5
2,954
"Correct Solution: ``` a,b,c=map(int,input().split()) print(b+c-a if b+c-a>=0 else 0) ```
output
1
1,477
5
2,955
Provide a correct Python 3 solution for this coding contest problem. We have two bottles for holding water. Bottle 1 can hold up to A milliliters of water, and now it contains B milliliters of water. Bottle 2 contains C milliliters of water. We will transfer water from Bottle 2 to Bottle 1 as much as possible. How...
instruction
0
1,478
5
2,956
"Correct Solution: ``` A,B,C=map(int,input().split());print(max(0,C-A+B)) ```
output
1
1,478
5
2,957