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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are two persons, numbered 0 and 1, and a variable x whose initial value is 0. The two persons now play a game. The game is played in N rounds. The following should be done in the i-th round (1 \leq i \leq N): * Person S_i does one of the following: * Replace x with x \oplus A_i, where \oplus represents bitwise XOR. * Do nothing. Person 0 aims to have x=0 at the end of the game, while Person 1 aims to have x \neq 0 at the end of the game. Determine whether x becomes 0 at the end of the game when the two persons play optimally. Solve T test cases for each input file. Constraints * 1 \leq T \leq 100 * 1 \leq N \leq 200 * 1 \leq A_i \leq 10^{18} * S is a string of length N consisting of `0` and `1`. * All numbers in input are integers. Input Input is given from Standard Input in the following format. The first line is as follows: T Then, T test cases follow. Each test case is given in the following format: N A_1 A_2 \cdots A_N S Output For each test case, print a line containing `0` if x becomes 0 at the end of the game, and `1` otherwise. Example Input 3 2 1 2 10 2 1 1 10 6 2 3 4 5 6 7 111000 Output 1 0 0 Submitted Solution: ``` T = int(input()) ans = [] for _ in range(T): N = int(input()) A = [int(_) for _ in input().split()] S = input() dp = set([0]) for a, s in zip(A[::-1], S[::-1]): for b in dp: a = min(a, a ^ b) if s == '1': if a: dp = set() break else: dp2 = set([a]) for b in dp: dp2.add(min(b, a ^ b)) dp = dp2 ans += [0 if 0 in dp else 1] print(*ans, sep='\n') ```
instruction
0
27,149
19
54,298
Yes
output
1
27,149
19
54,299
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are two persons, numbered 0 and 1, and a variable x whose initial value is 0. The two persons now play a game. The game is played in N rounds. The following should be done in the i-th round (1 \leq i \leq N): * Person S_i does one of the following: * Replace x with x \oplus A_i, where \oplus represents bitwise XOR. * Do nothing. Person 0 aims to have x=0 at the end of the game, while Person 1 aims to have x \neq 0 at the end of the game. Determine whether x becomes 0 at the end of the game when the two persons play optimally. Solve T test cases for each input file. Constraints * 1 \leq T \leq 100 * 1 \leq N \leq 200 * 1 \leq A_i \leq 10^{18} * S is a string of length N consisting of `0` and `1`. * All numbers in input are integers. Input Input is given from Standard Input in the following format. The first line is as follows: T Then, T test cases follow. Each test case is given in the following format: N A_1 A_2 \cdots A_N S Output For each test case, print a line containing `0` if x becomes 0 at the end of the game, and `1` otherwise. Example Input 3 2 1 2 10 2 1 1 10 6 2 3 4 5 6 7 111000 Output 1 0 0 Submitted Solution: ``` T = int(input()) for t in range(T): x = 0 N = int(input()) A = list(map(int, input().split())) S = list(input()) for i in range(N): # print(S[i], A[i], x) if S[i] == '0': if x == 0: continue else: x = x ^ A[i] else: if x != 0: continue else: x = x ^ A[i] # print(x) if x == 0: print(0) else: print(1) ```
instruction
0
27,150
19
54,300
No
output
1
27,150
19
54,301
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are two persons, numbered 0 and 1, and a variable x whose initial value is 0. The two persons now play a game. The game is played in N rounds. The following should be done in the i-th round (1 \leq i \leq N): * Person S_i does one of the following: * Replace x with x \oplus A_i, where \oplus represents bitwise XOR. * Do nothing. Person 0 aims to have x=0 at the end of the game, while Person 1 aims to have x \neq 0 at the end of the game. Determine whether x becomes 0 at the end of the game when the two persons play optimally. Solve T test cases for each input file. Constraints * 1 \leq T \leq 100 * 1 \leq N \leq 200 * 1 \leq A_i \leq 10^{18} * S is a string of length N consisting of `0` and `1`. * All numbers in input are integers. Input Input is given from Standard Input in the following format. The first line is as follows: T Then, T test cases follow. Each test case is given in the following format: N A_1 A_2 \cdots A_N S Output For each test case, print a line containing `0` if x becomes 0 at the end of the game, and `1` otherwise. Example Input 3 2 1 2 10 2 1 1 10 6 2 3 4 5 6 7 111000 Output 1 0 0 Submitted Solution: ``` t = int(input()) cmpx = [] for h in range(t): n = int(input()) a = list(map(int,input().split())) s = input() x = [] y = [] m = len(str(bin(max(a)))) for j in range(n): if(s[j] == '0'): x.append(a[j]) else: y.append(a[j]) t1 = [0]*m l1 = [0]*m for i in range(len(x)): a1 = str(bin(x[i])[2:]) for j in range(1,len(a1)+1): if(a1[-j] == '1'): t1[j-1] ^= x[i] if(t1[j-1]&t1[j-1]-1 == 0): l1[len(bin(t1[j-1]))-3] = 1 q1 = 0 z1 = [] for i in range(len(l1)): if(l1[i] == 0): q1 += 2**i for i in range(len(t1)): c = t1[i]&q1 if(c&c-1): z1.append(c) t2 = [0]*m l2 = [0]*m for i in range(len(y)): a2 = str(bin(y[i])[2:]) for j in range(1,len(a2)+1): if(a2[-j] == '1'): t2[j-1] ^= y[i] if(t2[j-1]&t2[j-1]-1 == 0): l2[len(bin(t2[j-1]))-3] = 1 q2 = 0 z2 = [] for i in range(len(l2)): if(l2[i] == 0): q2 += 2**i for i in range(len(t2)): c = t2[i]&q2 if(c&c-1): z2.append(c) cmp = 0 if(q1 <= q2): for j in range(m): if(l1[j] > l2[j]): cmp = 1 break else: cmp = 1 print(cmp) ```
instruction
0
27,151
19
54,302
No
output
1
27,151
19
54,303
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are two persons, numbered 0 and 1, and a variable x whose initial value is 0. The two persons now play a game. The game is played in N rounds. The following should be done in the i-th round (1 \leq i \leq N): * Person S_i does one of the following: * Replace x with x \oplus A_i, where \oplus represents bitwise XOR. * Do nothing. Person 0 aims to have x=0 at the end of the game, while Person 1 aims to have x \neq 0 at the end of the game. Determine whether x becomes 0 at the end of the game when the two persons play optimally. Solve T test cases for each input file. Constraints * 1 \leq T \leq 100 * 1 \leq N \leq 200 * 1 \leq A_i \leq 10^{18} * S is a string of length N consisting of `0` and `1`. * All numbers in input are integers. Input Input is given from Standard Input in the following format. The first line is as follows: T Then, T test cases follow. Each test case is given in the following format: N A_1 A_2 \cdots A_N S Output For each test case, print a line containing `0` if x becomes 0 at the end of the game, and `1` otherwise. Example Input 3 2 1 2 10 2 1 1 10 6 2 3 4 5 6 7 111000 Output 1 0 0 Submitted Solution: ``` t = int(input()) for _ in range(t): x = 0 n = int(input()) a = list(map(int,input().split())) s = input() for i in range(n): mode = int(s[i]) target = a[i] if mode == 0: if x == 1 and target == 1: x = 0 else: if x == 0 and target == 1: x = 1 print(x) ```
instruction
0
27,152
19
54,304
No
output
1
27,152
19
54,305
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are two persons, numbered 0 and 1, and a variable x whose initial value is 0. The two persons now play a game. The game is played in N rounds. The following should be done in the i-th round (1 \leq i \leq N): * Person S_i does one of the following: * Replace x with x \oplus A_i, where \oplus represents bitwise XOR. * Do nothing. Person 0 aims to have x=0 at the end of the game, while Person 1 aims to have x \neq 0 at the end of the game. Determine whether x becomes 0 at the end of the game when the two persons play optimally. Solve T test cases for each input file. Constraints * 1 \leq T \leq 100 * 1 \leq N \leq 200 * 1 \leq A_i \leq 10^{18} * S is a string of length N consisting of `0` and `1`. * All numbers in input are integers. Input Input is given from Standard Input in the following format. The first line is as follows: T Then, T test cases follow. Each test case is given in the following format: N A_1 A_2 \cdots A_N S Output For each test case, print a line containing `0` if x becomes 0 at the end of the game, and `1` otherwise. Example Input 3 2 1 2 10 2 1 1 10 6 2 3 4 5 6 7 111000 Output 1 0 0 Submitted Solution: ``` import bisect import collections import copy import functools import heapq import math import sys from collections import deque from collections import defaultdict input = sys.stdin.readline MOD = 10**9+7 def ok(now,a,player): if player == "0": if now == 0: return True else: if a%2 == 1: return True else: return False else: if now == 1: return True else: if a%2 == 1: return True else: return False T = int(input()) for i in range(T): N = int(input()) A = list(map(int,(input().split()))) S = list(input().rstrip()) n = 0 for i in range(N): if ok(n,A[i],S[i]): n = int(S[i]) else: n = (int(S[i])+1)%2 if n == 0: print(0) else: print(1) ```
instruction
0
27,153
19
54,306
No
output
1
27,153
19
54,307
Provide a correct Python 3 solution for this coding contest problem. We have N dice arranged in a line from left to right. The i-th die from the left shows p_i numbers from 1 to p_i with equal probability when thrown. We will choose K adjacent dice, throw each of them independently, and compute the sum of the numbers shown. Find the maximum possible value of the expected value of this sum. Constraints * 1 ≀ K ≀ N ≀ 200000 * 1 ≀ p_i ≀ 1000 * All values in input are integers. Input Input is given from Standard Input in the following format: N K p_1 ... p_N Output Print the maximum possible value of the expected value of the sum of the numbers shown. Your output will be considered correct when its absolute or relative error from our answer is at most 10^{-6}. Examples Input 5 3 1 2 2 4 5 Output 7.000000000000 Input 4 1 6 6 6 6 Output 3.500000000000 Input 10 4 17 13 13 12 15 20 10 13 17 11 Output 32.000000000000
instruction
0
27,158
19
54,316
"Correct Solution: ``` from itertools import accumulate R = lambda: map(int, input().split()) n, k = R() a = [0] + list(accumulate(R())) print((max(y - x for x, y in zip(a, a[k:])) + k) / 2) ```
output
1
27,158
19
54,317
Provide a correct Python 3 solution for this coding contest problem. We have N dice arranged in a line from left to right. The i-th die from the left shows p_i numbers from 1 to p_i with equal probability when thrown. We will choose K adjacent dice, throw each of them independently, and compute the sum of the numbers shown. Find the maximum possible value of the expected value of this sum. Constraints * 1 ≀ K ≀ N ≀ 200000 * 1 ≀ p_i ≀ 1000 * All values in input are integers. Input Input is given from Standard Input in the following format: N K p_1 ... p_N Output Print the maximum possible value of the expected value of the sum of the numbers shown. Your output will be considered correct when its absolute or relative error from our answer is at most 10^{-6}. Examples Input 5 3 1 2 2 4 5 Output 7.000000000000 Input 4 1 6 6 6 6 Output 3.500000000000 Input 10 4 17 13 13 12 15 20 10 13 17 11 Output 32.000000000000
instruction
0
27,161
19
54,322
"Correct Solution: ``` from itertools import accumulate N, K = map(int, input().split()) P = list(map(int, input().split())) acc = [0] + list(accumulate(P)) print((max(b - a for a, b in zip(acc, acc[K:])) + K) / 2) ```
output
1
27,161
19
54,323
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N dice arranged in a line from left to right. The i-th die from the left shows p_i numbers from 1 to p_i with equal probability when thrown. We will choose K adjacent dice, throw each of them independently, and compute the sum of the numbers shown. Find the maximum possible value of the expected value of this sum. Constraints * 1 ≀ K ≀ N ≀ 200000 * 1 ≀ p_i ≀ 1000 * All values in input are integers. Input Input is given from Standard Input in the following format: N K p_1 ... p_N Output Print the maximum possible value of the expected value of the sum of the numbers shown. Your output will be considered correct when its absolute or relative error from our answer is at most 10^{-6}. Examples Input 5 3 1 2 2 4 5 Output 7.000000000000 Input 4 1 6 6 6 6 Output 3.500000000000 Input 10 4 17 13 13 12 15 20 10 13 17 11 Output 32.000000000000 Submitted Solution: ``` N,K=map(int,input().split()) P=list(map(int,input().split())) from itertools import accumulate acc=[0]+list(accumulate(P)) print((max(b-a for a,b in zip(acc,acc[K:]))+K)/2) ```
instruction
0
27,162
19
54,324
Yes
output
1
27,162
19
54,325
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N dice arranged in a line from left to right. The i-th die from the left shows p_i numbers from 1 to p_i with equal probability when thrown. We will choose K adjacent dice, throw each of them independently, and compute the sum of the numbers shown. Find the maximum possible value of the expected value of this sum. Constraints * 1 ≀ K ≀ N ≀ 200000 * 1 ≀ p_i ≀ 1000 * All values in input are integers. Input Input is given from Standard Input in the following format: N K p_1 ... p_N Output Print the maximum possible value of the expected value of the sum of the numbers shown. Your output will be considered correct when its absolute or relative error from our answer is at most 10^{-6}. Examples Input 5 3 1 2 2 4 5 Output 7.000000000000 Input 4 1 6 6 6 6 Output 3.500000000000 Input 10 4 17 13 13 12 15 20 10 13 17 11 Output 32.000000000000 Submitted Solution: ``` from itertools import accumulate N, K = map(int, input().split()) ans = [0] + list(accumulate(map(lambda x: (int(x)+1)/2., input().split()))) print(max([y-x for x,y in zip(ans, ans[K:])])) ```
instruction
0
27,164
19
54,328
Yes
output
1
27,164
19
54,329
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N dice arranged in a line from left to right. The i-th die from the left shows p_i numbers from 1 to p_i with equal probability when thrown. We will choose K adjacent dice, throw each of them independently, and compute the sum of the numbers shown. Find the maximum possible value of the expected value of this sum. Constraints * 1 ≀ K ≀ N ≀ 200000 * 1 ≀ p_i ≀ 1000 * All values in input are integers. Input Input is given from Standard Input in the following format: N K p_1 ... p_N Output Print the maximum possible value of the expected value of the sum of the numbers shown. Your output will be considered correct when its absolute or relative error from our answer is at most 10^{-6}. Examples Input 5 3 1 2 2 4 5 Output 7.000000000000 Input 4 1 6 6 6 6 Output 3.500000000000 Input 10 4 17 13 13 12 15 20 10 13 17 11 Output 32.000000000000 Submitted Solution: ``` n,k =map(int,input().split()) p = list(map(int,input().split())) kitai = [] for i in range(1,n+1): sum_k = 0 for j in range(1,p[i-1]+1): sum_k += j *(1/p[i-1]) kitai.append(sum_k) ans = [] sum_ans = 0 for i in range(k): sum_ans += kitai[i] ans.append(sum_ans) j = 0 cnt = 0 for i in range(k,len(kitai)): sum_ans = ans[cnt] sum_ans -=kitai[j] sum_ans += kitai[k] cnt +=1 j +=1 ans.append(sum_ans) print(max(ans)) ```
instruction
0
27,167
19
54,334
No
output
1
27,167
19
54,335
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N dice arranged in a line from left to right. The i-th die from the left shows p_i numbers from 1 to p_i with equal probability when thrown. We will choose K adjacent dice, throw each of them independently, and compute the sum of the numbers shown. Find the maximum possible value of the expected value of this sum. Constraints * 1 ≀ K ≀ N ≀ 200000 * 1 ≀ p_i ≀ 1000 * All values in input are integers. Input Input is given from Standard Input in the following format: N K p_1 ... p_N Output Print the maximum possible value of the expected value of the sum of the numbers shown. Your output will be considered correct when its absolute or relative error from our answer is at most 10^{-6}. Examples Input 5 3 1 2 2 4 5 Output 7.000000000000 Input 4 1 6 6 6 6 Output 3.500000000000 Input 10 4 17 13 13 12 15 20 10 13 17 11 Output 32.000000000000 Submitted Solution: ``` import numpy as np N, K = [int(i) for i in input().split()] array = [int(i) for i in input().split()] ary = np.array([(1 + n) / 2 for n in array]) cumsum = ary.cumsum() exv.append(cumsum[K-1]) for i in range(N - K): exv.append([cumsum[i+K] - cumsum[i]]) print(max(exv)[0]) ```
instruction
0
27,168
19
54,336
No
output
1
27,168
19
54,337
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N dice arranged in a line from left to right. The i-th die from the left shows p_i numbers from 1 to p_i with equal probability when thrown. We will choose K adjacent dice, throw each of them independently, and compute the sum of the numbers shown. Find the maximum possible value of the expected value of this sum. Constraints * 1 ≀ K ≀ N ≀ 200000 * 1 ≀ p_i ≀ 1000 * All values in input are integers. Input Input is given from Standard Input in the following format: N K p_1 ... p_N Output Print the maximum possible value of the expected value of the sum of the numbers shown. Your output will be considered correct when its absolute or relative error from our answer is at most 10^{-6}. Examples Input 5 3 1 2 2 4 5 Output 7.000000000000 Input 4 1 6 6 6 6 Output 3.500000000000 Input 10 4 17 13 13 12 15 20 10 13 17 11 Output 32.000000000000 Submitted Solution: ``` def h(j): l = int(j) return 0.5 * (l + 1) n, k = map(int, input().split()) ls = list(map(h, input().split())) s = [sum(ls[0:i]) for i in range(1,n+1)] a = s[k] - s[0] for i in range(0,n-k-1): if s[i + k] - s[i] < s[i + k + 1] - s[i + 1]: a = s[i + k + 1] - s[i + 1] print(a) ```
instruction
0
27,169
19
54,338
No
output
1
27,169
19
54,339
Provide a correct Python 3 solution for this coding contest problem. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1
instruction
0
27,299
19
54,598
"Correct Solution: ``` while True: L = [] H = [] for _ in range(5): c = int(input()) if c == 0: exit() L.append(c) h = set(L) if len(h) in [1, 3]: for _ in range(5): H.append(3) else: r = list(set([1,2,3])-h)[0] if r == 1: w = 2 elif r == 2: w = 3 else: w = 1 for i in L: if i == w: H.append(1) else: H.append(2) for i in H: print(i) ```
output
1
27,299
19
54,599
Provide a correct Python 3 solution for this coding contest problem. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1
instruction
0
27,300
19
54,600
"Correct Solution: ``` from sys import stdin readline = stdin.readline R, S, P = 1, 2, 3 # rock, scissors, paper W, L, D = 1, 2, 3 # win, lose, draw rps = { (R, S, P): {R: D, S: D, P: D}, (R, S): {R: W, S: L}, (S, P): {S: W, P: L}, (R, P): {P: W, R: L}, (R,): {R: D}, (S,): {S: D}, (P,): {P: D} } while True: hands = [] hands.append(int(readline())) if hands[0] == 0: break for _ in range(4): hands.append(int(readline())) hands_set = tuple(sorted(set(hands))) for h in hands: print(rps[hands_set][h]) ```
output
1
27,300
19
54,601
Provide a correct Python 3 solution for this coding contest problem. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1
instruction
0
27,301
19
54,602
"Correct Solution: ``` d = {1:2, 2:3, 3:1} while True: h = int(input()) if h == 0: break h = [h] + [int(input()) for _ in range(4)] if len(set(h)) == 3 or len(set(h)) == 1: print(*[3]*5, sep='\n') continue for c in h: print([2, 1][d[c] in h]) ```
output
1
27,301
19
54,603
Provide a correct Python 3 solution for this coding contest problem. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1
instruction
0
27,302
19
54,604
"Correct Solution: ``` # γ‚°γƒΌ:1,チョキ:2,パー:3 # 勝け:1,負け:2,あいこ:3 datas = [0] * 5 while(1): try: lens = [0] * 3 status = [0] * 3 for i in range(0,5): datas[i] = int(input()) lens[datas[i] - 1] += 1 # あいこ if (lens[0] > 0 and lens[1] > 0 and lens[2] > 0) or (lens[0] == 5 or lens[1] == 5 or lens[2] == 5): for i in range(0,5): print(3) else: # γ‚°γƒΌ if lens[0] > 0: status[1] = 2 status[2] = 1 # チョキ if lens[1] > 0: status[0] = 1 status[2] = 2 # パー if lens[2] > 0: status[0] = 2 status[1] = 1 for i in range(0,5): print(status[datas[i] - 1]) except: break ```
output
1
27,302
19
54,605
Provide a correct Python 3 solution for this coding contest problem. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1
instruction
0
27,303
19
54,606
"Correct Solution: ``` a = [] while(True): n = int(input()) if n == 0: break a.append(n) if len(a) == 5: uni = set(a) if len(uni) == 2 and 1 in uni and 2 in uni: for b in a: print(2 if b == 2 else 1) elif len(uni) == 2 and 2 in uni and 3 in uni: for b in a: print(2 if b == 3 else 1) elif len(uni) == 2 and 3 in uni and 1 in uni: for b in a: print(2 if b == 1 else 1) else: for _ in range(5): print(3) a = [] ```
output
1
27,303
19
54,607
Provide a correct Python 3 solution for this coding contest problem. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1
instruction
0
27,304
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54,608
"Correct Solution: ``` # Aizu Problem 0205: Rock Paper Scissor # import sys, math, os # read input: PYDEV = os.environ.get('PYDEV') if PYDEV=="True": sys.stdin = open("sample-input.txt", "rt") while True: try: game = [int(input()) for _ in range(5)] except EOFError: break if 1 in game and 2 in game: w = 1 elif 1 in game: w = 3 else: w = 2 if len(set(game)) != 2: for g in game: print(3) else: for g in game: print(1 if g == w else 2) ```
output
1
27,304
19
54,609
Provide a correct Python 3 solution for this coding contest problem. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1
instruction
0
27,305
19
54,610
"Correct Solution: ``` while True: try: a = [int(input()) for i in range(5)] except: break if (1 in a and 2 in a and 3 in a) or a.count(a[0]) == 5: for i in range(5): print(3) elif not 3 in a: for b in a: if b == 1: print(1) else: print(2) elif not 2 in a: for b in a: if b == 1: print(2) else: print(1) else: for b in a: if b == 2: print(1) else: print(2) ```
output
1
27,305
19
54,611
Provide a correct Python 3 solution for this coding contest problem. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1
instruction
0
27,306
19
54,612
"Correct Solution: ``` while True: h1 = int(input()) if h1 == 0: break h = [h1] + [int(input()) for _ in range(4)] if len(set(h)) == 1 or len(set(h)) == 3: print(*[3]*5, sep="\n") continue for hi in h: print([2, 1][(hi%3)+1 in h]) ```
output
1
27,306
19
54,613
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1 Submitted Solution: ``` while True: has=[False, False, False, False] n=input() if n=='0': break te=[] te.append(n) has[int(n)]=True for adf in range(4): n=input() has[int(n)] = True te.append(n) if has[1] and has[2] and has[3]: for qwer in range(5): print(3) elif te[1]==te[2] and te[2]==te[3] and te[3]==te[4] and te[0]==te[4]: for asdd in range(5): print(3) elif not has[3]: for g in range(5): if te[g]=='1': print('1') else: print('2') elif not has[2]: for g in range(5): if te[g]=='3': print('1') else: print('2') else: for g in range(5): if te[g]=='2': print('1') else: print('2') ```
instruction
0
27,307
19
54,614
Yes
output
1
27,307
19
54,615
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1 Submitted Solution: ``` # -*- coding: utf-8 -*- #import pdb; pdb.set_trace() import sys def solv(v): w = set(v) if len(w)==1 or len(w)==3: d={1:3, 2:3, 3:3} elif 1 in w and 2 in w: d={1:1, 2:2} elif 2 in w and 3 in w: d={2:1, 3:2} else: d={3:1, 1:2} return(list(map(lambda x:d[x], v) )) def main(): if True: fh = sys.stdin else: fh = open('vol2_0205.txt', 'r') try: while True: te = [] for _ in range(5): x=int(fh.readline().strip()) if x==0: raise Exception te.append(x) b=(solv(te)) for i in b: print(i) except Exception: 1 fh.close() if __name__ == '__main__': main() ```
instruction
0
27,308
19
54,616
Yes
output
1
27,308
19
54,617
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1 Submitted Solution: ``` # -*- coding: utf-8 -*- """ http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0205 """ import sys from sys import stdin input = stdin.readline def main(args): while True: hands = [0] * 5 hands[0] = int(input()) if hands[0] == 0: break hands[1] = int(input()) hands[2] = int(input()) hands[3] = int(input()) hands[4] = int(input()) # ?????????????????????????????Β±??????????????? if 1 in hands and 2 in hands and 3 in hands: # ??Β¨????????????????????Β΄??? for _ in range(5): print(3) elif hands.count(hands[0]) == 5: # ??Β¨????????????????????Β΄??? for _ in range(5): print(3) # ??????????????????????????Β±??????????????? else: for h in hands: if (h+1 in hands) or (h==3 and 1 in hands): print(1) else: print(2) if __name__ == '__main__': main(sys.argv[1:]) ```
instruction
0
27,309
19
54,618
Yes
output
1
27,309
19
54,619
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1 Submitted Solution: ``` while 1: hands = [] h = int(input()) if h == 0: break hands.append(h) for _ in range(4): h = int(input()) hands.append(h) h_uni = list(set(hands)) if len(h_uni) != 2: for _ in range(5): print(3) continue h_uni.sort() if h_uni[0] == 1 and h_uni[1] == 2: for h in hands: if h == 1: print(1) else: print(2) elif h_uni[0] == 1 and h_uni[1] == 3: for h in hands: if h == 1: print(2) else: print(1) else: for h in hands: if h == 2: print(1) else: print(2) ```
instruction
0
27,310
19
54,620
Yes
output
1
27,310
19
54,621
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1 Submitted Solution: ``` # -*- coding: utf-8 -*- #import pdb; pdb.set_trace() import sys def solv(v): w = set(v) if len(w)==1 or len(w)==3: d={1:2, 2:2, 3:2} elif 1 in w and 2 in w: d={1:1, 2:2} elif 2 in w and 3 in w: d={2:1, 3:2} else: d={3:1, 1:2} return(list(map(lambda x:d[x], v) )) def main(): if True: fh = sys.stdin else: fh = open('vol2_0205.txt', 'r') try: while True: te = [] for _ in range(5): x=int(fh.readline().strip()) if x==0: raise Exception te.append(x) b=(solv(te)) for i in b: print(i) except Exception: 1 fh.close() if __name__ == '__main__': main() ```
instruction
0
27,311
19
54,622
No
output
1
27,311
19
54,623
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1 Submitted Solution: ``` from sys import stdin readline = stdin.readline def main(): R, S, P = 1, 2, 3 W, L, D = 1, 2, 3 rps = { (R, S, P):{R:D, S:D, P:D}, (R, S) :{R:W, S:L}, (S, P) :{S:W, P:L}, (R, P) :{P:W, R:L} } while True: try: hands = [int(readline()) for _ in range(5)] except: break hand_set = tuple(sorted(set(hands))) for h in hands: print(rps[hand_set][h]) main() ```
instruction
0
27,312
19
54,624
No
output
1
27,312
19
54,625
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1 Submitted Solution: ``` while True: h1= int(input()) if h1== 0: break h2, h3, h4, h5= [int(input()) for _ in range(4)] sh= set([h1, h2, h3, h4, h5]) if len(sh)== 3: print("\n".join(["3","3","3","3","3"])) else: for h in [h1, h2, h3, h4, h5]: if h== 1: print(1 if 2 in sh else 2) elif h== 2: print(1 if 3 in sh else 2) else: print(1 if 1 in sh else 2) ```
instruction
0
27,313
19
54,626
No
output
1
27,313
19
54,627
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. I decided to play rock-paper-scissors with a group of five good friends. Rock-paper-scissors has three hands: goo, choki, and par. If the game between goo and choki is a match between goo and choki, goo is "winning" and choki is "losing". , Par and Goo have the rule that Par is "winning" and Goo is "losing". If everyone has the same hand, or if all of Goo, Choki, and Par come out, it will be "Aiko". Create a program that inputs the hands of five rock-paper-scissors players and outputs the wins and losses of each person. Rock-paper-scissors hands are represented by the numbers 1 for goo, 2 for choki, and 3 for par. Win / loss is represented by a number of 1, "win" is 1, "los" is 2, and "Aiko" is 3, and they are output according to the input order. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: h1 h2 h3 h4 h5 The i-th line is given the i-th hand hi (1, 2 or 3). The number of datasets does not exceed 200. Output Outputs the wins and losses of 5 players for each input dataset. Output the win / loss (1, 2 or 3) of the i-th person on the i-line. Example Input 1 2 3 2 1 1 2 2 2 1 0 Output 3 3 3 3 3 1 2 2 2 1 Submitted Solution: ``` from sys import stdin readline = stdin.readline def main(): R, S, P = 1, 2, 3 W, L, D = 1, 2, 3 rps = { (R, S, P):{R:D, S:D, P:D}, (R, S) :{R:W, S:L}, (S, P) :{S:W, P:L}, (R, P) :{P:W, R:L} } while True: try: hands = [int(readline()) for _ in range(5)] except: break #hand_set = tuple(sorted(set(hands))) for h in hands: if h < 1 or 3 < h: raise ValueError #print(rps[hand_set][h]) main() ```
instruction
0
27,314
19
54,628
No
output
1
27,314
19
54,629
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alica and Bob are playing a game. Initially they have a binary string s consisting of only characters 0 and 1. Alice and Bob make alternating moves: Alice makes the first move, Bob makes the second move, Alice makes the third one, and so on. During each move, the current player must choose two different adjacent characters of string s and delete them. For example, if s = 1011001 then the following moves are possible: 1. delete s_1 and s_2: 1011001 β†’ 11001; 2. delete s_2 and s_3: 1011001 β†’ 11001; 3. delete s_4 and s_5: 1011001 β†’ 10101; 4. delete s_6 and s_7: 1011001 β†’ 10110. If a player can't make any move, they lose. Both players play optimally. You have to determine if Alice can win. Input First line contains one integer t (1 ≀ t ≀ 1000) β€” the number of test cases. Only line of each test case contains one string s (1 ≀ |s| ≀ 100), consisting of only characters 0 and 1. Output For each test case print answer in the single line. If Alice can win print DA (YES in Russian) in any register. Otherwise print NET (NO in Russian) in any register. Example Input 3 01 1111 0011 Output DA NET NET Note In the first test case after Alice's move string s become empty and Bob can not make any move. In the second test case Alice can not make any move initially. In the third test case after Alice's move string s turn into 01. Then, after Bob's move string s become empty and Alice can not make any move. Submitted Solution: ``` for i in range(int(input())): s=input() p=0 while(len(s)!=0): z=s if "10" in s: a=s.find('10') s=s[:a]+s[a+2:] p+=1 elif "01" in s: a=s.find('01') s=s[:a]+s[a+2:] p+=1 if z==s: break if p%2==0: print("NET") else: print("DA") ```
instruction
0
27,593
19
55,186
Yes
output
1
27,593
19
55,187
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alica and Bob are playing a game. Initially they have a binary string s consisting of only characters 0 and 1. Alice and Bob make alternating moves: Alice makes the first move, Bob makes the second move, Alice makes the third one, and so on. During each move, the current player must choose two different adjacent characters of string s and delete them. For example, if s = 1011001 then the following moves are possible: 1. delete s_1 and s_2: 1011001 β†’ 11001; 2. delete s_2 and s_3: 1011001 β†’ 11001; 3. delete s_4 and s_5: 1011001 β†’ 10101; 4. delete s_6 and s_7: 1011001 β†’ 10110. If a player can't make any move, they lose. Both players play optimally. You have to determine if Alice can win. Input First line contains one integer t (1 ≀ t ≀ 1000) β€” the number of test cases. Only line of each test case contains one string s (1 ≀ |s| ≀ 100), consisting of only characters 0 and 1. Output For each test case print answer in the single line. If Alice can win print DA (YES in Russian) in any register. Otherwise print NET (NO in Russian) in any register. Example Input 3 01 1111 0011 Output DA NET NET Note In the first test case after Alice's move string s become empty and Bob can not make any move. In the second test case Alice can not make any move initially. In the third test case after Alice's move string s turn into 01. Then, after Bob's move string s become empty and Alice can not make any move. Submitted Solution: ``` for i in range(int(input())): a = input() zero = a.count('0') one = a.count('1') if min(zero , one) % 2 == 1: print('DA') else: print('NET') ```
instruction
0
27,594
19
55,188
Yes
output
1
27,594
19
55,189
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alica and Bob are playing a game. Initially they have a binary string s consisting of only characters 0 and 1. Alice and Bob make alternating moves: Alice makes the first move, Bob makes the second move, Alice makes the third one, and so on. During each move, the current player must choose two different adjacent characters of string s and delete them. For example, if s = 1011001 then the following moves are possible: 1. delete s_1 and s_2: 1011001 β†’ 11001; 2. delete s_2 and s_3: 1011001 β†’ 11001; 3. delete s_4 and s_5: 1011001 β†’ 10101; 4. delete s_6 and s_7: 1011001 β†’ 10110. If a player can't make any move, they lose. Both players play optimally. You have to determine if Alice can win. Input First line contains one integer t (1 ≀ t ≀ 1000) β€” the number of test cases. Only line of each test case contains one string s (1 ≀ |s| ≀ 100), consisting of only characters 0 and 1. Output For each test case print answer in the single line. If Alice can win print DA (YES in Russian) in any register. Otherwise print NET (NO in Russian) in any register. Example Input 3 01 1111 0011 Output DA NET NET Note In the first test case after Alice's move string s become empty and Bob can not make any move. In the second test case Alice can not make any move initially. In the third test case after Alice's move string s turn into 01. Then, after Bob's move string s become empty and Alice can not make any move. Submitted Solution: ``` t = int(input()) for _ in range(t): s = list(input()) Q = [] Q.append(s[0]) top, count = 0, 0 for i in range(1, len(s)): if (not Q or s[i] == Q[top]): Q.append(s[i]) top += 1 else: count += 1 Q.pop() top -=1 if (count % 2 == 0): print("NET") else: print("DA") ```
instruction
0
27,595
19
55,190
Yes
output
1
27,595
19
55,191
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alica and Bob are playing a game. Initially they have a binary string s consisting of only characters 0 and 1. Alice and Bob make alternating moves: Alice makes the first move, Bob makes the second move, Alice makes the third one, and so on. During each move, the current player must choose two different adjacent characters of string s and delete them. For example, if s = 1011001 then the following moves are possible: 1. delete s_1 and s_2: 1011001 β†’ 11001; 2. delete s_2 and s_3: 1011001 β†’ 11001; 3. delete s_4 and s_5: 1011001 β†’ 10101; 4. delete s_6 and s_7: 1011001 β†’ 10110. If a player can't make any move, they lose. Both players play optimally. You have to determine if Alice can win. Input First line contains one integer t (1 ≀ t ≀ 1000) β€” the number of test cases. Only line of each test case contains one string s (1 ≀ |s| ≀ 100), consisting of only characters 0 and 1. Output For each test case print answer in the single line. If Alice can win print DA (YES in Russian) in any register. Otherwise print NET (NO in Russian) in any register. Example Input 3 01 1111 0011 Output DA NET NET Note In the first test case after Alice's move string s become empty and Bob can not make any move. In the second test case Alice can not make any move initially. In the third test case after Alice's move string s turn into 01. Then, after Bob's move string s become empty and Alice can not make any move. Submitted Solution: ``` def read_int(): return int(input()) def read_string_array(): return input().split() def read_int_array(): return [int(_) for _ in read_string_array()] def read_line(): return input() from itertools import groupby def solve(s): l = [(list(__))for _, __ in groupby(sorted(s))] # for i in range(len(l)): if len(l) <= 1: return 'NET' return 'DA' if min(len(l[1]), len(l[0])) % 2 == 1 else 'NET' if __name__ == '__main__': T = read_int() for _ in range(T): # read inputs # read_int() # read_int_array() # read_string_array() S = read_line() # solve print(solve(S)) ```
instruction
0
27,596
19
55,192
Yes
output
1
27,596
19
55,193
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alica and Bob are playing a game. Initially they have a binary string s consisting of only characters 0 and 1. Alice and Bob make alternating moves: Alice makes the first move, Bob makes the second move, Alice makes the third one, and so on. During each move, the current player must choose two different adjacent characters of string s and delete them. For example, if s = 1011001 then the following moves are possible: 1. delete s_1 and s_2: 1011001 β†’ 11001; 2. delete s_2 and s_3: 1011001 β†’ 11001; 3. delete s_4 and s_5: 1011001 β†’ 10101; 4. delete s_6 and s_7: 1011001 β†’ 10110. If a player can't make any move, they lose. Both players play optimally. You have to determine if Alice can win. Input First line contains one integer t (1 ≀ t ≀ 1000) β€” the number of test cases. Only line of each test case contains one string s (1 ≀ |s| ≀ 100), consisting of only characters 0 and 1. Output For each test case print answer in the single line. If Alice can win print DA (YES in Russian) in any register. Otherwise print NET (NO in Russian) in any register. Example Input 3 01 1111 0011 Output DA NET NET Note In the first test case after Alice's move string s become empty and Bob can not make any move. In the second test case Alice can not make any move initially. In the third test case after Alice's move string s turn into 01. Then, after Bob's move string s become empty and Alice can not make any move. Submitted Solution: ``` for _ in range(int(input())): s=list(input()) cnt=0 while(True): flag=0 for i in range(len(s)-1): if s[i]=='0' and s[i+1]=='1': s.pop(i) s.pop(i) cnt+=1 flag=1 break if flag==0: break if cnt%2==0: print("NET") else: print("DA") ```
instruction
0
27,597
19
55,194
No
output
1
27,597
19
55,195
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alica and Bob are playing a game. Initially they have a binary string s consisting of only characters 0 and 1. Alice and Bob make alternating moves: Alice makes the first move, Bob makes the second move, Alice makes the third one, and so on. During each move, the current player must choose two different adjacent characters of string s and delete them. For example, if s = 1011001 then the following moves are possible: 1. delete s_1 and s_2: 1011001 β†’ 11001; 2. delete s_2 and s_3: 1011001 β†’ 11001; 3. delete s_4 and s_5: 1011001 β†’ 10101; 4. delete s_6 and s_7: 1011001 β†’ 10110. If a player can't make any move, they lose. Both players play optimally. You have to determine if Alice can win. Input First line contains one integer t (1 ≀ t ≀ 1000) β€” the number of test cases. Only line of each test case contains one string s (1 ≀ |s| ≀ 100), consisting of only characters 0 and 1. Output For each test case print answer in the single line. If Alice can win print DA (YES in Russian) in any register. Otherwise print NET (NO in Russian) in any register. Example Input 3 01 1111 0011 Output DA NET NET Note In the first test case after Alice's move string s become empty and Bob can not make any move. In the second test case Alice can not make any move initially. In the third test case after Alice's move string s turn into 01. Then, after Bob's move string s become empty and Alice can not make any move. Submitted Solution: ``` for _ in range(int(input())): s=len(input()) k=s//2 if (s%2==0 and s%4!=0) or (k%2!=0 and s%4!=0): print("DA") else: print("NET") ```
instruction
0
27,599
19
55,198
No
output
1
27,599
19
55,199
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alica and Bob are playing a game. Initially they have a binary string s consisting of only characters 0 and 1. Alice and Bob make alternating moves: Alice makes the first move, Bob makes the second move, Alice makes the third one, and so on. During each move, the current player must choose two different adjacent characters of string s and delete them. For example, if s = 1011001 then the following moves are possible: 1. delete s_1 and s_2: 1011001 β†’ 11001; 2. delete s_2 and s_3: 1011001 β†’ 11001; 3. delete s_4 and s_5: 1011001 β†’ 10101; 4. delete s_6 and s_7: 1011001 β†’ 10110. If a player can't make any move, they lose. Both players play optimally. You have to determine if Alice can win. Input First line contains one integer t (1 ≀ t ≀ 1000) β€” the number of test cases. Only line of each test case contains one string s (1 ≀ |s| ≀ 100), consisting of only characters 0 and 1. Output For each test case print answer in the single line. If Alice can win print DA (YES in Russian) in any register. Otherwise print NET (NO in Russian) in any register. Example Input 3 01 1111 0011 Output DA NET NET Note In the first test case after Alice's move string s become empty and Bob can not make any move. In the second test case Alice can not make any move initially. In the third test case after Alice's move string s turn into 01. Then, after Bob's move string s become empty and Alice can not make any move. Submitted Solution: ``` for i in range(int(input())): s=input() n=len(s) if n - n//4 <= 1: print ("NET") else: print("DA") ```
instruction
0
27,600
19
55,200
No
output
1
27,600
19
55,201
Provide tags and a correct Python 3 solution for this coding contest problem. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx
instruction
0
27,800
19
55,600
Tags: constructive algorithms, implementation Correct Solution: ``` def main(): a, b = map(int, input().split(' ')) answer = -b ** 2 a_cluster = a if a: for i in range(a): answer_candicate = (a - i) ** 2 + i quotient = b // (i + 2) remainder = b % (i + 2) answer_candicate -= ((i + 2) - remainder) * quotient ** 2 \ + remainder * (quotient + 1) ** 2 if answer_candicate > answer: answer = answer_candicate a_cluster = a - i print(answer) if a: quotient = b // (a - a_cluster + 2) remainder = b % (a - a_cluster + 2) print('x' * quotient, end='') print('o' * a_cluster, end='') print('x' * (quotient + (1 if remainder else 0)), end='') remainder = max(remainder - 1, 0) for i in range(a - a_cluster): print('o', end='') print('x' * (quotient + (1 if remainder else 0)), end='') remainder = max(remainder - 1, 0) print() else: print('x' * b) if __name__ == '__main__': main() ```
output
1
27,800
19
55,601
Provide tags and a correct Python 3 solution for this coding contest problem. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx
instruction
0
27,801
19
55,602
Tags: constructive algorithms, implementation Correct Solution: ``` a,b=map(int,input().split()) def sqr(x): return x*x def work( num, flag=0 ): ans=sqr(a-num+1)+num-1 could = min(b, num+1) cc=b//could res=b%could ans-=res * sqr(cc+1) + (could-res)*sqr(cc) if flag: print(ans) list='' res2=could-res if could==num+1: list+='x'*cc res2-=1 ta=a list+='o'*(a-num+1) ta-=a-num+1 while ta>0: u=cc+int(res>0) if res>0: res-=1 else: res2-=1 list+='x'*u list+='o' ta-=1 if res>0 or res2>0: list+='x'*(cc+int(res>0)) print(str(list)) return ans if a==0: print(-sqr(b)) print('x'*b) elif b==0: print(sqr(a)) print('o'*a) else: now=1 for i in range(1,a+1): if i-1<=b and work(i)>work(now): now=i work(now,1) ```
output
1
27,801
19
55,603
Provide tags and a correct Python 3 solution for this coding contest problem. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx
instruction
0
27,802
19
55,604
Tags: constructive algorithms, implementation Correct Solution: ``` import math import sys inp = input().split() a = int(inp[0]) b = int(inp[1]) if a == 0: print(str(-b**2)) out = "x" * b print(out) elif b == 0: print(str(a**2)) out = "o" * a print(out) else: ind = -1 buk = -1 quo = -1 rem = -1 sco = -sys.maxsize - 1 for i in range(a): buk_i = i + 2 quo_i = int(b / buk_i) rem_i = b % buk_i sco_i = (a - i)**2 + i - rem_i * (quo_i + 1)**2 - (buk_i - rem_i) * quo_i**2 if sco_i > sco: buk = buk_i quo = quo_i rem = rem_i sco = sco_i ind = i print(sco) out = "x" * quo + "o" * (a - ind - 1) for i in range(rem): out += "o" + "x" * (quo + 1) for i in range(buk - rem - 1): out += "o" + "x" * quo print(out) ```
output
1
27,802
19
55,605
Provide tags and a correct Python 3 solution for this coding contest problem. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx
instruction
0
27,803
19
55,606
Tags: constructive algorithms, implementation Correct Solution: ``` # Made By Mostafa_Khaled bot = True a,b=map(int,input().split()) def sqr(x): return x*x def work( num, flag=0 ): ans=sqr(a-num+1)+num-1 could = min(b, num+1) cc=b//could res=b%could ans-=res * sqr(cc+1) + (could-res)*sqr(cc) if flag: print(ans) list='' res2=could-res if could==num+1: list+='x'*cc res2-=1 ta=a list+='o'*(a-num+1) ta-=a-num+1 while ta>0: u=cc+int(res>0) if res>0: res-=1 else: res2-=1 list+='x'*u list+='o' ta-=1 if res>0 or res2>0: list+='x'*(cc+int(res>0)) print(str(list)) return ans if a==0: print(-sqr(b)) print('x'*b) elif b==0: print(sqr(a)) print('o'*a) else: now=1 for i in range(1,a+1): if i-1<=b and work(i)>work(now): now=i work(now,1) # Made By Mostafa_Khaled ```
output
1
27,803
19
55,607
Provide tags and a correct Python 3 solution for this coding contest problem. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx
instruction
0
27,804
19
55,608
Tags: constructive algorithms, implementation Correct Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect from itertools import chain, dropwhile, permutations, combinations from collections import defaultdict def main2(a,b): if a==0: print(-b**2) print("x"*b) return if b==0: print(a**2) print("o"*a) return if 2*a>=b: ans = a**2 - (b//2)**2 - (b-b//2)**2 print(ans) print("x"*(b//2),end="") print("o"*a,end="") print("x"*(b-b//2)) else: x = b//(a+1) m = b % x bb = [x+1]*m + [x]*(a+1-m) ans = -m*(x+1)**2 - (a+1-m)*x**2 + a print(ans) bbb = ["x"*j for j in bb] print("o".join(bbb)) def main(a,b): if a==0: print(-b**2) print("x"*b) return if b<=1: print(a**2-b**2) print("o"*a + "x"*b) return ans = None for p in range(1,a+1): q = p+1 curr = (a-p+1)**2 + (p-1) - ((b//q+1)**2*(b%q)+(b//q)**2*(q-(b%q))) #print(p,q,curr) if ans is None or curr > ans: ans = curr best_p = p print(ans) p = best_p q = p+1 x = b//q m = b-x*q bb = [x+1]*m + [x]*(q-m) bbb = ["x"*j for j in bb] aaa = ["o"*j for j in ([a-p+1]+[1]*(p-1))] #print("o".join(bbb)) #print(p,q,aaa,bbb,x,m,bb) print(bbb[0],end="") for i in range(p): print(aaa[i],end="") print(bbb[i+1],end="") print() def main_input(info=0): a,b = map(int,input().split()) #t = [(int(x)-1,i+1) for i,x in enumerate(input().split())] #l,r = list(range(n)), list(range(n)) #for i in range(n): # l[i],r[i] = map(int,input().split()) # t = [map(int,input().split()) for x in range(n)] main(a,b) if __name__ == "__main__": main_input() ```
output
1
27,804
19
55,609
Provide tags and a correct Python 3 solution for this coding contest problem. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx
instruction
0
27,805
19
55,610
Tags: constructive algorithms, implementation Correct Solution: ``` a,b=map(int,input().split()) def sqr(x): return x*x def work( num, flag=0 ): ans=sqr(a-num+1)+num-1 could = min(b, num+1) cc=b//could res=b%could ans-=res * sqr(cc+1) + (could-res)*sqr(cc) if flag: print(ans) list='' res2=could-res if could==num+1: list+='x'*cc res2-=1 ta=a list+='o'*(a-num+1) ta-=a-num+1 while ta>0: u=cc+int(res>0) if res>0: res-=1 else: res2-=1 list+='x'*u list+='o' ta-=1 if res>0 or res2>0: list+='x'*(cc+int(res>0)) print(str(list)) return ans if a==0: print(-sqr(b)) print('x'*b) elif b==0: print(sqr(a)) print('o'*a) else: now=1 for i in range(1,a+1): if i-1<=b and work(i)>work(now): now=i work(now,1) # Made By Mostafa_Khaled ```
output
1
27,805
19
55,611
Provide tags and a correct Python 3 solution for this coding contest problem. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx
instruction
0
27,806
19
55,612
Tags: constructive algorithms, implementation Correct Solution: ``` a,b=[int(i) for i in input().split()] if(a==0): print(-b**2) print('x'*b) elif(b==0): print(a**2) print('o'*a) elif(b==1): print(a**2-1) print('x'+'o'*a) else: ans=-float('inf') gr_no=None for i in range(2,min(a+2,b+1)): v1=(a+2-i)**2 + i-2 quo=b//i rem=b%i v2=rem*((quo+1)**2) + (i-rem)*((quo**2)) if(v1-v2>ans): gr_no=i ans=v1-v2 quo=b//gr_no rem=b%gr_no if(rem>0): s='x'*(quo+1)+'o'*(a+2-gr_no) rem-=1 else: s='x'*(quo)+'o'*(a+2-gr_no) gr_no-=1 s1='x'*(quo+1)+'o' s2='x'*quo + 'o' for i in range(rem): s+=s1 for i in range(gr_no-rem-1): s+=s2 s+='x'*(quo) print(ans) print(s) ```
output
1
27,806
19
55,613
Provide tags and a correct Python 3 solution for this coding contest problem. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx
instruction
0
27,807
19
55,614
Tags: constructive algorithms, implementation Correct Solution: ``` a, b = map(int, input().split()) if b < 2: print(a * a - b) print('o' * a + 'x' * b) elif a == 0: print(- b * b) print('x' * b) else: s = a * a - b * b for i in range(2, min(a + 1, b) + 1): u, v = b // i, b % i d = i - 2 + (a - i + 2) ** 2 - (u ** 2) * (i - v) - ((u + 1) ** 2) * v if d > s: s, q, p, j = d, u, v, i k = 2 * j - 1 t = [0] * k t[1: k: 2] = ['o'] * (j - 2) + ['o' * (a - j + 2)] t[0: k: 2] = ['x' * q] * (j - p) + ['x' * (q + 1)] * p print(s) print(''.join(t)) ```
output
1
27,807
19
55,615
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx Submitted Solution: ``` x, y = map(int, input().split(' ')) def f(b, g): x = b // g y = x + 1 nx = y * g - b ny = g - nx return [nx*x**2+ny*y**2, x, nx, y, ny] if (x == 0): print(-y**2) print('x'*y) quit() if (y == 0): print(x**2) print('o'*x) quit() maxx = -10**15 for go in range(1, x+1): for gx in [go-1, go, go+1]: if (not (1 <= gx <= y)): continue maxx = max(maxx, -f(y, gx)[0]+(x-go+1)**2+(go-1)) for go in range(1, x+1): for gx in [go-1, go, go+1]: if (not (1 <= gx <= y)): continue if -f(y, gx)[0] + (x-go+1)**2+(go-1) == maxx: go2 = ['o'] * (go-1) + ['o'*(x-go+1)] k = f(y, gx) gp = ['x'*k[1]]*k[2] + ['x'*k[3]] * k[4] print(maxx) if (gx == go): for i in range(gx): print(go2[i], end = '') print(gp[i], end = '') quit() if gx == go-1: print(go2[0], end = '') for i in range(gx): print(gp[i], end = '') print(go2[i+1], end = '') quit() if gx == go+1: print(gp[0], end = '') for i in range(go): print(go2[i], end = '') print(gp[i+1], end = '') quit() ```
instruction
0
27,808
19
55,616
Yes
output
1
27,808
19
55,617
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx Submitted Solution: ``` a, b = map(int, input().split()) sx = lambda p: (a - p + 1) ** 2 + p - 1 sy = lambda q: (b % q) * (1 + b // q) ** 2 + (b // q) ** 2 * (q - b % q) n = min(a, b) if a == 0: print( -b ** 2) print( b * "x" ) elif b <= 1: print( a ** 2 - b ** 2 ) print ( a * "o" + b * "x" ) else: res = - (a + b) ** 2 for p in range(1, n + 1): for q in range(p-1, p+2): if(1 <= q <= b): pos = sx( p ) neg = sy( q ) if res < pos - neg: res = pos - neg res_p = p res_q = q print( res ) s = "" if res_p >= res_q: for i in range(res_p): wl = 1 if i > 0 else a - (res_p-1) s += wl * "x" ll = b // res_q + 1 if i < b % res_q else b // res_q if i < res_q: s += ll * "o" else: for i in range(res_q): ll = b // res_q + 1 if i < b % res_q else b // res_q; s += ll * "x" wl = 1 if i > 0 else a - (res_p-1) if i < res_p: s+= wl * "o" print( s ) ```
instruction
0
27,809
19
55,618
Yes
output
1
27,809
19
55,619
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx Submitted Solution: ``` a,b = map(int,input().split()) i = 1 s = '' cnt = 0 while i <= a + 1: if i < a+1: if i <= b%(a+1): s += 'x'*(b//(a+1)+1) + 'o' cnt -= -1 + (b//(a+1)+1)**2 elif i > b%(a+1): if b//(a+1) == 0: cnt += (a-i+1)**2 s += 'o'*(a-i+1) break else: cnt -= -1 + (b//(a+1))**2 s += 'x'*(b//(a+1)) + 'o' elif i == a+1: s += 'x'*(b//(a+1)) cnt -= (b//(a+1))**2 i += 1 print(cnt) print(s) ```
instruction
0
27,810
19
55,620
No
output
1
27,810
19
55,621
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx Submitted Solution: ``` import math c = input().split(' ') a = int(c[0]) b = int(c[1]) ans = 0 if a-b > 0: if b == 0: ans = a**2 else: ans = (a-b+1)**2 - 1 elif a-b < 0: if a == 0: ans = -(b**2) else: ans = -((a-b)**2) else: ans = 0 print(ans) ```
instruction
0
27,811
19
55,622
No
output
1
27,811
19
55,623
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx Submitted Solution: ``` cards=input().split(' ') if int(cards[0])==0: print(pow(int(cards[1]),2)*-1) print('x'*int(cards[1])) elif int(cards[1])==0: print(pow(int(cards[0]),2)) print('o'*int(cards[0])) else: if int(cards[0])<int(cards[1]): xgroups=int(cards[0])+1 xgroupssize=int(cards[1])//xgroups bigxgroups=(int(cards[1])-xgroupssize)%int(cards[0]) smallxgroups=xgroups-bigxgroups print(bigxgroups*-pow(xgroupssize+1,2)+smallxgroups*-pow(xgroupssize,2)+int(cards[0])) print(('x'*(xgroupssize+1)+'o')*bigxgroups+('x'*(xgroupssize)+'o')*(smallxgroups-1)+'x'*(xgroupssize)) else: print(pow((int(cards[1])//2)+(int(cards[1])%2),2)*-1+pow(int(cards[0]),2)+pow((int(cards[1])//2),2)*-1) print('x'*(int(cards[1])//2)+'x'*(int(cards[1])%2)+'o'*int(cards[0])+'x'*(int(cards[1])//2)) ```
instruction
0
27,812
19
55,624
No
output
1
27,812
19
55,625
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. User ainta loves to play with cards. He has a cards containing letter "o" and b cards containing letter "x". He arranges the cards in a row, and calculates the score of the deck by the formula below. 1. At first, the score is 0. 2. For each block of contiguous "o"s with length x the score increases by x2. 3. For each block of contiguous "x"s with length y the score decreases by y2. For example, if a = 6, b = 3 and ainta have arranged the cards in the order, that is described by string "ooxoooxxo", the score of the deck equals 22 - 12 + 32 - 22 + 12 = 9. That is because the deck has 5 blocks in total: "oo", "x", "ooo", "xx", "o". User ainta likes big numbers, so he wants to maximize the score with the given cards. Help ainta make the score as big as possible. Note, that he has to arrange all his cards. Input The first line contains two space-separated integers a and b (0 ≀ a, b ≀ 105; a + b β‰₯ 1) β€” the number of "o" cards and the number of "x" cards. Output In the first line print a single integer v β€” the maximum score that ainta can obtain. In the second line print a + b characters describing the deck. If the k-th card of the deck contains "o", the k-th character must be "o". If the k-th card of the deck contains "x", the k-th character must be "x". The number of "o" characters must be equal to a, and the number of "x " characters must be equal to b. If there are many ways to maximize v, print any. Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 2 3 Output -1 xoxox Input 4 0 Output 16 oooo Input 0 4 Output -16 xxxx Submitted Solution: ``` cards=input().split(' ') def punctuationofxbygroups(amount,groups): xgroupssize=amount//groups bigxgroups=amount%groups return pow(xgroupssize,2)*(groups-bigxgroups)+pow(xgroupssize+1,2)*bigxgroups if int(cards[0])==0: print(pow(int(cards[1]),2)*-1) print('x'*int(cards[1])) elif int(cards[1])==0: print(pow(int(cards[0]),2)) print('o'*int(cards[0])) else: if False: print('LOL') else: xgroups=2 while(xgroups<int(cards[0])+1 and punctuationofxbygroups(int(cards[1]),xgroups)-punctuationofxbygroups(int(cards[1]),xgroups+1)>pow(int(cards[0])-xgroups+2,2)-pow(int(cards[0])-xgroups+1,2)): xgroups+=1 xgroupssize=int(cards[1])//xgroups bigxgroups=int(cards[1])%xgroups smallxgroups=xgroups-bigxgroups print(pow(int(cards[0])-xgroups+2,2)-punctuationofxbygroups(int(cards[1]),xgroups)+xgroups-2) print(('x'*(xgroupssize+1)+'o')*bigxgroups+('x'*(xgroupssize)+'o')*(smallxgroups-1)+'o'*(int(cards[0])-xgroups+1)+'x'*(xgroupssize)) ```
instruction
0
27,813
19
55,626
No
output
1
27,813
19
55,627
Provide tags and a correct Python 3 solution for this coding contest problem. In one of the games Arkady is fond of the game process happens on a rectangular field. In the game process Arkady can buy extensions for his field, each extension enlarges one of the field sizes in a particular number of times. Formally, there are n extensions, the i-th of them multiplies the width or the length (by Arkady's choice) by ai. Each extension can't be used more than once, the extensions can be used in any order. Now Arkady's field has size h Γ— w. He wants to enlarge it so that it is possible to place a rectangle of size a Γ— b on it (along the width or along the length, with sides parallel to the field sides). Find the minimum number of extensions needed to reach Arkady's goal. Input The first line contains five integers a, b, h, w and n (1 ≀ a, b, h, w, n ≀ 100 000) β€” the sizes of the rectangle needed to be placed, the initial sizes of the field and the number of available extensions. The second line contains n integers a1, a2, ..., an (2 ≀ ai ≀ 100 000), where ai equals the integer a side multiplies by when the i-th extension is applied. Output Print the minimum number of extensions needed to reach Arkady's goal. If it is not possible to place the rectangle on the field with all extensions, print -1. If the rectangle can be placed on the initial field, print 0. Examples Input 3 3 2 4 4 2 5 4 10 Output 1 Input 3 3 3 3 5 2 3 5 4 2 Output 0 Input 5 5 1 2 3 2 2 3 Output -1 Input 3 4 1 1 3 2 3 2 Output 3 Note In the first example it is enough to use any of the extensions available. For example, we can enlarge h in 5 times using the second extension. Then h becomes equal 10 and it is now possible to place the rectangle on the field.
instruction
0
27,949
19
55,898
Tags: brute force, dp, meet-in-the-middle Correct Solution: ``` f = lambda: map(int, input().split()) a, b, h, w, n = f() c = sorted(list(f()), key=lambda x: -x) d = {(h, w), (w, h)} for i, q in enumerate([1] + c): for u, v in d.copy(): h, w = u, v * q if a <= w and b <= h or a <= h and b <= w: print(i) exit() d.add((h, w)) d.add((w, h)) print(-1) ```
output
1
27,949
19
55,899