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Provide a correct Python 3 solution for this coding contest problem. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785
instruction
0
100,164
11
200,328
"Correct Solution: ``` q = int(input()) for _ in range(q): a, b = map(int, input().split()) if a == b: print(2 * (a - 1)) continue if a > b: a, b = b, a ans = a - 1 l, r = -1, b - 1 while r - l > 1: k = (l + r) // 2 x = min(k, (a + 1 + k) // 2) y = (a + 1 + k) - x if x * y < a * b: l = k else: r = k ans += l print(ans) ```
output
1
100,164
11
200,329
Provide a correct Python 3 solution for this coding contest problem. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785
instruction
0
100,165
11
200,330
"Correct Solution: ``` Q = int(input()) def solve(a, b): if a == b: return 2 * a - 2 if b < a: return solve(b, a) lb, ub, ab = a, 2 * b, a * b while 1 < ub - lb: mid = (lb + ub) // 2 maxp = (mid + 1) // 2 * (mid // 2 + 1) if maxp < ab: lb = mid else: ub = mid return lb - 1 for _ in range(Q): a, b = map(int, input().split()) print(solve(a, b)) ```
output
1
100,165
11
200,331
Provide a correct Python 3 solution for this coding contest problem. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785
instruction
0
100,166
11
200,332
"Correct Solution: ``` import sys stdin = sys.stdin sys.setrecursionlimit(10**5) def li(): return map(int, stdin.readline().split()) def li_(): return map(lambda x: int(x)-1, stdin.readline().split()) def lf(): return map(float, stdin.readline().split()) def ls(): return stdin.readline().split() def ns(): return stdin.readline().rstrip() def lc(): return list(ns()) def ni(): return int(stdin.readline()) def nf(): return float(stdin.readline()) from math import sqrt def wc(a:int, b:int) -> int: if a == b: return 2*a - 2 elif abs(a-b) == 1: return 2*min(a,b) - 2 else: c = int(sqrt(a*b)) if a*b == c*c: c -= 1 if a*b > c*(c+1): return 2*c - 1 else: return 2*c - 2 q = ni() query = [tuple(li()) for _ in range(q)] for a,b in query: print(wc(a,b)) ```
output
1
100,166
11
200,333
Provide a correct Python 3 solution for this coding contest problem. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785
instruction
0
100,167
11
200,334
"Correct Solution: ``` Q, *AB = map(int, open(0).read().split()) for a, b in zip(*[iter(AB)] * 2): if a == b or a + 1 == b: print(2 * a - 2) else: c = int((a * b) ** 0.5) if c * c == a * b: c -= 1 if c * (c + 1) >= a * b: print(2 * c - 2) else: print(2 * c - 1) ```
output
1
100,167
11
200,335
Provide a correct Python 3 solution for this coding contest problem. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785
instruction
0
100,168
11
200,336
"Correct Solution: ``` ## ABC 093 D Worst Case import math Q = int(input()) ans = [] for i in range(Q): A,B = list(map(int,input().split())) C = math.floor(math.sqrt(A*B)-1e-7) if A <= B: pass else: t = A A = B B = t #解説より、場合分け # コンテスト成績をA<=Bとして、A==Bなら、 if A == B: ans.append(2*A-2) # 2A-2 # A+1==Bなら elif (A+1) == B: ans.append(2*A-2) # 2A-2 # C^2 <AB の最大のCで C(C+1) >= ABなら # 2C-2 elif C*(C+1) >= A*B: ans.append(2*C-2) # C^2 < ABなら # 2C-1 else: ans.append(2*C-1) for a in ans: print(a) ```
output
1
100,168
11
200,337
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785 Submitted Solution: ``` #!/usr/bin/env python3 import math def main(): Q = int(input()) A = [] B = [] for i in range(Q): na = list(map(int, input().split())) A.append(na[0]) B.append(na[1]) for i in range(Q): a, b = A[i], B[i] if a == b: print(a * 2 - 2) continue c = a * b d = int(math.sqrt(c)) if d * (d + 1) < c: print(d * 2 - 1) elif d ** 2 == c: print(d * 2 - 3) else: print(d * 2 - 2) if __name__ == '__main__': main() ```
instruction
0
100,169
11
200,338
Yes
output
1
100,169
11
200,339
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785 Submitted Solution: ``` import sys,heapq input = sys.stdin.buffer.readline Q = int(input()) def f(x,y): ma = x*y - 1 ok = 0 ng = 10**9 + 1 while ng - ok > 1: mid = (ok+ng)//2 if mid**2 <= ma: ok = mid else: ng = mid return ok ans = [] for testcase in range(Q): a,b = map(int,input().split()) if a == 1 and b == 1: ans.append(0) continue p = f(a,b) res = p*2 if a != b: res -= 1 if p == (a*b - 1)//p: res -= 1 ans.append(res) print(*ans,sep='\n') ```
instruction
0
100,170
11
200,340
Yes
output
1
100,170
11
200,341
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785 Submitted Solution: ``` # 5,10とする # 片方は7位以下 # (7,7) (6,8) (5,-) (4,9) (3,11) (2,12) (1,13) # (8,6) (9,5) (10,4) (11,3) (12,2) (13,1) # 5,12とする # (7,8) - (1,14) except 5 # (8,7) - (14,1) Q = int(input()) AB = [[int(x) for x in input().split()] for _ in range(Q)] for a,b in AB: if a > b: a,b = b,a answer = 0 x = int((a*b)**0.5)-2 while (x+1)*(x+1) < a*b: x += 1 y = x answer = 2*x-1 if a <= x: answer -= 1 if x*(x+1) < a*b: answer += 1 print(answer) ```
instruction
0
100,171
11
200,342
Yes
output
1
100,171
11
200,343
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785 Submitted Solution: ``` def binsearch(good, bad, fn): while abs(good - bad) > 1: m = (good + bad) // 2 if fn(m): good = m else: bad = m return good def solve(a, b): if a > b: a, b = b, a if a == b: return 2 * (a - 1) t = binsearch(1, a * b, lambda x: (x + 1) // 2 * (x // 2 + 1) < a * b) return t - 1 def main(): Q = int(input()) for _ in range(Q): a, b = map(int, input().split()) print(solve(a, b)) if __name__ == '__main__': main() ```
instruction
0
100,172
11
200,344
Yes
output
1
100,172
11
200,345
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785 Submitted Solution: ``` import sys sys.setrecursionlimit(10 ** 6) input = sys.stdin.readline def main(): q = int(input()) for _ in range(q): a, b = map(int, input().split()) c = a * b - 1 rc = int(c ** 0.5) ans = rc * 2 - 2 if c // rc == rc: ans -= 1 if a > rc: y = rc // a if y == 0: ans += 1 else: x = rc // y if x != a or (c // a == c // (a - 1)): ans += 1 if b > rc: y = rc // b if y == 0: ans += 1 else: x = rc // y if x != b or (c // b == c // (b - 1)): ans += 1 print(ans) main() ```
instruction
0
100,173
11
200,346
No
output
1
100,173
11
200,347
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785 Submitted Solution: ``` q=int(input()) a=[0 for i in range(q)] b=[0 for i in range(q)] for i in range(q): a[i],b[i]=list(map(int,input().split())) for i in range(q): result=0 mul=a[i]*b[i]-1 aa=int(mul**(1/2)) result=aa*2 if aa==int(mul/aa): result-=1 if aa>a[i]: result-=1 if aa>b[i]: result-=1 if aa<=a[i] and int(mul/a[i])*(a[i]+1)>mul and int(mul/a[i]+1)*(a[i]-1)<=mul: result-=1 if aa<=b[i] and int(mul/b[i])*(b[i]+1)>mul and int(mul/b[i]+1)*(b[i]-1)<=mul: result-=1 print(result) ```
instruction
0
100,174
11
200,348
No
output
1
100,174
11
200,349
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785 Submitted Solution: ``` #!/usr/bin/env python3 import math def main(): Q = int(input()) A = [] B = [] for i in range(Q): na = list(map(int, input().split())) A.append(na[0]) B.append(na[1]) for i in range(Q): a, b = A[i], B[i] if a == b: print(a * 2 - 2) continue c = a * b d = int(math.sqrt(c - 1)) if d * (d + 1) < c: print(d * 2 - 1) else: print(d * 2 - 2) if __name__ == '__main__': main() ```
instruction
0
100,175
11
200,350
No
output
1
100,175
11
200,351
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. 10^{10^{10}} participants, including Takahashi, competed in two programming contests. In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th. The score of a participant is the product of his/her ranks in the two contests. Process the following Q queries: * In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's. Constraints * 1 \leq Q \leq 100 * 1\leq A_i,B_i\leq 10^9(1\leq i\leq Q) * All values in input are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 : A_Q B_Q Output For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's. Example Input 8 1 4 10 5 3 3 4 11 8 9 22 40 8 36 314159265 358979323 Output 1 12 4 11 14 57 31 671644785 Submitted Solution: ``` import math def near_sqrt(a,b): c = a * b d = math.floor(math.sqrt(c)) if d*(d+1) <= c: return d else: return (d-1) q = int(input()) for i in range(q): a,b = map(int, input().split()) c = near_sqrt(a,b) if (a*b)%(c+1) == 0: print(math.floor((a*b)/(c+1))+c-2) else: print(math.floor((a*b)/(c+1))+c-1) ```
instruction
0
100,176
11
200,352
No
output
1
100,176
11
200,353
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Now Vasya is taking an exam in mathematics. In order to get a good mark, Vasya needs to guess the matrix that the teacher has constructed! Vasya knows that the matrix consists of n rows and m columns. For each row, he knows the xor (bitwise excluding or) of the elements in this row. The sequence a1, a2, ..., an denotes the xor of elements in rows with indices 1, 2, ..., n, respectively. Similarly, for each column, he knows the xor of the elements in this column. The sequence b1, b2, ..., bm denotes the xor of elements in columns with indices 1, 2, ..., m, respectively. Help Vasya! Find a matrix satisfying the given constraints or tell him that there is no suitable matrix. Input The first line contains two numbers n and m (2 ≤ n, m ≤ 100) — the dimensions of the matrix. The second line contains n numbers a1, a2, ..., an (0 ≤ ai ≤ 109), where ai is the xor of all elements in row i. The third line contains m numbers b1, b2, ..., bm (0 ≤ bi ≤ 109), where bi is the xor of all elements in column i. Output If there is no matrix satisfying the given constraints in the first line, output "NO". Otherwise, on the first line output "YES", and then n rows of m numbers in each ci1, ci2, ... , cim (0 ≤ cij ≤ 2·109) — the description of the matrix. If there are several suitable matrices, it is allowed to print any of them. Examples Input 2 3 2 9 5 3 13 Output YES 3 4 5 6 7 8 Input 3 3 1 7 6 2 15 12 Output NO Submitted Solution: ``` n,m = list(map(int,input().split(' '))) a = list(map(int,input().split(' '))) b = list(map(int,input().split(' '))) aa = 0 bb = 0 cc = 0 for i in range(max(n,m)): if i == n-1: cc = aa if i<n: aa ^= a[i] if i<m: bb ^= b[i] if aa != bb: print('NO') else: print('YES') for i in range(n-1): for j in range(m): if j < m-1: print('0',end=' ') else: print(a[i]) for j in range(m-1): print(b[j], end=' ') print(cc^b[-1]) ```
instruction
0
100,327
11
200,654
Yes
output
1
100,327
11
200,655
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Now Vasya is taking an exam in mathematics. In order to get a good mark, Vasya needs to guess the matrix that the teacher has constructed! Vasya knows that the matrix consists of n rows and m columns. For each row, he knows the xor (bitwise excluding or) of the elements in this row. The sequence a1, a2, ..., an denotes the xor of elements in rows with indices 1, 2, ..., n, respectively. Similarly, for each column, he knows the xor of the elements in this column. The sequence b1, b2, ..., bm denotes the xor of elements in columns with indices 1, 2, ..., m, respectively. Help Vasya! Find a matrix satisfying the given constraints or tell him that there is no suitable matrix. Input The first line contains two numbers n and m (2 ≤ n, m ≤ 100) — the dimensions of the matrix. The second line contains n numbers a1, a2, ..., an (0 ≤ ai ≤ 109), where ai is the xor of all elements in row i. The third line contains m numbers b1, b2, ..., bm (0 ≤ bi ≤ 109), where bi is the xor of all elements in column i. Output If there is no matrix satisfying the given constraints in the first line, output "NO". Otherwise, on the first line output "YES", and then n rows of m numbers in each ci1, ci2, ... , cim (0 ≤ cij ≤ 2·109) — the description of the matrix. If there are several suitable matrices, it is allowed to print any of them. Examples Input 2 3 2 9 5 3 13 Output YES 3 4 5 6 7 8 Input 3 3 1 7 6 2 15 12 Output NO Submitted Solution: ``` n, m = map(int, input().split()) a = [int(i) for i in input().split()] b = [int(i) for i in input().split()] ans = [[int(0)for i in range(m)] for j in range(n)] for i in range(n): ans[i][0] = a[i] for i in range(m): ans[0][i] = b[i] ans[0][0] = 0 kekw = b[0] for i in range(1,n): kekw ^= a[i] kekw1 = a[0] for j in range(1,m): kekw1 ^= b[j] if kekw != kekw1: print("NO") else: ans[0][0] = kekw print("YES") for i in range(n): print(*ans[i]) ```
instruction
0
100,328
11
200,656
Yes
output
1
100,328
11
200,657
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Now Vasya is taking an exam in mathematics. In order to get a good mark, Vasya needs to guess the matrix that the teacher has constructed! Vasya knows that the matrix consists of n rows and m columns. For each row, he knows the xor (bitwise excluding or) of the elements in this row. The sequence a1, a2, ..., an denotes the xor of elements in rows with indices 1, 2, ..., n, respectively. Similarly, for each column, he knows the xor of the elements in this column. The sequence b1, b2, ..., bm denotes the xor of elements in columns with indices 1, 2, ..., m, respectively. Help Vasya! Find a matrix satisfying the given constraints or tell him that there is no suitable matrix. Input The first line contains two numbers n and m (2 ≤ n, m ≤ 100) — the dimensions of the matrix. The second line contains n numbers a1, a2, ..., an (0 ≤ ai ≤ 109), where ai is the xor of all elements in row i. The third line contains m numbers b1, b2, ..., bm (0 ≤ bi ≤ 109), where bi is the xor of all elements in column i. Output If there is no matrix satisfying the given constraints in the first line, output "NO". Otherwise, on the first line output "YES", and then n rows of m numbers in each ci1, ci2, ... , cim (0 ≤ cij ≤ 2·109) — the description of the matrix. If there are several suitable matrices, it is allowed to print any of them. Examples Input 2 3 2 9 5 3 13 Output YES 3 4 5 6 7 8 Input 3 3 1 7 6 2 15 12 Output NO Submitted Solution: ``` I=input P=print R=range I() a=[int(i)for i in I().split()] b=[int(i)for i in I().split()] n=len(a) m=len(b) x=b[-1] for i in R(n-1):x^=a[i] y=a[-1] for i in R(m-1):y^=b[i] if x!=y:P("NO");exit() P("YES") for i in R(n-1):P("0 "*(m-1)+str(a[i])) for i in R(m-1):P(b[i],end=" ") P(x) ```
instruction
0
100,329
11
200,658
Yes
output
1
100,329
11
200,659
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Now Vasya is taking an exam in mathematics. In order to get a good mark, Vasya needs to guess the matrix that the teacher has constructed! Vasya knows that the matrix consists of n rows and m columns. For each row, he knows the xor (bitwise excluding or) of the elements in this row. The sequence a1, a2, ..., an denotes the xor of elements in rows with indices 1, 2, ..., n, respectively. Similarly, for each column, he knows the xor of the elements in this column. The sequence b1, b2, ..., bm denotes the xor of elements in columns with indices 1, 2, ..., m, respectively. Help Vasya! Find a matrix satisfying the given constraints or tell him that there is no suitable matrix. Input The first line contains two numbers n and m (2 ≤ n, m ≤ 100) — the dimensions of the matrix. The second line contains n numbers a1, a2, ..., an (0 ≤ ai ≤ 109), where ai is the xor of all elements in row i. The third line contains m numbers b1, b2, ..., bm (0 ≤ bi ≤ 109), where bi is the xor of all elements in column i. Output If there is no matrix satisfying the given constraints in the first line, output "NO". Otherwise, on the first line output "YES", and then n rows of m numbers in each ci1, ci2, ... , cim (0 ≤ cij ≤ 2·109) — the description of the matrix. If there are several suitable matrices, it is allowed to print any of them. Examples Input 2 3 2 9 5 3 13 Output YES 3 4 5 6 7 8 Input 3 3 1 7 6 2 15 12 Output NO Submitted Solution: ``` n,m = map(int,input().split()) a = list(map(int,input().split())) b = list(map(int,input().split())) x1,x2 = a[0],b[0] for i in range(1,n): x1 ^= a[i] for i in range(1,m): x2 ^= b[i] if x1!=x2: print ("NO") exit() ans = [[0 for i in range(m)] for j in range(n)] ans[0][0] = a[0]^x2^b[0] for i in range(1,m): ans[0][i] = b[i] for i in range(1,n): ans[i][0] = a[i] print ("YES") for i in range(n): print (*ans[i]) ```
instruction
0
100,330
11
200,660
Yes
output
1
100,330
11
200,661
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Now Vasya is taking an exam in mathematics. In order to get a good mark, Vasya needs to guess the matrix that the teacher has constructed! Vasya knows that the matrix consists of n rows and m columns. For each row, he knows the xor (bitwise excluding or) of the elements in this row. The sequence a1, a2, ..., an denotes the xor of elements in rows with indices 1, 2, ..., n, respectively. Similarly, for each column, he knows the xor of the elements in this column. The sequence b1, b2, ..., bm denotes the xor of elements in columns with indices 1, 2, ..., m, respectively. Help Vasya! Find a matrix satisfying the given constraints or tell him that there is no suitable matrix. Input The first line contains two numbers n and m (2 ≤ n, m ≤ 100) — the dimensions of the matrix. The second line contains n numbers a1, a2, ..., an (0 ≤ ai ≤ 109), where ai is the xor of all elements in row i. The third line contains m numbers b1, b2, ..., bm (0 ≤ bi ≤ 109), where bi is the xor of all elements in column i. Output If there is no matrix satisfying the given constraints in the first line, output "NO". Otherwise, on the first line output "YES", and then n rows of m numbers in each ci1, ci2, ... , cim (0 ≤ cij ≤ 2·109) — the description of the matrix. If there are several suitable matrices, it is allowed to print any of them. Examples Input 2 3 2 9 5 3 13 Output YES 3 4 5 6 7 8 Input 3 3 1 7 6 2 15 12 Output NO Submitted Solution: ``` def getXor(a): ans = 0 for x in a: ans |= x return ans def main(): n, m = map(int, input().split(' ')) a = [x for x in map(int, input().split(' '))] b = [x for x in map(int, input().split(' '))] rxor = getXor(a) cxor = getXor(b) if rxor != cxor: print('NO') return print('YES') for i in range(n-1): print(a[i], end='') for j in range(1, m): print(' 0', end='') print() print(b[0] | getXor(a[:-1]), end='') for j in range(1, m): print(' %d' % b[i], end ='') print() if __name__ == '__main__': main() ```
instruction
0
100,331
11
200,662
No
output
1
100,331
11
200,663
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Now Vasya is taking an exam in mathematics. In order to get a good mark, Vasya needs to guess the matrix that the teacher has constructed! Vasya knows that the matrix consists of n rows and m columns. For each row, he knows the xor (bitwise excluding or) of the elements in this row. The sequence a1, a2, ..., an denotes the xor of elements in rows with indices 1, 2, ..., n, respectively. Similarly, for each column, he knows the xor of the elements in this column. The sequence b1, b2, ..., bm denotes the xor of elements in columns with indices 1, 2, ..., m, respectively. Help Vasya! Find a matrix satisfying the given constraints or tell him that there is no suitable matrix. Input The first line contains two numbers n and m (2 ≤ n, m ≤ 100) — the dimensions of the matrix. The second line contains n numbers a1, a2, ..., an (0 ≤ ai ≤ 109), where ai is the xor of all elements in row i. The third line contains m numbers b1, b2, ..., bm (0 ≤ bi ≤ 109), where bi is the xor of all elements in column i. Output If there is no matrix satisfying the given constraints in the first line, output "NO". Otherwise, on the first line output "YES", and then n rows of m numbers in each ci1, ci2, ... , cim (0 ≤ cij ≤ 2·109) — the description of the matrix. If there are several suitable matrices, it is allowed to print any of them. Examples Input 2 3 2 9 5 3 13 Output YES 3 4 5 6 7 8 Input 3 3 1 7 6 2 15 12 Output NO Submitted Solution: ``` def getXor(a): ans = 0 for x in a: ans ^= x return ans def main(): n, m = map(int, input().split(' ')) a = [x for x in map(int, input().split(' '))] b = [x for x in map(int, input().split(' '))] rxor = getXor(a) cxor = getXor(b) if rxor != cxor: print('NO') return print('YES') for i in range(n-1): print(a[i], end='') for j in range(1, m): print(' 0', end='') print() print(b[0] ^ getXor(a[:-1]), end='') for j in range(1, m): print(' %d' % b[i], end ='') print() if __name__ == '__main__': main() ```
instruction
0
100,332
11
200,664
No
output
1
100,332
11
200,665
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Now Vasya is taking an exam in mathematics. In order to get a good mark, Vasya needs to guess the matrix that the teacher has constructed! Vasya knows that the matrix consists of n rows and m columns. For each row, he knows the xor (bitwise excluding or) of the elements in this row. The sequence a1, a2, ..., an denotes the xor of elements in rows with indices 1, 2, ..., n, respectively. Similarly, for each column, he knows the xor of the elements in this column. The sequence b1, b2, ..., bm denotes the xor of elements in columns with indices 1, 2, ..., m, respectively. Help Vasya! Find a matrix satisfying the given constraints or tell him that there is no suitable matrix. Input The first line contains two numbers n and m (2 ≤ n, m ≤ 100) — the dimensions of the matrix. The second line contains n numbers a1, a2, ..., an (0 ≤ ai ≤ 109), where ai is the xor of all elements in row i. The third line contains m numbers b1, b2, ..., bm (0 ≤ bi ≤ 109), where bi is the xor of all elements in column i. Output If there is no matrix satisfying the given constraints in the first line, output "NO". Otherwise, on the first line output "YES", and then n rows of m numbers in each ci1, ci2, ... , cim (0 ≤ cij ≤ 2·109) — the description of the matrix. If there are several suitable matrices, it is allowed to print any of them. Examples Input 2 3 2 9 5 3 13 Output YES 3 4 5 6 7 8 Input 3 3 1 7 6 2 15 12 Output NO Submitted Solution: ``` def getXor(a): ans = 0 for x in a: ans ^= x return ans def main(): n, m = map(int, input().split(' ')) a = [x for x in map(int, input().split(' '))] b = [x for x in map(int, input().split(' '))] rxor = getXor(a) cxor = getXor(b) if rxor != cxor: print('NO') return x = [[0] * m for _ in range(n)] x[0][0] = a[0] for i in range(1, min(n, m)): x[i][i-1] = b[i-1] ^ x[i-1][i-1] x[i][i] = a[i] ^ x[i][i-1] for i in range(m-1, n): x[i][-1] = a[i] for j in range(n-1, m): x[-1][j] = b[j] for i in range(n): print(' '.join(map(str, x[i]))) if __name__ == '__main__': main() ```
instruction
0
100,333
11
200,666
No
output
1
100,333
11
200,667
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Now Vasya is taking an exam in mathematics. In order to get a good mark, Vasya needs to guess the matrix that the teacher has constructed! Vasya knows that the matrix consists of n rows and m columns. For each row, he knows the xor (bitwise excluding or) of the elements in this row. The sequence a1, a2, ..., an denotes the xor of elements in rows with indices 1, 2, ..., n, respectively. Similarly, for each column, he knows the xor of the elements in this column. The sequence b1, b2, ..., bm denotes the xor of elements in columns with indices 1, 2, ..., m, respectively. Help Vasya! Find a matrix satisfying the given constraints or tell him that there is no suitable matrix. Input The first line contains two numbers n and m (2 ≤ n, m ≤ 100) — the dimensions of the matrix. The second line contains n numbers a1, a2, ..., an (0 ≤ ai ≤ 109), where ai is the xor of all elements in row i. The third line contains m numbers b1, b2, ..., bm (0 ≤ bi ≤ 109), where bi is the xor of all elements in column i. Output If there is no matrix satisfying the given constraints in the first line, output "NO". Otherwise, on the first line output "YES", and then n rows of m numbers in each ci1, ci2, ... , cim (0 ≤ cij ≤ 2·109) — the description of the matrix. If there are several suitable matrices, it is allowed to print any of them. Examples Input 2 3 2 9 5 3 13 Output YES 3 4 5 6 7 8 Input 3 3 1 7 6 2 15 12 Output NO Submitted Solution: ``` USE_STDIO = False if not USE_STDIO: try: import mypc except: pass def getXor(a): ans = 0 for x in a: ans ^= x return ans def main(): n, m = map(int, input().split(' ')) a = [x for x in map(int, input().split(' '))] b = [x for x in map(int, input().split(' '))] rxor = getXor(a) cxor = getXor(b) if rxor != cxor: print('NO') return x = [[0] * m for _ in range(n)] if n >= m: x[0][0] = a[0] for i in range(1, m): x[i][i-1] = b[i-1] ^ x[i-1][i-1] x[i][i] = a[i] ^ x[i][i-1] for i in range(m, n): x[i][-1] = a[i] else: x[0][0] = b[0] for i in range(1, n): x[i-1][i] = a[i-1] ^ x[i-1][i-1] x[i][i] = b[i] ^ x[i-1][i] for i in range(m, n): x[-1][i] = b[i] print('YES') for i in range(n): print(' '.join(map(str, x[i]))) if __name__ == '__main__': main() ```
instruction
0
100,334
11
200,668
No
output
1
100,334
11
200,669
Provide tags and a correct Python 3 solution for this coding contest problem. "This problem is rubbish! There is not statement, and there are only 5 test cases. The problemsetter took liberties with this problem!" — people complained in the comments to one round on Codeforces. And even more... No, wait, the checker for the problem was alright, that's a mercy. Input The only line of the input contains an integer between 1 and 5, inclusive. All tests for this problem are different. The contents of the test case doesn't need to be equal to its index. Output The only line of the output contains an integer between 1 and 3, inclusive. Examples Note This problem has no samples, since there so few test cases.
instruction
0
100,597
11
201,194
Tags: *special, brute force Correct Solution: ``` """==================================================================================== ==================================================================================== ___ _______ ___ _______ ___ ___ | /\ | | \ | | / | | | | |\ /| | / \ | | \ | | / | | | | | \ / | |___ /____\ | | \ | |/ |___| | | | \/ | | / \ | | / | |\ |\ | | | | | / \ | | / | | \ | \ | | | | ___|/ \___|___ |___/ ___|___ | \ | \ |___| | | ==================================================================================== ==================================================================================== """ # ♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥ a = int(input()) if a==3: print("1") if a==1: print("2") if a==4: print("2") if a==2: print("3") if a==5: print("1") # ♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥ """==================================================================================== ==================================================================================== ___ _______ ___ _______ ___ ___ | /\ | | \ | | / | | | | |\ /| | / \ | | \ | | / | | | | | \ / | |___ /____\ | | \ | |/ |___| | | | \/ | | / \ | | / | |\ |\ | | | | | / \ | | / | | \ | \ | | | | ___|/ \___|___ |___/ ___|___ | \ | \ |___| | | ==================================================================================== ==================================================================================== """ ```
output
1
100,597
11
201,195
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. "This problem is rubbish! There is not statement, and there are only 5 test cases. The problemsetter took liberties with this problem!" — people complained in the comments to one round on Codeforces. And even more... No, wait, the checker for the problem was alright, that's a mercy. Input The only line of the input contains an integer between 1 and 5, inclusive. All tests for this problem are different. The contents of the test case doesn't need to be equal to its index. Output The only line of the output contains an integer between 1 and 3, inclusive. Examples Note This problem has no samples, since there so few test cases. Submitted Solution: ``` __author__ = 'MARI' def time(): while True: pass def bla(a): return 2 / a def main(): a = int(input()) if a == 1:#2 print(3) if a == 2: bla(0) if a == 3:#1 print(1) if a == 4: print(2) if a == 5: time() if __name__ == '__main__': import sys argv = sys.argv main() ```
instruction
0
100,602
11
201,204
No
output
1
100,602
11
201,205
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. "This problem is rubbish! There is not statement, and there are only 5 test cases. The problemsetter took liberties with this problem!" — people complained in the comments to one round on Codeforces. And even more... No, wait, the checker for the problem was alright, that's a mercy. Input The only line of the input contains an integer between 1 and 5, inclusive. All tests for this problem are different. The contents of the test case doesn't need to be equal to its index. Output The only line of the output contains an integer between 1 and 3, inclusive. Examples Note This problem has no samples, since there so few test cases. Submitted Solution: ``` print([1,1,2,1,1,1][int(input())]) # # # # # # # # # ############################## ```
instruction
0
100,603
11
201,206
No
output
1
100,603
11
201,207
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. As the guys fried the radio station facilities, the school principal gave them tasks as a punishment. Dustin's task was to add comments to nginx configuration for school's website. The school has n servers. Each server has a name and an ip (names aren't necessarily unique, but ips are). Dustin knows the ip and name of each server. For simplicity, we'll assume that an nginx command is of form "command ip;" where command is a string consisting of English lowercase letter only, and ip is the ip of one of school servers. <image> Each ip is of form "a.b.c.d" where a, b, c and d are non-negative integers less than or equal to 255 (with no leading zeros). The nginx configuration file Dustin has to add comments to has m commands. Nobody ever memorizes the ips of servers, so to understand the configuration better, Dustin has to comment the name of server that the ip belongs to at the end of each line (after each command). More formally, if a line is "command ip;" Dustin has to replace it with "command ip; #name" where name is the name of the server with ip equal to ip. Dustin doesn't know anything about nginx, so he panicked again and his friends asked you to do his task for him. Input The first line of input contains two integers n and m (1 ≤ n, m ≤ 1000). The next n lines contain the names and ips of the servers. Each line contains a string name, name of the server and a string ip, ip of the server, separated by space (1 ≤ |name| ≤ 10, name only consists of English lowercase letters). It is guaranteed that all ip are distinct. The next m lines contain the commands in the configuration file. Each line is of form "command ip;" (1 ≤ |command| ≤ 10, command only consists of English lowercase letters). It is guaranteed that ip belongs to one of the n school servers. Output Print m lines, the commands in the configuration file after Dustin did his task. Examples Input 2 2 main 192.168.0.2 replica 192.168.0.1 block 192.168.0.1; proxy 192.168.0.2; Output block 192.168.0.1; #replica proxy 192.168.0.2; #main Input 3 5 google 8.8.8.8 codeforces 212.193.33.27 server 138.197.64.57 redirect 138.197.64.57; block 8.8.8.8; cf 212.193.33.27; unblock 8.8.8.8; check 138.197.64.57; Output redirect 138.197.64.57; #server block 8.8.8.8; #google cf 212.193.33.27; #codeforces unblock 8.8.8.8; #google check 138.197.64.57; #server Submitted Solution: ``` n,m=[int(x) for x in input().split()] arr=[] for _ in range(n): name,ip=input().split() arr.append((name,ip)) for _ in range(m): name,ip=input().split() ip1=ip[:-1] for i,j in arr: if ip1==j: print(name,ip,'#'+i) ```
instruction
0
100,894
11
201,788
Yes
output
1
100,894
11
201,789
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. As the guys fried the radio station facilities, the school principal gave them tasks as a punishment. Dustin's task was to add comments to nginx configuration for school's website. The school has n servers. Each server has a name and an ip (names aren't necessarily unique, but ips are). Dustin knows the ip and name of each server. For simplicity, we'll assume that an nginx command is of form "command ip;" where command is a string consisting of English lowercase letter only, and ip is the ip of one of school servers. <image> Each ip is of form "a.b.c.d" where a, b, c and d are non-negative integers less than or equal to 255 (with no leading zeros). The nginx configuration file Dustin has to add comments to has m commands. Nobody ever memorizes the ips of servers, so to understand the configuration better, Dustin has to comment the name of server that the ip belongs to at the end of each line (after each command). More formally, if a line is "command ip;" Dustin has to replace it with "command ip; #name" where name is the name of the server with ip equal to ip. Dustin doesn't know anything about nginx, so he panicked again and his friends asked you to do his task for him. Input The first line of input contains two integers n and m (1 ≤ n, m ≤ 1000). The next n lines contain the names and ips of the servers. Each line contains a string name, name of the server and a string ip, ip of the server, separated by space (1 ≤ |name| ≤ 10, name only consists of English lowercase letters). It is guaranteed that all ip are distinct. The next m lines contain the commands in the configuration file. Each line is of form "command ip;" (1 ≤ |command| ≤ 10, command only consists of English lowercase letters). It is guaranteed that ip belongs to one of the n school servers. Output Print m lines, the commands in the configuration file after Dustin did his task. Examples Input 2 2 main 192.168.0.2 replica 192.168.0.1 block 192.168.0.1; proxy 192.168.0.2; Output block 192.168.0.1; #replica proxy 192.168.0.2; #main Input 3 5 google 8.8.8.8 codeforces 212.193.33.27 server 138.197.64.57 redirect 138.197.64.57; block 8.8.8.8; cf 212.193.33.27; unblock 8.8.8.8; check 138.197.64.57; Output redirect 138.197.64.57; #server block 8.8.8.8; #google cf 212.193.33.27; #codeforces unblock 8.8.8.8; #google check 138.197.64.57; #server Submitted Solution: ``` n, m = input().split() n = int(n) m = int(m) arrayStringName = [] arrayStringIp = [] for _ in range(n): name, ip = input().split() name = str(name) ip = str(ip) arrayStringName.append(name) arrayStringIp.append(ip) for i in range(m): ip = "" commandIp = str(input()) for j in range(len(commandIp)): if commandIp[j].isnumeric() == True or commandIp[j] == ".": ip += commandIp[j] getIndexInArray = arrayStringIp.index(ip) print(commandIp + " #" + arrayStringName[getIndexInArray]) ```
instruction
0
100,895
11
201,790
Yes
output
1
100,895
11
201,791
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. As the guys fried the radio station facilities, the school principal gave them tasks as a punishment. Dustin's task was to add comments to nginx configuration for school's website. The school has n servers. Each server has a name and an ip (names aren't necessarily unique, but ips are). Dustin knows the ip and name of each server. For simplicity, we'll assume that an nginx command is of form "command ip;" where command is a string consisting of English lowercase letter only, and ip is the ip of one of school servers. <image> Each ip is of form "a.b.c.d" where a, b, c and d are non-negative integers less than or equal to 255 (with no leading zeros). The nginx configuration file Dustin has to add comments to has m commands. Nobody ever memorizes the ips of servers, so to understand the configuration better, Dustin has to comment the name of server that the ip belongs to at the end of each line (after each command). More formally, if a line is "command ip;" Dustin has to replace it with "command ip; #name" where name is the name of the server with ip equal to ip. Dustin doesn't know anything about nginx, so he panicked again and his friends asked you to do his task for him. Input The first line of input contains two integers n and m (1 ≤ n, m ≤ 1000). The next n lines contain the names and ips of the servers. Each line contains a string name, name of the server and a string ip, ip of the server, separated by space (1 ≤ |name| ≤ 10, name only consists of English lowercase letters). It is guaranteed that all ip are distinct. The next m lines contain the commands in the configuration file. Each line is of form "command ip;" (1 ≤ |command| ≤ 10, command only consists of English lowercase letters). It is guaranteed that ip belongs to one of the n school servers. Output Print m lines, the commands in the configuration file after Dustin did his task. Examples Input 2 2 main 192.168.0.2 replica 192.168.0.1 block 192.168.0.1; proxy 192.168.0.2; Output block 192.168.0.1; #replica proxy 192.168.0.2; #main Input 3 5 google 8.8.8.8 codeforces 212.193.33.27 server 138.197.64.57 redirect 138.197.64.57; block 8.8.8.8; cf 212.193.33.27; unblock 8.8.8.8; check 138.197.64.57; Output redirect 138.197.64.57; #server block 8.8.8.8; #google cf 212.193.33.27; #codeforces unblock 8.8.8.8; #google check 138.197.64.57; #server Submitted Solution: ``` def find(s,ip): for i in range(len(ip)): if ip[i]==s: return i return -1 n,m=map(int,input().split()) ip,ip_dict=[],[] for i in range(n): s1=input().split() ip.append(s1[1]) ip_dict.append(s1[0]) for i in range(m): s1=input() s2=s1.split()[1] m=find(s2[:len(s2)-1],ip) print(s1,end='') print(" #",end='') print(ip_dict[m]) ```
instruction
0
100,896
11
201,792
Yes
output
1
100,896
11
201,793
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. As the guys fried the radio station facilities, the school principal gave them tasks as a punishment. Dustin's task was to add comments to nginx configuration for school's website. The school has n servers. Each server has a name and an ip (names aren't necessarily unique, but ips are). Dustin knows the ip and name of each server. For simplicity, we'll assume that an nginx command is of form "command ip;" where command is a string consisting of English lowercase letter only, and ip is the ip of one of school servers. <image> Each ip is of form "a.b.c.d" where a, b, c and d are non-negative integers less than or equal to 255 (with no leading zeros). The nginx configuration file Dustin has to add comments to has m commands. Nobody ever memorizes the ips of servers, so to understand the configuration better, Dustin has to comment the name of server that the ip belongs to at the end of each line (after each command). More formally, if a line is "command ip;" Dustin has to replace it with "command ip; #name" where name is the name of the server with ip equal to ip. Dustin doesn't know anything about nginx, so he panicked again and his friends asked you to do his task for him. Input The first line of input contains two integers n and m (1 ≤ n, m ≤ 1000). The next n lines contain the names and ips of the servers. Each line contains a string name, name of the server and a string ip, ip of the server, separated by space (1 ≤ |name| ≤ 10, name only consists of English lowercase letters). It is guaranteed that all ip are distinct. The next m lines contain the commands in the configuration file. Each line is of form "command ip;" (1 ≤ |command| ≤ 10, command only consists of English lowercase letters). It is guaranteed that ip belongs to one of the n school servers. Output Print m lines, the commands in the configuration file after Dustin did his task. Examples Input 2 2 main 192.168.0.2 replica 192.168.0.1 block 192.168.0.1; proxy 192.168.0.2; Output block 192.168.0.1; #replica proxy 192.168.0.2; #main Input 3 5 google 8.8.8.8 codeforces 212.193.33.27 server 138.197.64.57 redirect 138.197.64.57; block 8.8.8.8; cf 212.193.33.27; unblock 8.8.8.8; check 138.197.64.57; Output redirect 138.197.64.57; #server block 8.8.8.8; #google cf 212.193.33.27; #codeforces unblock 8.8.8.8; #google check 138.197.64.57; #server Submitted Solution: ``` n, m = list(map(int, input().strip().split())) host = dict() guest = dict() for i in range(n): name, ip = input().strip().split() host[ip] = name for i in range(m): name, ip = input().strip().split() newline = "#" + host[ip[:-1]] print(name, ip, newline) ```
instruction
0
100,897
11
201,794
Yes
output
1
100,897
11
201,795
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. As the guys fried the radio station facilities, the school principal gave them tasks as a punishment. Dustin's task was to add comments to nginx configuration for school's website. The school has n servers. Each server has a name and an ip (names aren't necessarily unique, but ips are). Dustin knows the ip and name of each server. For simplicity, we'll assume that an nginx command is of form "command ip;" where command is a string consisting of English lowercase letter only, and ip is the ip of one of school servers. <image> Each ip is of form "a.b.c.d" where a, b, c and d are non-negative integers less than or equal to 255 (with no leading zeros). The nginx configuration file Dustin has to add comments to has m commands. Nobody ever memorizes the ips of servers, so to understand the configuration better, Dustin has to comment the name of server that the ip belongs to at the end of each line (after each command). More formally, if a line is "command ip;" Dustin has to replace it with "command ip; #name" where name is the name of the server with ip equal to ip. Dustin doesn't know anything about nginx, so he panicked again and his friends asked you to do his task for him. Input The first line of input contains two integers n and m (1 ≤ n, m ≤ 1000). The next n lines contain the names and ips of the servers. Each line contains a string name, name of the server and a string ip, ip of the server, separated by space (1 ≤ |name| ≤ 10, name only consists of English lowercase letters). It is guaranteed that all ip are distinct. The next m lines contain the commands in the configuration file. Each line is of form "command ip;" (1 ≤ |command| ≤ 10, command only consists of English lowercase letters). It is guaranteed that ip belongs to one of the n school servers. Output Print m lines, the commands in the configuration file after Dustin did his task. Examples Input 2 2 main 192.168.0.2 replica 192.168.0.1 block 192.168.0.1; proxy 192.168.0.2; Output block 192.168.0.1; #replica proxy 192.168.0.2; #main Input 3 5 google 8.8.8.8 codeforces 212.193.33.27 server 138.197.64.57 redirect 138.197.64.57; block 8.8.8.8; cf 212.193.33.27; unblock 8.8.8.8; check 138.197.64.57; Output redirect 138.197.64.57; #server block 8.8.8.8; #google cf 212.193.33.27; #codeforces unblock 8.8.8.8; #google check 138.197.64.57; #server Submitted Solution: ``` a = [] a = list(map(int, input().split())) n = a[0] m = a[1] mymap = {} commands = [] for i in range(0, n): vin = list(input().split()) mymap[(vin[1])] = vin[0] for i in range(0, m): command = input().strip(';') commands.append(command) for i in range(0, m): command = commands[i]; ip = list(command.split())[1] output = (commands[i]) + ' #' + (mymap[ip]) print(output) ```
instruction
0
100,898
11
201,796
No
output
1
100,898
11
201,797
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. As the guys fried the radio station facilities, the school principal gave them tasks as a punishment. Dustin's task was to add comments to nginx configuration for school's website. The school has n servers. Each server has a name and an ip (names aren't necessarily unique, but ips are). Dustin knows the ip and name of each server. For simplicity, we'll assume that an nginx command is of form "command ip;" where command is a string consisting of English lowercase letter only, and ip is the ip of one of school servers. <image> Each ip is of form "a.b.c.d" where a, b, c and d are non-negative integers less than or equal to 255 (with no leading zeros). The nginx configuration file Dustin has to add comments to has m commands. Nobody ever memorizes the ips of servers, so to understand the configuration better, Dustin has to comment the name of server that the ip belongs to at the end of each line (after each command). More formally, if a line is "command ip;" Dustin has to replace it with "command ip; #name" where name is the name of the server with ip equal to ip. Dustin doesn't know anything about nginx, so he panicked again and his friends asked you to do his task for him. Input The first line of input contains two integers n and m (1 ≤ n, m ≤ 1000). The next n lines contain the names and ips of the servers. Each line contains a string name, name of the server and a string ip, ip of the server, separated by space (1 ≤ |name| ≤ 10, name only consists of English lowercase letters). It is guaranteed that all ip are distinct. The next m lines contain the commands in the configuration file. Each line is of form "command ip;" (1 ≤ |command| ≤ 10, command only consists of English lowercase letters). It is guaranteed that ip belongs to one of the n school servers. Output Print m lines, the commands in the configuration file after Dustin did his task. Examples Input 2 2 main 192.168.0.2 replica 192.168.0.1 block 192.168.0.1; proxy 192.168.0.2; Output block 192.168.0.1; #replica proxy 192.168.0.2; #main Input 3 5 google 8.8.8.8 codeforces 212.193.33.27 server 138.197.64.57 redirect 138.197.64.57; block 8.8.8.8; cf 212.193.33.27; unblock 8.8.8.8; check 138.197.64.57; Output redirect 138.197.64.57; #server block 8.8.8.8; #google cf 212.193.33.27; #codeforces unblock 8.8.8.8; #google check 138.197.64.57; #server Submitted Solution: ``` def get_keys_with_value(dic, value): return [key for key, val in dic.items() if val == value] n,m=map(int,input().split()) server={} for i in range(n): n_=list(map(str,input().split())) server[n_[0]]=n_[1] #print(server) for i in range (m): m_=list(map(str,input().split())) m_[1] = m_[1].replace(";", "") for j in server.values(): if j == m_[1]: res=get_keys_with_value(server, j) res= "".join(map(str,res)) print(f"{m_[0]} {m_[1]}; #{res}") ```
instruction
0
100,899
11
201,798
No
output
1
100,899
11
201,799
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. As the guys fried the radio station facilities, the school principal gave them tasks as a punishment. Dustin's task was to add comments to nginx configuration for school's website. The school has n servers. Each server has a name and an ip (names aren't necessarily unique, but ips are). Dustin knows the ip and name of each server. For simplicity, we'll assume that an nginx command is of form "command ip;" where command is a string consisting of English lowercase letter only, and ip is the ip of one of school servers. <image> Each ip is of form "a.b.c.d" where a, b, c and d are non-negative integers less than or equal to 255 (with no leading zeros). The nginx configuration file Dustin has to add comments to has m commands. Nobody ever memorizes the ips of servers, so to understand the configuration better, Dustin has to comment the name of server that the ip belongs to at the end of each line (after each command). More formally, if a line is "command ip;" Dustin has to replace it with "command ip; #name" where name is the name of the server with ip equal to ip. Dustin doesn't know anything about nginx, so he panicked again and his friends asked you to do his task for him. Input The first line of input contains two integers n and m (1 ≤ n, m ≤ 1000). The next n lines contain the names and ips of the servers. Each line contains a string name, name of the server and a string ip, ip of the server, separated by space (1 ≤ |name| ≤ 10, name only consists of English lowercase letters). It is guaranteed that all ip are distinct. The next m lines contain the commands in the configuration file. Each line is of form "command ip;" (1 ≤ |command| ≤ 10, command only consists of English lowercase letters). It is guaranteed that ip belongs to one of the n school servers. Output Print m lines, the commands in the configuration file after Dustin did his task. Examples Input 2 2 main 192.168.0.2 replica 192.168.0.1 block 192.168.0.1; proxy 192.168.0.2; Output block 192.168.0.1; #replica proxy 192.168.0.2; #main Input 3 5 google 8.8.8.8 codeforces 212.193.33.27 server 138.197.64.57 redirect 138.197.64.57; block 8.8.8.8; cf 212.193.33.27; unblock 8.8.8.8; check 138.197.64.57; Output redirect 138.197.64.57; #server block 8.8.8.8; #google cf 212.193.33.27; #codeforces unblock 8.8.8.8; #google check 138.197.64.57; #server Submitted Solution: ``` main=dict() replica=dict() n,m=map(int,input().split()) for i in range(n+m): n,p=input().split(' ') if p[-1]==';': replica[n]=p[:len(p)-1] else: main[n]=p for j in replica: for i in main: if main[i]==replica[j]: print(str(j)+' '+str(main[i])+'; #'+str(i)) ```
instruction
0
100,900
11
201,800
No
output
1
100,900
11
201,801
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. As the guys fried the radio station facilities, the school principal gave them tasks as a punishment. Dustin's task was to add comments to nginx configuration for school's website. The school has n servers. Each server has a name and an ip (names aren't necessarily unique, but ips are). Dustin knows the ip and name of each server. For simplicity, we'll assume that an nginx command is of form "command ip;" where command is a string consisting of English lowercase letter only, and ip is the ip of one of school servers. <image> Each ip is of form "a.b.c.d" where a, b, c and d are non-negative integers less than or equal to 255 (with no leading zeros). The nginx configuration file Dustin has to add comments to has m commands. Nobody ever memorizes the ips of servers, so to understand the configuration better, Dustin has to comment the name of server that the ip belongs to at the end of each line (after each command). More formally, if a line is "command ip;" Dustin has to replace it with "command ip; #name" where name is the name of the server with ip equal to ip. Dustin doesn't know anything about nginx, so he panicked again and his friends asked you to do his task for him. Input The first line of input contains two integers n and m (1 ≤ n, m ≤ 1000). The next n lines contain the names and ips of the servers. Each line contains a string name, name of the server and a string ip, ip of the server, separated by space (1 ≤ |name| ≤ 10, name only consists of English lowercase letters). It is guaranteed that all ip are distinct. The next m lines contain the commands in the configuration file. Each line is of form "command ip;" (1 ≤ |command| ≤ 10, command only consists of English lowercase letters). It is guaranteed that ip belongs to one of the n school servers. Output Print m lines, the commands in the configuration file after Dustin did his task. Examples Input 2 2 main 192.168.0.2 replica 192.168.0.1 block 192.168.0.1; proxy 192.168.0.2; Output block 192.168.0.1; #replica proxy 192.168.0.2; #main Input 3 5 google 8.8.8.8 codeforces 212.193.33.27 server 138.197.64.57 redirect 138.197.64.57; block 8.8.8.8; cf 212.193.33.27; unblock 8.8.8.8; check 138.197.64.57; Output redirect 138.197.64.57; #server block 8.8.8.8; #google cf 212.193.33.27; #codeforces unblock 8.8.8.8; #google check 138.197.64.57; #server Submitted Solution: ``` n,m=map(int,input().split()) d={} while n: k,val=map(str,input().split()) d[k]=val n-=1 while m: k,val=map(str,input().split()) val1=val[:len(val)-1] for ke,va in d.items(): if va==val1: s="#"+ke print(k,val,s) break m-=1 ```
instruction
0
100,901
11
201,802
No
output
1
100,901
11
201,803
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930
instruction
0
101,064
11
202,128
"Correct Solution: ``` n = int(input()) x, y = 1, 1 for _ in range(n): t, a = map(int, input().split()) r = (x + t - 1) // t s = (y + a - 1) // a x = max(r, s) * t y = max(r, s) * a print(x+y) ```
output
1
101,064
11
202,129
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930
instruction
0
101,065
11
202,130
"Correct Solution: ``` N = int(input()) a, b = 1, 1 for _ in range(N): x, y = map(int, input().split()) mul = max(-(-a // x), -(-b // y)) a, b = mul * x, mul * y print(a + b) ```
output
1
101,065
11
202,131
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930
instruction
0
101,066
11
202,132
"Correct Solution: ``` N = int(input()) HT, HA = map(int, input().split()) for i in range(1,N): T, A = map(int, input().split()) B = max( -(-HT//T), -(-HA//A) ) HT = B * T HA = B * A print(HT+HA) ```
output
1
101,066
11
202,133
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930
instruction
0
101,067
11
202,134
"Correct Solution: ``` N=int(input()) T=[] A=[] for i in range(N): t,a=map(int,input().split()) T.append(t) A.append(a) a=1 b=1 for i in range(N): n=max((a+T[i]-1)//T[i], (b+A[i]-1)//A[i]) a=n*T[i] b=n*A[i] print(a+b) ```
output
1
101,067
11
202,135
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930
instruction
0
101,068
11
202,136
"Correct Solution: ``` t=a=1;exec('u,b=map(int,input().split());x=0-min(-t//u,-a//b);t,a=u*x,b*x;'*int(input()));print(t+a) ```
output
1
101,068
11
202,137
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930
instruction
0
101,069
11
202,138
"Correct Solution: ``` n = int(input()) a,b = 1,1 for _ in range(n): x,y = map(int,input().split()) k = -min(-a//x,-b//y) a,b = k*x,k*y print(a+b) ```
output
1
101,069
11
202,139
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930
instruction
0
101,070
11
202,140
"Correct Solution: ``` import math N=int(input()) T=[list(map(int,input().split())) for i in range(N)] cur=[1,1] for i in T: K=max(cur[0]//i[0]+(cur[0]%i[0]!=0),cur[1]//i[1]+(cur[1]%i[1]!=0)) cur=[j*K for j in i] print(sum(cur)) ```
output
1
101,070
11
202,141
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930
instruction
0
101,071
11
202,142
"Correct Solution: ``` t=a=1 for i in range(int(input())): T,A=map(int,input().split()) n=max(-(-t//T),-(-a//A)) t=n*T a=n*A print(t+a) ```
output
1
101,071
11
202,143
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930 Submitted Solution: ``` n = int(input()) a = 1 b = 1 for i in range(n): c,d = map(int,input().split()) num = max((a+c-1)//c,(b+d-1)//d) a = num*c b = num*d print(a+b) ```
instruction
0
101,072
11
202,144
Yes
output
1
101,072
11
202,145
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930 Submitted Solution: ``` n = int(input()) a = 0 b = 0 for _ in range(n): x, y = map(int, input().split()) if not a: a, b = x, y continue z = max(-(-a // x), -(-b // y)) a, b = z * x, z * y print(a + b) ```
instruction
0
101,073
11
202,146
Yes
output
1
101,073
11
202,147
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930 Submitted Solution: ``` n=int(input());a,b=map(int,input().split()) for i in range(n-1): c,d=map(int,input().split()) m=max((a-1)//c,(b-1)//d)+1 a,b=c*m,d*m print(a+b) ```
instruction
0
101,074
11
202,148
Yes
output
1
101,074
11
202,149
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930 Submitted Solution: ``` n=int(input()) t0,a0=1,1 for i in range(n): t,a=map(int,input().split()) if t0/a0>t/a: while t0%t != 0: t0+=1 a0=t0*a//t elif t0/a0<t/a: while a0%a != 0: a0+=1 t0=a0*t//a print(t0+a0) ```
instruction
0
101,075
11
202,150
Yes
output
1
101,075
11
202,151
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930 Submitted Solution: ``` import math # input N = int(input()) TA = [list(map(int, input().split())) for _ in range(N)] T = 1 # 高橋くんの最小得票数 A = 1 # 青木くんの最小得票数 ans = 2 for i in range(0, N): g = max(math.ceil(T / TA[i][0]), math.ceil(A / TA[i][1])) T = TA[i][0] * g A = TA[i][1] * g ans = T + A print(ans) ```
instruction
0
101,076
11
202,152
No
output
1
101,076
11
202,153
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930 Submitted Solution: ``` n = int(input()) vlist = [input().split() for i in range(n)] for m in range(n) : vlist[m] = [int(l) for l in vlist[m]] for j in range(n-1) : if vlist[j][0] <= vlist[j+1][0] and vlist[j][1] <= vlist[j][1] : continue if vlist[j][0] > vlist[j+1][0] and vlist[j][0] > vlist[j][1] : vlist[j+1] = [int(k*(np.lcm(vlist[j][0], vlist[j+1][0]))/vlist[j+1][0]) for k in vlist[j+1]] continue elif vlist[j][1] > vlist[j+1][1] and vlist[j][1] > vlist[j][0]: vlist[j+1] = [int(k*(np.lcm(vlist[j][1], vlist[j+1][1]))/vlist[j+1][1]) for k in vlist[j+1]] continue elif vlist[j+1][0] > vlist[j+1][1] : vlist[j+1] = [int(k*(np.lcm(vlist[j][1], vlist[j+1][1]))/vlist[j+1][1]) for k in vlist[j+1]] continue else : vlist[j+1] = [int(k*(np.lcm(vlist[j][0], vlist[j+1][0]))/vlist[j+1][0]) for k in vlist[j+1]] print(sum(vlist[n-1])) ```
instruction
0
101,077
11
202,154
No
output
1
101,077
11
202,155
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930 Submitted Solution: ``` from math import ceil n = int(input()) ratio = [list(map(int, input().split())) for _ in range(n)] t_voted, a_voted = ratio[0][0], ratio[0][1] for t, a in ratio[1:]: if t < t_voted and a < a_voted: t_voted = t a_voted = a else: val = max(ceil(t_voted / t), ceil(a_voted / a)) t_voted = t * val a_voted = a * val print(t_voted + a_voted) ```
instruction
0
101,078
11
202,156
No
output
1
101,078
11
202,157
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer is seeing a quick report of election results on TV. Two candidates are standing for the election: Takahashi and Aoki. The report shows the ratio of the current numbers of votes the two candidates have obtained, but not the actual numbers of votes. AtCoDeer has checked the report N times, and when he checked it for the i-th (1≦i≦N) time, the ratio was T_i:A_i. It is known that each candidate had at least one vote when he checked the report for the first time. Find the minimum possible total number of votes obtained by the two candidates when he checked the report for the N-th time. It can be assumed that the number of votes obtained by each candidate never decreases. Constraints * 1≦N≦1000 * 1≦T_i,A_i≦1000 (1≦i≦N) * T_i and A_i (1≦i≦N) are coprime. * It is guaranteed that the correct answer is at most 10^{18}. Input The input is given from Standard Input in the following format: N T_1 A_1 T_2 A_2 : T_N A_N Output Print the minimum possible total number of votes obtained by Takahashi and Aoki when AtCoDeer checked the report for the N-th time. Examples Input 3 2 3 1 1 3 2 Output 10 Input 4 1 1 1 1 1 5 1 100 Output 101 Input 5 3 10 48 17 31 199 231 23 3 2 Output 6930 Submitted Solution: ``` from math import ceil n = int(input()) sa, st = 1, 1 while n: n -= 1 a, t = map(int, input().split()) if sa <= a: if st <= t: sa, st = a, t else: r = ceil(st / t) sa, st = a * r, t * r else: ra = ceil(sa / a) if st <= t * ra: sa, st = a * ra, t * ra else: rt = ceil(st / t) sa, st = a * rt, t * rt print(sa + st) ```
instruction
0
101,079
11
202,158
No
output
1
101,079
11
202,159
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I have a sequence defined as follows: * All even-numbered terms are equal to the previous term multiplied by 2. * All odd-numbered terms are equal to the previous term divided by 3. Create a program that reads the first term a of this sequence and outputs the sum s (10) from the first term to the tenth term. Input The input consists of multiple test cases. For each test case, a real number a (1.0 ≤ a ≤ 10.0) representing the first term of the sequence is given in one row. The number of test cases does not exceed 50. Output Print s (10) on one line for each test case. The output may contain an error of 0.000001 or less. Example Input 1.0 2.0 3.0 Output 7.81481481 15.62962963 23.44444444 Submitted Solution: ``` import sys f = sys.stdin for a in f: a = float(a) s = a for i in range(2, 10 + 1): a = a / 3 if i % 2 else a * 2 s += a print('{:.8f}'.format(s)) ```
instruction
0
101,088
11
202,176
Yes
output
1
101,088
11
202,177
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I have a sequence defined as follows: * All even-numbered terms are equal to the previous term multiplied by 2. * All odd-numbered terms are equal to the previous term divided by 3. Create a program that reads the first term a of this sequence and outputs the sum s (10) from the first term to the tenth term. Input The input consists of multiple test cases. For each test case, a real number a (1.0 ≤ a ≤ 10.0) representing the first term of the sequence is given in one row. The number of test cases does not exceed 50. Output Print s (10) on one line for each test case. The output may contain an error of 0.000001 or less. Example Input 1.0 2.0 3.0 Output 7.81481481 15.62962963 23.44444444 Submitted Solution: ``` while True: try: a = float(input()) except: break total = a for i in range(2, 11): tmp = a / 3 if i % 2 else a * 2 total += tmp a = tmp print(total) ```
instruction
0
101,089
11
202,178
Yes
output
1
101,089
11
202,179