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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You will be given a contest schedule for D days and M queries of schedule modification. In the i-th query, given integers d_i and q_i, change the type of contest to be held on day d_i to q_i, and then output the final satisfaction at the end of day D on the updated schedule. Note that we do not revert each query. That is, the i-th query is applied to the new schedule obtained by the (i-1)-th query. Input Input is given from Standard Input in the form of the input of Problem A followed by the output of Problem A and the queries. D c_1 c_2 \cdots c_{26} s_{1,1} s_{1,2} \cdots s_{1,26} \vdots s_{D,1} s_{D,2} \cdots s_{D,26} t_1 t_2 \vdots t_D M d_1 q_1 d_2 q_2 \vdots d_M q_M * The constraints and generation methods for the input part are the same as those for Problem A. * For each d=1,\ldots,D, t_d is an integer generated independently and uniformly at random from {1,2,\ldots,26}. * The number of queries M is an integer satisfying 1\leq M\leq 10^5. * For each i=1,\ldots,M, d_i is an integer generated independently and uniformly at random from {1,2,\ldots,D}. * For each i=1,\ldots,26, q_i is an integer satisfying 1\leq q_i\leq 26 generated uniformly at random from the 25 values that differ from the type of contest on day d_i. Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Example Input 5 86 90 69 51 2 96 71 47 88 34 45 46 89 34 31 38 97 84 41 80 14 4 50 83 7 82 19771 12979 18912 10432 10544 12928 13403 3047 10527 9740 8100 92 2856 14730 1396 15905 6534 4650 11469 3628 8433 2994 10899 16396 18355 11424 6674 17707 13855 16407 12232 2886 11908 1705 5000 1537 10440 10711 4917 10770 17272 15364 19277 18094 3929 3705 7169 6159 18683 15410 9092 4570 6878 4239 19925 1799 375 9563 3445 5658 19857 11401 6997 6498 19933 3848 2426 2146 19745 16880 17773 18359 3921 14172 16730 11157 5439 256 8633 15862 15303 10749 18499 7792 10317 5901 9395 11433 3514 3959 5202 19850 19469 9790 5653 784 18500 10552 17975 16615 7852 197 8471 7452 19855 17918 7990 10572 4333 438 9140 9104 12622 4985 12319 4028 19922 12132 16259 17476 2976 547 19195 19830 16285 4806 4471 9457 2864 2192 1 17 13 14 13 5 1 7 4 11 3 4 5 24 4 19 Output 72882 56634 38425 27930 42884 Submitted Solution: ``` def calcScore(): for d in range(1, D + 1): id = t[d] # この日に開催するコンテスト sinceLast[d][id] = 0 score[d][id] = s[d][id] for i in range(1, 26 + 1): if i == id: continue sinceLast[d][i] = sinceLast[d - 1][i] + 1 score[d][i] = -c[i] * sinceLast[d][i] ans = 0 for d in range(1, D + 1): ans += sum(score[d]) return ans def calcScoreDiff(score, d, before, after): ans = 0 for dd in range(d, D + 1): if dd > d and t[dd] == before: break sinceLast[dd][before] = sinceLast[dd - 1][before] + 1 ans -= score[dd][before] score[dd][before] = -c[before] * sinceLast[dd][before] ans += score[dd][before] ans -= score[d][after] sinceLast[d][after] = 0 score[d][after] = s[d][after] ans += score[d][after] for dd in range(d + 1, D + 1): if t[dd] == after: break sinceLast[dd][after] = sinceLast[dd - 1][after] + 1 ans -= score[dd][after] score[dd][after] = -c[after] * sinceLast[dd][after] ans += score[dd][after] return ans D = int(input()) c = [0] + [int(x) for x in input().split()] s = [[0 for _ in range(26 + 1)]] + \ [[0] + [int(x) for x in input().split()] for _ in range(D)] t = [0] + [int(input()) for _ in range(D)] score = [[0] * (26 + 1) for _ in range(D + 1)] sinceLast = [[0] * (26 + 1) for _ in range(D + 1)] tot = calcScore() M = int(input()) for i in range(M): d, after = [int(x) for x in input().split()] before = t[d] t[d] = after diff = calcScoreDiff(score, d, before, after) tot += diff print(tot) ```
instruction
0
26,245
11
52,490
Yes
output
1
26,245
11
52,491
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You will be given a contest schedule for D days and M queries of schedule modification. In the i-th query, given integers d_i and q_i, change the type of contest to be held on day d_i to q_i, and then output the final satisfaction at the end of day D on the updated schedule. Note that we do not revert each query. That is, the i-th query is applied to the new schedule obtained by the (i-1)-th query. Input Input is given from Standard Input in the form of the input of Problem A followed by the output of Problem A and the queries. D c_1 c_2 \cdots c_{26} s_{1,1} s_{1,2} \cdots s_{1,26} \vdots s_{D,1} s_{D,2} \cdots s_{D,26} t_1 t_2 \vdots t_D M d_1 q_1 d_2 q_2 \vdots d_M q_M * The constraints and generation methods for the input part are the same as those for Problem A. * For each d=1,\ldots,D, t_d is an integer generated independently and uniformly at random from {1,2,\ldots,26}. * The number of queries M is an integer satisfying 1\leq M\leq 10^5. * For each i=1,\ldots,M, d_i is an integer generated independently and uniformly at random from {1,2,\ldots,D}. * For each i=1,\ldots,26, q_i is an integer satisfying 1\leq q_i\leq 26 generated uniformly at random from the 25 values that differ from the type of contest on day d_i. Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Example Input 5 86 90 69 51 2 96 71 47 88 34 45 46 89 34 31 38 97 84 41 80 14 4 50 83 7 82 19771 12979 18912 10432 10544 12928 13403 3047 10527 9740 8100 92 2856 14730 1396 15905 6534 4650 11469 3628 8433 2994 10899 16396 18355 11424 6674 17707 13855 16407 12232 2886 11908 1705 5000 1537 10440 10711 4917 10770 17272 15364 19277 18094 3929 3705 7169 6159 18683 15410 9092 4570 6878 4239 19925 1799 375 9563 3445 5658 19857 11401 6997 6498 19933 3848 2426 2146 19745 16880 17773 18359 3921 14172 16730 11157 5439 256 8633 15862 15303 10749 18499 7792 10317 5901 9395 11433 3514 3959 5202 19850 19469 9790 5653 784 18500 10552 17975 16615 7852 197 8471 7452 19855 17918 7990 10572 4333 438 9140 9104 12622 4985 12319 4028 19922 12132 16259 17476 2976 547 19195 19830 16285 4806 4471 9457 2864 2192 1 17 13 14 13 5 1 7 4 11 3 4 5 24 4 19 Output 72882 56634 38425 27930 42884 Submitted Solution: ``` import sys def input(): return sys.stdin.readline().strip() def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)] def ceil(x, y=1): return int(-(-x // y)) def INT(): return int(input()) def MAP(): return map(int, input().split()) def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)] def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def NO(): print('NO') sys.setrecursionlimit(10 ** 9) INF = 10 ** 19 MOD = 10 ** 9 + 7 EPS = 10 ** -10 D = INT() C = LIST() S = [[]] * (D+1) for i in range(1, D+1): S[i] = LIST() T = [0] + [t-1 for t in LIST(D)] M = 26 last = list2d(M, D+2, 0) def check(T): score = 0 for i, t in enumerate(T[1:], 1): score += S[i][t] for j in range(M): last[j][i] = last[j][i-1] + 1 last[t][i] = 0 for j in range(M): score -= C[j] * last[j][i] return score def change(day, a, b): nxtday = last[a].index(0, day+1) w = nxtday - day h = last[a][day-1] + 1 a_change = C[a] * h * w for d in range(day, nxtday): last[a][d] = last[a][d-1] + 1 nxtday = last[b].index(0, day+1) w = nxtday - day h = last[b][day-1] + 1 b_change = C[b] * h * w last[b][day] = 0 for d in range(day+1, nxtday): last[b][d] = last[b][d-1] + 1 res = -a_change + b_change - S[day][a] + S[day][b] return res score = check(T) Q = INT() for i in range(Q): d, q = MAP() q -= 1 prev = T[d] nxt = q score += change(d, prev, nxt) print(score) T[d] = q ```
instruction
0
26,246
11
52,492
Yes
output
1
26,246
11
52,493
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You will be given a contest schedule for D days and M queries of schedule modification. In the i-th query, given integers d_i and q_i, change the type of contest to be held on day d_i to q_i, and then output the final satisfaction at the end of day D on the updated schedule. Note that we do not revert each query. That is, the i-th query is applied to the new schedule obtained by the (i-1)-th query. Input Input is given from Standard Input in the form of the input of Problem A followed by the output of Problem A and the queries. D c_1 c_2 \cdots c_{26} s_{1,1} s_{1,2} \cdots s_{1,26} \vdots s_{D,1} s_{D,2} \cdots s_{D,26} t_1 t_2 \vdots t_D M d_1 q_1 d_2 q_2 \vdots d_M q_M * The constraints and generation methods for the input part are the same as those for Problem A. * For each d=1,\ldots,D, t_d is an integer generated independently and uniformly at random from {1,2,\ldots,26}. * The number of queries M is an integer satisfying 1\leq M\leq 10^5. * For each i=1,\ldots,M, d_i is an integer generated independently and uniformly at random from {1,2,\ldots,D}. * For each i=1,\ldots,26, q_i is an integer satisfying 1\leq q_i\leq 26 generated uniformly at random from the 25 values that differ from the type of contest on day d_i. Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Example Input 5 86 90 69 51 2 96 71 47 88 34 45 46 89 34 31 38 97 84 41 80 14 4 50 83 7 82 19771 12979 18912 10432 10544 12928 13403 3047 10527 9740 8100 92 2856 14730 1396 15905 6534 4650 11469 3628 8433 2994 10899 16396 18355 11424 6674 17707 13855 16407 12232 2886 11908 1705 5000 1537 10440 10711 4917 10770 17272 15364 19277 18094 3929 3705 7169 6159 18683 15410 9092 4570 6878 4239 19925 1799 375 9563 3445 5658 19857 11401 6997 6498 19933 3848 2426 2146 19745 16880 17773 18359 3921 14172 16730 11157 5439 256 8633 15862 15303 10749 18499 7792 10317 5901 9395 11433 3514 3959 5202 19850 19469 9790 5653 784 18500 10552 17975 16615 7852 197 8471 7452 19855 17918 7990 10572 4333 438 9140 9104 12622 4985 12319 4028 19922 12132 16259 17476 2976 547 19195 19830 16285 4806 4471 9457 2864 2192 1 17 13 14 13 5 1 7 4 11 3 4 5 24 4 19 Output 72882 56634 38425 27930 42884 Submitted Solution: ``` D=int(input()) c=input().split() c=[int(a) for a in c] S=[] for _ in range(D): s=input().split() s=[int(a) for a in s] S.append(s) T=[] for _ in range(D): t=int(input())-1 T.append(t) M=int(input()) numbers=[] for _ in range(M): d,q=map(int,input().split()) numbers.append([d,q]) for m in range(M): ans = 0 held = [0 for _ in range(26)] e=numbers[m][0]-1 q=numbers[m][1]-1 a=T[e] T[e]=q for d in range(D): s = S[d] place = T[d] held[place] = d + 1 ans += s[place] for n in range(26): ans -= c[n] * (d + 1 - held[n]) print(ans) ```
instruction
0
26,247
11
52,494
No
output
1
26,247
11
52,495
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You will be given a contest schedule for D days and M queries of schedule modification. In the i-th query, given integers d_i and q_i, change the type of contest to be held on day d_i to q_i, and then output the final satisfaction at the end of day D on the updated schedule. Note that we do not revert each query. That is, the i-th query is applied to the new schedule obtained by the (i-1)-th query. Input Input is given from Standard Input in the form of the input of Problem A followed by the output of Problem A and the queries. D c_1 c_2 \cdots c_{26} s_{1,1} s_{1,2} \cdots s_{1,26} \vdots s_{D,1} s_{D,2} \cdots s_{D,26} t_1 t_2 \vdots t_D M d_1 q_1 d_2 q_2 \vdots d_M q_M * The constraints and generation methods for the input part are the same as those for Problem A. * For each d=1,\ldots,D, t_d is an integer generated independently and uniformly at random from {1,2,\ldots,26}. * The number of queries M is an integer satisfying 1\leq M\leq 10^5. * For each i=1,\ldots,M, d_i is an integer generated independently and uniformly at random from {1,2,\ldots,D}. * For each i=1,\ldots,26, q_i is an integer satisfying 1\leq q_i\leq 26 generated uniformly at random from the 25 values that differ from the type of contest on day d_i. Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Example Input 5 86 90 69 51 2 96 71 47 88 34 45 46 89 34 31 38 97 84 41 80 14 4 50 83 7 82 19771 12979 18912 10432 10544 12928 13403 3047 10527 9740 8100 92 2856 14730 1396 15905 6534 4650 11469 3628 8433 2994 10899 16396 18355 11424 6674 17707 13855 16407 12232 2886 11908 1705 5000 1537 10440 10711 4917 10770 17272 15364 19277 18094 3929 3705 7169 6159 18683 15410 9092 4570 6878 4239 19925 1799 375 9563 3445 5658 19857 11401 6997 6498 19933 3848 2426 2146 19745 16880 17773 18359 3921 14172 16730 11157 5439 256 8633 15862 15303 10749 18499 7792 10317 5901 9395 11433 3514 3959 5202 19850 19469 9790 5653 784 18500 10552 17975 16615 7852 197 8471 7452 19855 17918 7990 10572 4333 438 9140 9104 12622 4985 12319 4028 19922 12132 16259 17476 2976 547 19195 19830 16285 4806 4471 9457 2864 2192 1 17 13 14 13 5 1 7 4 11 3 4 5 24 4 19 Output 72882 56634 38425 27930 42884 Submitted Solution: ``` D = int(input())#D=365 c = list(map(int, input().split()))#0<=c<=100 s = [list(map(int, input().split())) for _ in range(D)]#0<=s<=20000 t = [int(input()) for _ in range(D)] M = int(input()) dq = [list(map(int, input().split())) for _ in range(M)] def culc_value(t): last = [0] * 26 value = 0 for d in range(D): type = t[d] value += s[d][type - 1] last[type - 1] = d + 1 for i in range(26): value -= c[i] * (d + 1 - last[i]) return value v_lastday = [] for d, q in dq: t[d - 1] = q v_lastday.append(culc_value(t)) for x in v_lastday: print(x) """ for i in range(D): print(v[i]) """ ```
instruction
0
26,248
11
52,496
No
output
1
26,248
11
52,497
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You will be given a contest schedule for D days and M queries of schedule modification. In the i-th query, given integers d_i and q_i, change the type of contest to be held on day d_i to q_i, and then output the final satisfaction at the end of day D on the updated schedule. Note that we do not revert each query. That is, the i-th query is applied to the new schedule obtained by the (i-1)-th query. Input Input is given from Standard Input in the form of the input of Problem A followed by the output of Problem A and the queries. D c_1 c_2 \cdots c_{26} s_{1,1} s_{1,2} \cdots s_{1,26} \vdots s_{D,1} s_{D,2} \cdots s_{D,26} t_1 t_2 \vdots t_D M d_1 q_1 d_2 q_2 \vdots d_M q_M * The constraints and generation methods for the input part are the same as those for Problem A. * For each d=1,\ldots,D, t_d is an integer generated independently and uniformly at random from {1,2,\ldots,26}. * The number of queries M is an integer satisfying 1\leq M\leq 10^5. * For each i=1,\ldots,M, d_i is an integer generated independently and uniformly at random from {1,2,\ldots,D}. * For each i=1,\ldots,26, q_i is an integer satisfying 1\leq q_i\leq 26 generated uniformly at random from the 25 values that differ from the type of contest on day d_i. Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Example Input 5 86 90 69 51 2 96 71 47 88 34 45 46 89 34 31 38 97 84 41 80 14 4 50 83 7 82 19771 12979 18912 10432 10544 12928 13403 3047 10527 9740 8100 92 2856 14730 1396 15905 6534 4650 11469 3628 8433 2994 10899 16396 18355 11424 6674 17707 13855 16407 12232 2886 11908 1705 5000 1537 10440 10711 4917 10770 17272 15364 19277 18094 3929 3705 7169 6159 18683 15410 9092 4570 6878 4239 19925 1799 375 9563 3445 5658 19857 11401 6997 6498 19933 3848 2426 2146 19745 16880 17773 18359 3921 14172 16730 11157 5439 256 8633 15862 15303 10749 18499 7792 10317 5901 9395 11433 3514 3959 5202 19850 19469 9790 5653 784 18500 10552 17975 16615 7852 197 8471 7452 19855 17918 7990 10572 4333 438 9140 9104 12622 4985 12319 4028 19922 12132 16259 17476 2976 547 19195 19830 16285 4806 4471 9457 2864 2192 1 17 13 14 13 5 1 7 4 11 3 4 5 24 4 19 Output 72882 56634 38425 27930 42884 Submitted Solution: ``` def c_incremental_scoring(): """B 問題の入力と、追加で「d 日目のコンテストのタイプを q に変更するクエリ」が 与えられるので、それに基づいて日毎の満足度を計算せよ。 (A 問題では (大雑把に言って) クエリをうまく与えて満足度を可能な限り高くしていく)""" D = int(input()) Contests = [int(i) for i in input().split()] Satisfaction = [[int(i) for i in input().split()] for j in range(D)] Contest_type = [int(input()) for _ in range(D)] M = int(input()) Queries = [[int(i) for i in input().split()] for j in range(M)] ans = [] s = 0 last = {i: 0 for i in range(1, 27)} for d, q in Queries: Contest_type[d - 1] = q for d, t in enumerate(Contest_type, 1): print(d, t) s += Satisfaction[d - 1][t - 1] last[t] = d satisfaction_decreasing = 0 for i in range(1, 27): satisfaction_decreasing += Contests[i - 1] * (d - last[i]) s -= satisfaction_decreasing ans.append(s) return '\n'.join(map(str, ans)) print(c_incremental_scoring()) ```
instruction
0
26,249
11
52,498
No
output
1
26,249
11
52,499
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You will be given a contest schedule for D days and M queries of schedule modification. In the i-th query, given integers d_i and q_i, change the type of contest to be held on day d_i to q_i, and then output the final satisfaction at the end of day D on the updated schedule. Note that we do not revert each query. That is, the i-th query is applied to the new schedule obtained by the (i-1)-th query. Input Input is given from Standard Input in the form of the input of Problem A followed by the output of Problem A and the queries. D c_1 c_2 \cdots c_{26} s_{1,1} s_{1,2} \cdots s_{1,26} \vdots s_{D,1} s_{D,2} \cdots s_{D,26} t_1 t_2 \vdots t_D M d_1 q_1 d_2 q_2 \vdots d_M q_M * The constraints and generation methods for the input part are the same as those for Problem A. * For each d=1,\ldots,D, t_d is an integer generated independently and uniformly at random from {1,2,\ldots,26}. * The number of queries M is an integer satisfying 1\leq M\leq 10^5. * For each i=1,\ldots,M, d_i is an integer generated independently and uniformly at random from {1,2,\ldots,D}. * For each i=1,\ldots,26, q_i is an integer satisfying 1\leq q_i\leq 26 generated uniformly at random from the 25 values that differ from the type of contest on day d_i. Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Output Let v_i be the final satisfaction at the end of day D on the schedule after applying the i-th query. Print M integers v_i to Standard Output in the following format: v_1 v_2 \vdots v_M Example Input 5 86 90 69 51 2 96 71 47 88 34 45 46 89 34 31 38 97 84 41 80 14 4 50 83 7 82 19771 12979 18912 10432 10544 12928 13403 3047 10527 9740 8100 92 2856 14730 1396 15905 6534 4650 11469 3628 8433 2994 10899 16396 18355 11424 6674 17707 13855 16407 12232 2886 11908 1705 5000 1537 10440 10711 4917 10770 17272 15364 19277 18094 3929 3705 7169 6159 18683 15410 9092 4570 6878 4239 19925 1799 375 9563 3445 5658 19857 11401 6997 6498 19933 3848 2426 2146 19745 16880 17773 18359 3921 14172 16730 11157 5439 256 8633 15862 15303 10749 18499 7792 10317 5901 9395 11433 3514 3959 5202 19850 19469 9790 5653 784 18500 10552 17975 16615 7852 197 8471 7452 19855 17918 7990 10572 4333 438 9140 9104 12622 4985 12319 4028 19922 12132 16259 17476 2976 547 19195 19830 16285 4806 4471 9457 2864 2192 1 17 13 14 13 5 1 7 4 11 3 4 5 24 4 19 Output 72882 56634 38425 27930 42884 Submitted Solution: ``` D = int(input()) C = list(map(int ,input().split())) S = [list(map(int, input().split())) for i in range(D)] sumc = sum(C) last = [0 for i in range(26)] check = [0 for i in range(26)] con = [] ans = 0 for i in range(D): t = int(input()) last[t-1] = i+1 ans += S[i][t-1] check[t-1] += 1 con.append(t) for j in range(26): ans -= C[j]*(i+1 - last[j]) M = int(input()) for i in range(M): d, q = map(int, input().split()) e = con[d-1] #i日目にやるコンテスト l1 = 0 l2 = 0 tmpe = 0 tmpq = 0 f1 = D f2 = D for j in range(D): if check[e-1] == 0 and check[q-1] == 0: break if tmpe == 0 and tmpq == 0: break if j < d-1: if con[j] == e: l1 = j #変更前のコンテストを直前の最後にいつやったか if con[j] == q: l2 = j #変更後のコンテストを直前の最後にいつやったか if j > d-1: if con[j] == e and tmpe == 0: f1 = j #変更前のコンテストを直後にいつやったか tmpe = 1 if con[j] == q and tmpq == 0: f2 = j #変更後のコンテストを直後にいつやったか tmpq = 1 con[d-1] = q check[e-1] -= 1 check[q-1] += 1 ans = ans - S[d-1][e-1] + S[d-1][q-1] + C[q-1]*(f2-d+1)*(d-l2-1) - C[e-1]*(f1-d+1)*(d-l1-1) print(ans) ```
instruction
0
26,250
11
52,500
No
output
1
26,250
11
52,501
Provide a correct Python 3 solution for this coding contest problem. Selection of Participants of an Experiment Dr. Tsukuba has devised a new method of programming training. In order to evaluate the effectiveness of this method, he plans to carry out a control experiment. Having two students as the participants of the experiment, one of them will be trained under the conventional method and the other under his new method. Comparing the final scores of these two, he will be able to judge the effectiveness of his method. It is important to select two students having the closest possible scores, for making the comparison fair. He has a list of the scores of all students who can participate in the experiment. You are asked to write a program which selects two of them having the smallest difference in their scores. Input The input consists of multiple datasets, each in the following format. n a1 a2 … an A dataset consists of two lines. The number of students n is given in the first line. n is an integer satisfying 2 ≤ n ≤ 1000. The second line gives scores of n students. ai (1 ≤ i ≤ n) is the score of the i-th student, which is a non-negative integer not greater than 1,000,000. The end of the input is indicated by a line containing a zero. The sum of n's of all the datasets does not exceed 50,000. Output For each dataset, select two students with the smallest difference in their scores, and output in a line (the absolute value of) the difference. Sample Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output for the Sample Input 0 1 5 Example Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output 0 1 5
instruction
0
26,452
11
52,904
"Correct Solution: ``` import sys import re from collections import deque, defaultdict, Counter from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians, log2,gcd from itertools import permutations, combinations, product from operator import itemgetter, mul from copy import deepcopy from string import ascii_lowercase, ascii_uppercase, digits def input(): return sys.stdin.readline().strip() def INT(): return int(input()) def MAP(): return map(int, input().split()) def LIST(): return list(map(int, input().split())) sys.setrecursionlimit(10 ** 9) INF = float('inf') mod = 10 ** 9 + 7 def main(): ans=[] while 1: n = INT() if n==0: break else: a=LIST() a.sort() mi=max(a) for i in range(n-1): for j in range(i+1,n): mi=min(mi,a[j]-a[i]) ans.append(mi) for x in ans: print(x) if __name__ == '__main__': main() ```
output
1
26,452
11
52,905
Provide a correct Python 3 solution for this coding contest problem. Selection of Participants of an Experiment Dr. Tsukuba has devised a new method of programming training. In order to evaluate the effectiveness of this method, he plans to carry out a control experiment. Having two students as the participants of the experiment, one of them will be trained under the conventional method and the other under his new method. Comparing the final scores of these two, he will be able to judge the effectiveness of his method. It is important to select two students having the closest possible scores, for making the comparison fair. He has a list of the scores of all students who can participate in the experiment. You are asked to write a program which selects two of them having the smallest difference in their scores. Input The input consists of multiple datasets, each in the following format. n a1 a2 … an A dataset consists of two lines. The number of students n is given in the first line. n is an integer satisfying 2 ≤ n ≤ 1000. The second line gives scores of n students. ai (1 ≤ i ≤ n) is the score of the i-th student, which is a non-negative integer not greater than 1,000,000. The end of the input is indicated by a line containing a zero. The sum of n's of all the datasets does not exceed 50,000. Output For each dataset, select two students with the smallest difference in their scores, and output in a line (the absolute value of) the difference. Sample Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output for the Sample Input 0 1 5 Example Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output 0 1 5
instruction
0
26,454
11
52,908
"Correct Solution: ``` import sys, re from collections import deque, defaultdict, Counter from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians from itertools import permutations, combinations, product from operator import itemgetter, mul from copy import deepcopy from string import ascii_lowercase, ascii_uppercase, digits def input(): return sys.stdin.readline().strip() def INT(): return int(input()) def MAP(): return map(int, input().split()) def LIST(): return list(map(int, input().split())) sys.setrecursionlimit(10 ** 9) INF = float('inf') MOD = 10 ** 9 + 7 flag = True ans_list = [] N = 1 while(flag == True): N = INT() if N == 0: flag = False else: A = LIST() A.sort() ans = abs(A[0] - A[1]) for i in range(N - 1): ans = min(ans, abs(A[i] - A[i + 1])) ans_list.append(ans) # ans = abs(A[0] - A[1]) for ans in ans_list: print(ans) ```
output
1
26,454
11
52,909
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Selection of Participants of an Experiment Dr. Tsukuba has devised a new method of programming training. In order to evaluate the effectiveness of this method, he plans to carry out a control experiment. Having two students as the participants of the experiment, one of them will be trained under the conventional method and the other under his new method. Comparing the final scores of these two, he will be able to judge the effectiveness of his method. It is important to select two students having the closest possible scores, for making the comparison fair. He has a list of the scores of all students who can participate in the experiment. You are asked to write a program which selects two of them having the smallest difference in their scores. Input The input consists of multiple datasets, each in the following format. n a1 a2 … an A dataset consists of two lines. The number of students n is given in the first line. n is an integer satisfying 2 ≤ n ≤ 1000. The second line gives scores of n students. ai (1 ≤ i ≤ n) is the score of the i-th student, which is a non-negative integer not greater than 1,000,000. The end of the input is indicated by a line containing a zero. The sum of n's of all the datasets does not exceed 50,000. Output For each dataset, select two students with the smallest difference in their scores, and output in a line (the absolute value of) the difference. Sample Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output for the Sample Input 0 1 5 Example Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output 0 1 5 Submitted Solution: ``` while True: n=int(input()) if n==0:break; a=list(map(int, input().split())) a.sort() ans=a[1]-a[0] for i in range(2, n): if a[i]-a[i-1]<ans:ans=a[i]-a[i-1] print(ans) ```
instruction
0
26,455
11
52,910
Yes
output
1
26,455
11
52,911
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Selection of Participants of an Experiment Dr. Tsukuba has devised a new method of programming training. In order to evaluate the effectiveness of this method, he plans to carry out a control experiment. Having two students as the participants of the experiment, one of them will be trained under the conventional method and the other under his new method. Comparing the final scores of these two, he will be able to judge the effectiveness of his method. It is important to select two students having the closest possible scores, for making the comparison fair. He has a list of the scores of all students who can participate in the experiment. You are asked to write a program which selects two of them having the smallest difference in their scores. Input The input consists of multiple datasets, each in the following format. n a1 a2 … an A dataset consists of two lines. The number of students n is given in the first line. n is an integer satisfying 2 ≤ n ≤ 1000. The second line gives scores of n students. ai (1 ≤ i ≤ n) is the score of the i-th student, which is a non-negative integer not greater than 1,000,000. The end of the input is indicated by a line containing a zero. The sum of n's of all the datasets does not exceed 50,000. Output For each dataset, select two students with the smallest difference in their scores, and output in a line (the absolute value of) the difference. Sample Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output for the Sample Input 0 1 5 Example Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output 0 1 5 Submitted Solution: ``` n=int(input()) while n!=0: a=list(map(int,input().split())) ans=10**18 for i in range(len(a)): for j in range(len(a)): if i!=j: ans=min(ans,abs(a[i]-a[j])) print(ans) n=int(input()) ```
instruction
0
26,456
11
52,912
Yes
output
1
26,456
11
52,913
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Selection of Participants of an Experiment Dr. Tsukuba has devised a new method of programming training. In order to evaluate the effectiveness of this method, he plans to carry out a control experiment. Having two students as the participants of the experiment, one of them will be trained under the conventional method and the other under his new method. Comparing the final scores of these two, he will be able to judge the effectiveness of his method. It is important to select two students having the closest possible scores, for making the comparison fair. He has a list of the scores of all students who can participate in the experiment. You are asked to write a program which selects two of them having the smallest difference in their scores. Input The input consists of multiple datasets, each in the following format. n a1 a2 … an A dataset consists of two lines. The number of students n is given in the first line. n is an integer satisfying 2 ≤ n ≤ 1000. The second line gives scores of n students. ai (1 ≤ i ≤ n) is the score of the i-th student, which is a non-negative integer not greater than 1,000,000. The end of the input is indicated by a line containing a zero. The sum of n's of all the datasets does not exceed 50,000. Output For each dataset, select two students with the smallest difference in their scores, and output in a line (the absolute value of) the difference. Sample Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output for the Sample Input 0 1 5 Example Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output 0 1 5 Submitted Solution: ``` min_list = [] while True: n = int(input()) if n == 0: break s = list(map(int, input().split())) s.sort(reverse=True) min1 = s[0] - s[1] for i in range(n-1): min1 = min(min1, s[i]-s[i+1]) min_list.append(min1) for i in range(len(min_list)): print(min_list[i]) ```
instruction
0
26,457
11
52,914
Yes
output
1
26,457
11
52,915
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Selection of Participants of an Experiment Dr. Tsukuba has devised a new method of programming training. In order to evaluate the effectiveness of this method, he plans to carry out a control experiment. Having two students as the participants of the experiment, one of them will be trained under the conventional method and the other under his new method. Comparing the final scores of these two, he will be able to judge the effectiveness of his method. It is important to select two students having the closest possible scores, for making the comparison fair. He has a list of the scores of all students who can participate in the experiment. You are asked to write a program which selects two of them having the smallest difference in their scores. Input The input consists of multiple datasets, each in the following format. n a1 a2 … an A dataset consists of two lines. The number of students n is given in the first line. n is an integer satisfying 2 ≤ n ≤ 1000. The second line gives scores of n students. ai (1 ≤ i ≤ n) is the score of the i-th student, which is a non-negative integer not greater than 1,000,000. The end of the input is indicated by a line containing a zero. The sum of n's of all the datasets does not exceed 50,000. Output For each dataset, select two students with the smallest difference in their scores, and output in a line (the absolute value of) the difference. Sample Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output for the Sample Input 0 1 5 Example Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output 0 1 5 Submitted Solution: ``` while int(input()): l=sorted(map(int,input().split())) ll=range(len(l)) m=[0 for _ in ll] m[1]=abs(l[0]-l[1]) for i in ll[2:]: m[i]=min(m[i-1],abs(l[i]-l[i-1])) print(m[-1]) ```
instruction
0
26,458
11
52,916
Yes
output
1
26,458
11
52,917
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Selection of Participants of an Experiment Dr. Tsukuba has devised a new method of programming training. In order to evaluate the effectiveness of this method, he plans to carry out a control experiment. Having two students as the participants of the experiment, one of them will be trained under the conventional method and the other under his new method. Comparing the final scores of these two, he will be able to judge the effectiveness of his method. It is important to select two students having the closest possible scores, for making the comparison fair. He has a list of the scores of all students who can participate in the experiment. You are asked to write a program which selects two of them having the smallest difference in their scores. Input The input consists of multiple datasets, each in the following format. n a1 a2 … an A dataset consists of two lines. The number of students n is given in the first line. n is an integer satisfying 2 ≤ n ≤ 1000. The second line gives scores of n students. ai (1 ≤ i ≤ n) is the score of the i-th student, which is a non-negative integer not greater than 1,000,000. The end of the input is indicated by a line containing a zero. The sum of n's of all the datasets does not exceed 50,000. Output For each dataset, select two students with the smallest difference in their scores, and output in a line (the absolute value of) the difference. Sample Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output for the Sample Input 0 1 5 Example Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output 0 1 5 Submitted Solution: ``` while True: n,m = map(int,input().split()) if n == 0 and m == 0: break a = list(map(int,input().split())) a.sort() list1 = [] for i in range(n): for j in range(i + 1, n): price1 = a[i] + a[j] list1.append(price1) list1.sort() list2 = list(filter(lambda p: m >= p, list1)) if list2: print(max(list2)) else: print("NONE") ```
instruction
0
26,459
11
52,918
No
output
1
26,459
11
52,919
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Selection of Participants of an Experiment Dr. Tsukuba has devised a new method of programming training. In order to evaluate the effectiveness of this method, he plans to carry out a control experiment. Having two students as the participants of the experiment, one of them will be trained under the conventional method and the other under his new method. Comparing the final scores of these two, he will be able to judge the effectiveness of his method. It is important to select two students having the closest possible scores, for making the comparison fair. He has a list of the scores of all students who can participate in the experiment. You are asked to write a program which selects two of them having the smallest difference in their scores. Input The input consists of multiple datasets, each in the following format. n a1 a2 … an A dataset consists of two lines. The number of students n is given in the first line. n is an integer satisfying 2 ≤ n ≤ 1000. The second line gives scores of n students. ai (1 ≤ i ≤ n) is the score of the i-th student, which is a non-negative integer not greater than 1,000,000. The end of the input is indicated by a line containing a zero. The sum of n's of all the datasets does not exceed 50,000. Output For each dataset, select two students with the smallest difference in their scores, and output in a line (the absolute value of) the difference. Sample Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output for the Sample Input 0 1 5 Example Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output 0 1 5 Submitted Solution: ``` while True: n = int(input()) a = list(map(int, input().split())) l = list() for i in range(1, n-1): for j in range(i+1,n): l.append(abs(a[i]-a[j])) if l == []: continue if n == 0: break print(min(l)) ```
instruction
0
26,460
11
52,920
No
output
1
26,460
11
52,921
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Selection of Participants of an Experiment Dr. Tsukuba has devised a new method of programming training. In order to evaluate the effectiveness of this method, he plans to carry out a control experiment. Having two students as the participants of the experiment, one of them will be trained under the conventional method and the other under his new method. Comparing the final scores of these two, he will be able to judge the effectiveness of his method. It is important to select two students having the closest possible scores, for making the comparison fair. He has a list of the scores of all students who can participate in the experiment. You are asked to write a program which selects two of them having the smallest difference in their scores. Input The input consists of multiple datasets, each in the following format. n a1 a2 … an A dataset consists of two lines. The number of students n is given in the first line. n is an integer satisfying 2 ≤ n ≤ 1000. The second line gives scores of n students. ai (1 ≤ i ≤ n) is the score of the i-th student, which is a non-negative integer not greater than 1,000,000. The end of the input is indicated by a line containing a zero. The sum of n's of all the datasets does not exceed 50,000. Output For each dataset, select two students with the smallest difference in their scores, and output in a line (the absolute value of) the difference. Sample Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output for the Sample Input 0 1 5 Example Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output 0 1 5 Submitted Solution: ``` while True: n = int(input()) a = list(map(int, input().split())) l = list() for i in range(1, n-1): for j in range(i+1,n): l.append(abs(a[i]-a[j])) if l == []: break if n == 0: break print(min(l)) ```
instruction
0
26,461
11
52,922
No
output
1
26,461
11
52,923
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Selection of Participants of an Experiment Dr. Tsukuba has devised a new method of programming training. In order to evaluate the effectiveness of this method, he plans to carry out a control experiment. Having two students as the participants of the experiment, one of them will be trained under the conventional method and the other under his new method. Comparing the final scores of these two, he will be able to judge the effectiveness of his method. It is important to select two students having the closest possible scores, for making the comparison fair. He has a list of the scores of all students who can participate in the experiment. You are asked to write a program which selects two of them having the smallest difference in their scores. Input The input consists of multiple datasets, each in the following format. n a1 a2 … an A dataset consists of two lines. The number of students n is given in the first line. n is an integer satisfying 2 ≤ n ≤ 1000. The second line gives scores of n students. ai (1 ≤ i ≤ n) is the score of the i-th student, which is a non-negative integer not greater than 1,000,000. The end of the input is indicated by a line containing a zero. The sum of n's of all the datasets does not exceed 50,000. Output For each dataset, select two students with the smallest difference in their scores, and output in a line (the absolute value of) the difference. Sample Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output for the Sample Input 0 1 5 Example Input 5 10 10 10 10 10 5 1 5 8 9 11 7 11 34 83 47 59 29 70 0 Output 0 1 5 Submitted Solution: ``` f=lambda s,t:abs(s-t) while 1: n=int(input()) if not n:break a=sorted(list(map(int,input().split()))) s,t=a[:2] for i in a[2:]: u=f(s,t) if u>abs(s-i): t=i elif u>abs(t-i): s=i print(f(s,t)) ```
instruction
0
26,462
11
52,924
No
output
1
26,462
11
52,925
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. HAI I HAS A TUX GIMMEH TUX I HAS A FOO ITS 0 I HAS A BAR ITS 0 I HAS A BAZ ITS 0 I HAS A QUZ ITS 1 TUX IS NOW A NUMBR IM IN YR LOOP NERFIN YR TUX TIL BOTH SAEM TUX AN 0 I HAS A PUR GIMMEH PUR PUR IS NOW A NUMBR FOO R SUM OF FOO AN PUR BAR R SUM OF BAR AN 1 BOTH SAEM BIGGR OF PRODUKT OF FOO AN QUZ AN PRODUKT OF BAR BAZ AN PRODUKT OF FOO AN QUZ O RLY? YA RLY BAZ R FOO QUZ R BAR OIC IM OUTTA YR LOOP BAZ IS NOW A NUMBAR VISIBLE SMOOSH QUOSHUNT OF BAZ QUZ KTHXBYE Input The input contains between 1 and 10 lines, i-th line contains an integer number xi (0 ≤ xi ≤ 9). Output Output a single real number. The answer is considered to be correct if its absolute or relative error does not exceed 10 - 4. Examples Input 3 0 1 1 Output 0.666667 Submitted Solution: ``` #input n = int(input()) fo,br,bz,qu = 0,0,0,1 for i in range(n): p = int(input()) fo = fo+p br = br+1 if bz/qu<=fo/br: bz = fo qu = br else : break print(bz/qu) ```
instruction
0
26,836
11
53,672
Yes
output
1
26,836
11
53,673
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. HAI I HAS A TUX GIMMEH TUX I HAS A FOO ITS 0 I HAS A BAR ITS 0 I HAS A BAZ ITS 0 I HAS A QUZ ITS 1 TUX IS NOW A NUMBR IM IN YR LOOP NERFIN YR TUX TIL BOTH SAEM TUX AN 0 I HAS A PUR GIMMEH PUR PUR IS NOW A NUMBR FOO R SUM OF FOO AN PUR BAR R SUM OF BAR AN 1 BOTH SAEM BIGGR OF PRODUKT OF FOO AN QUZ AN PRODUKT OF BAR BAZ AN PRODUKT OF FOO AN QUZ O RLY? YA RLY BAZ R FOO QUZ R BAR OIC IM OUTTA YR LOOP BAZ IS NOW A NUMBAR VISIBLE SMOOSH QUOSHUNT OF BAZ QUZ KTHXBYE Input The input contains between 1 and 10 lines, i-th line contains an integer number xi (0 ≤ xi ≤ 9). Output Output a single real number. The answer is considered to be correct if its absolute or relative error does not exceed 10 - 4. Examples Input 3 0 1 1 Output 0.666667 Submitted Solution: ``` tux = int(input()) foo = 0 bar = 0 baz = 0 quz = 1 for i in range(tux): pur = int(input()) foo += pur bar += 1 if foo * quz > baz * bar: baz = foo quz = bar print(baz / quz) ```
instruction
0
26,837
11
53,674
Yes
output
1
26,837
11
53,675
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. HAI I HAS A TUX GIMMEH TUX I HAS A FOO ITS 0 I HAS A BAR ITS 0 I HAS A BAZ ITS 0 I HAS A QUZ ITS 1 TUX IS NOW A NUMBR IM IN YR LOOP NERFIN YR TUX TIL BOTH SAEM TUX AN 0 I HAS A PUR GIMMEH PUR PUR IS NOW A NUMBR FOO R SUM OF FOO AN PUR BAR R SUM OF BAR AN 1 BOTH SAEM BIGGR OF PRODUKT OF FOO AN QUZ AN PRODUKT OF BAR BAZ AN PRODUKT OF FOO AN QUZ O RLY? YA RLY BAZ R FOO QUZ R BAR OIC IM OUTTA YR LOOP BAZ IS NOW A NUMBAR VISIBLE SMOOSH QUOSHUNT OF BAZ QUZ KTHXBYE Input The input contains between 1 and 10 lines, i-th line contains an integer number xi (0 ≤ xi ≤ 9). Output Output a single real number. The answer is considered to be correct if its absolute or relative error does not exceed 10 - 4. Examples Input 3 0 1 1 Output 0.666667 Submitted Solution: ``` tux = input() foo, bar, baz,quz = 0,0,0,1 tux = int(tux) for i in range(tux): pur = int(input()) foo+=pur bar+=1 if foo*quz > bar*baz: baz = foo quz = bar print(round(baz/quz,6)) ```
instruction
0
26,838
11
53,676
Yes
output
1
26,838
11
53,677
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. HAI I HAS A TUX GIMMEH TUX I HAS A FOO ITS 0 I HAS A BAR ITS 0 I HAS A BAZ ITS 0 I HAS A QUZ ITS 1 TUX IS NOW A NUMBR IM IN YR LOOP NERFIN YR TUX TIL BOTH SAEM TUX AN 0 I HAS A PUR GIMMEH PUR PUR IS NOW A NUMBR FOO R SUM OF FOO AN PUR BAR R SUM OF BAR AN 1 BOTH SAEM BIGGR OF PRODUKT OF FOO AN QUZ AN PRODUKT OF BAR BAZ AN PRODUKT OF FOO AN QUZ O RLY? YA RLY BAZ R FOO QUZ R BAR OIC IM OUTTA YR LOOP BAZ IS NOW A NUMBAR VISIBLE SMOOSH QUOSHUNT OF BAZ QUZ KTHXBYE Input The input contains between 1 and 10 lines, i-th line contains an integer number xi (0 ≤ xi ≤ 9). Output Output a single real number. The answer is considered to be correct if its absolute or relative error does not exceed 10 - 4. Examples Input 3 0 1 1 Output 0.666667 Submitted Solution: ``` TUX=int(input()) FOO=0 BAR=0 BAZ=0 QUZ=1 for i in range(TUX): PUR=int(input()) FOO=FOO+PUR BAR=BAR+1 if FOO*QUZ>BAZ*BAR: BAZ=FOO QUZ=BAR print(BAZ/QUZ) ```
instruction
0
26,839
11
53,678
Yes
output
1
26,839
11
53,679
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. HAI I HAS A TUX GIMMEH TUX I HAS A FOO ITS 0 I HAS A BAR ITS 0 I HAS A BAZ ITS 0 I HAS A QUZ ITS 1 TUX IS NOW A NUMBR IM IN YR LOOP NERFIN YR TUX TIL BOTH SAEM TUX AN 0 I HAS A PUR GIMMEH PUR PUR IS NOW A NUMBR FOO R SUM OF FOO AN PUR BAR R SUM OF BAR AN 1 BOTH SAEM BIGGR OF PRODUKT OF FOO AN QUZ AN PRODUKT OF BAR BAZ AN PRODUKT OF FOO AN QUZ O RLY? YA RLY BAZ R FOO QUZ R BAR OIC IM OUTTA YR LOOP BAZ IS NOW A NUMBAR VISIBLE SMOOSH QUOSHUNT OF BAZ QUZ KTHXBYE Input The input contains between 1 and 10 lines, i-th line contains an integer number xi (0 ≤ xi ≤ 9). Output Output a single real number. The answer is considered to be correct if its absolute or relative error does not exceed 10 - 4. Examples Input 3 0 1 1 Output 0.666667 Submitted Solution: ``` n = int(input()) cnt = 0 for i in range(n): cnt += int(input()) print(cnt / n) ```
instruction
0
26,840
11
53,680
No
output
1
26,840
11
53,681
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. HAI I HAS A TUX GIMMEH TUX I HAS A FOO ITS 0 I HAS A BAR ITS 0 I HAS A BAZ ITS 0 I HAS A QUZ ITS 1 TUX IS NOW A NUMBR IM IN YR LOOP NERFIN YR TUX TIL BOTH SAEM TUX AN 0 I HAS A PUR GIMMEH PUR PUR IS NOW A NUMBR FOO R SUM OF FOO AN PUR BAR R SUM OF BAR AN 1 BOTH SAEM BIGGR OF PRODUKT OF FOO AN QUZ AN PRODUKT OF BAR BAZ AN PRODUKT OF FOO AN QUZ O RLY? YA RLY BAZ R FOO QUZ R BAR OIC IM OUTTA YR LOOP BAZ IS NOW A NUMBAR VISIBLE SMOOSH QUOSHUNT OF BAZ QUZ KTHXBYE Input The input contains between 1 and 10 lines, i-th line contains an integer number xi (0 ≤ xi ≤ 9). Output Output a single real number. The answer is considered to be correct if its absolute or relative error does not exceed 10 - 4. Examples Input 3 0 1 1 Output 0.666667 Submitted Solution: ``` t = int(input()) p, q = 0, 0 for i in range(t): d = int(input()) p += d q += 1 print(p / q) ```
instruction
0
26,841
11
53,682
No
output
1
26,841
11
53,683
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. HAI I HAS A TUX GIMMEH TUX I HAS A FOO ITS 0 I HAS A BAR ITS 0 I HAS A BAZ ITS 0 I HAS A QUZ ITS 1 TUX IS NOW A NUMBR IM IN YR LOOP NERFIN YR TUX TIL BOTH SAEM TUX AN 0 I HAS A PUR GIMMEH PUR PUR IS NOW A NUMBR FOO R SUM OF FOO AN PUR BAR R SUM OF BAR AN 1 BOTH SAEM BIGGR OF PRODUKT OF FOO AN QUZ AN PRODUKT OF BAR BAZ AN PRODUKT OF FOO AN QUZ O RLY? YA RLY BAZ R FOO QUZ R BAR OIC IM OUTTA YR LOOP BAZ IS NOW A NUMBAR VISIBLE SMOOSH QUOSHUNT OF BAZ QUZ KTHXBYE Input The input contains between 1 and 10 lines, i-th line contains an integer number xi (0 ≤ xi ≤ 9). Output Output a single real number. The answer is considered to be correct if its absolute or relative error does not exceed 10 - 4. Examples Input 3 0 1 1 Output 0.666667 Submitted Solution: ``` numbers = [] for _ in range(int(input())): numbers.append(int(input())) print(sum(numbers)/len(numbers)) ```
instruction
0
26,842
11
53,684
No
output
1
26,842
11
53,685
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. HAI I HAS A TUX GIMMEH TUX I HAS A FOO ITS 0 I HAS A BAR ITS 0 I HAS A BAZ ITS 0 I HAS A QUZ ITS 1 TUX IS NOW A NUMBR IM IN YR LOOP NERFIN YR TUX TIL BOTH SAEM TUX AN 0 I HAS A PUR GIMMEH PUR PUR IS NOW A NUMBR FOO R SUM OF FOO AN PUR BAR R SUM OF BAR AN 1 BOTH SAEM BIGGR OF PRODUKT OF FOO AN QUZ AN PRODUKT OF BAR BAZ AN PRODUKT OF FOO AN QUZ O RLY? YA RLY BAZ R FOO QUZ R BAR OIC IM OUTTA YR LOOP BAZ IS NOW A NUMBAR VISIBLE SMOOSH QUOSHUNT OF BAZ QUZ KTHXBYE Input The input contains between 1 and 10 lines, i-th line contains an integer number xi (0 ≤ xi ≤ 9). Output Output a single real number. The answer is considered to be correct if its absolute or relative error does not exceed 10 - 4. Examples Input 3 0 1 1 Output 0.666667 Submitted Solution: ``` s=input() n=int(input()) ans="" for i in range(len(s)): x=s[i] if(ord(x)<n+97): ans+=x.upper() else: ans+=x.lower() print(ans) ```
instruction
0
26,843
11
53,686
No
output
1
26,843
11
53,687
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Professor GukiZ likes programming contests. He especially likes to rate his students on the contests he prepares. Now, he has decided to prepare a new contest. In total, n students will attend, and before the start, every one of them has some positive integer rating. Students are indexed from 1 to n. Let's denote the rating of i-th student as ai. After the contest ends, every student will end up with some positive integer position. GukiZ expects that his students will take places according to their ratings. He thinks that each student will take place equal to <image>. In particular, if student A has rating strictly lower then student B, A will get the strictly better position than B, and if two students have equal ratings, they will share the same position. GukiZ would like you to reconstruct the results by following his expectations. Help him and determine the position after the end of the contest for each of his students if everything goes as expected. Input The first line contains integer n (1 ≤ n ≤ 2000), number of GukiZ's students. The second line contains n numbers a1, a2, ... an (1 ≤ ai ≤ 2000) where ai is the rating of i-th student (1 ≤ i ≤ n). Output In a single line, print the position after the end of the contest for each of n students in the same order as they appear in the input. Examples Input 3 1 3 3 Output 3 1 1 Input 1 1 Output 1 Input 5 3 5 3 4 5 Output 4 1 4 3 1 Note In the first sample, students 2 and 3 are positioned first (there is no other student with higher rating), and student 1 is positioned third since there are two students with higher rating. In the second sample, first student is the only one on the contest. In the third sample, students 2 and 5 share the first position with highest rating, student 4 is next with third position, and students 1 and 3 are the last sharing fourth position. Submitted Solution: ``` n = int(input()) a = [-int(i) for i in input().split()] b = 1 c = 1 d = {} e = a[:] a.sort() d[a[0]] = 1 for i in range(1, n): if a[i] > a[i - 1]: b += c c = 1 else: c += 1 d[a[i]] = b for i in e: print(d[i], end = ' ') ```
instruction
0
26,929
11
53,858
Yes
output
1
26,929
11
53,859
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Professor GukiZ likes programming contests. He especially likes to rate his students on the contests he prepares. Now, he has decided to prepare a new contest. In total, n students will attend, and before the start, every one of them has some positive integer rating. Students are indexed from 1 to n. Let's denote the rating of i-th student as ai. After the contest ends, every student will end up with some positive integer position. GukiZ expects that his students will take places according to their ratings. He thinks that each student will take place equal to <image>. In particular, if student A has rating strictly lower then student B, A will get the strictly better position than B, and if two students have equal ratings, they will share the same position. GukiZ would like you to reconstruct the results by following his expectations. Help him and determine the position after the end of the contest for each of his students if everything goes as expected. Input The first line contains integer n (1 ≤ n ≤ 2000), number of GukiZ's students. The second line contains n numbers a1, a2, ... an (1 ≤ ai ≤ 2000) where ai is the rating of i-th student (1 ≤ i ≤ n). Output In a single line, print the position after the end of the contest for each of n students in the same order as they appear in the input. Examples Input 3 1 3 3 Output 3 1 1 Input 1 1 Output 1 Input 5 3 5 3 4 5 Output 4 1 4 3 1 Note In the first sample, students 2 and 3 are positioned first (there is no other student with higher rating), and student 1 is positioned third since there are two students with higher rating. In the second sample, first student is the only one on the contest. In the third sample, students 2 and 5 share the first position with highest rating, student 4 is next with third position, and students 1 and 3 are the last sharing fourth position. Submitted Solution: ``` n = int(input()) a = list(map(int, input().split())) b = [[0]*2 for i in range(n)] for i in range(n): b[i][0] = a[i] b[i][1] = i b = sorted(b)[::-1] ans = [0]*n place = 1 num_m = 0 m = b[0][0] for i in range(n): if b[i][0] != m: place += num_m m = b[i][0] num_m = 1 else: num_m += 1 ans[b[i][1]] = place for i in range(n-1): print(ans[i], end = ' ') print(ans[n-1]) ```
instruction
0
26,930
11
53,860
Yes
output
1
26,930
11
53,861
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Professor GukiZ likes programming contests. He especially likes to rate his students on the contests he prepares. Now, he has decided to prepare a new contest. In total, n students will attend, and before the start, every one of them has some positive integer rating. Students are indexed from 1 to n. Let's denote the rating of i-th student as ai. After the contest ends, every student will end up with some positive integer position. GukiZ expects that his students will take places according to their ratings. He thinks that each student will take place equal to <image>. In particular, if student A has rating strictly lower then student B, A will get the strictly better position than B, and if two students have equal ratings, they will share the same position. GukiZ would like you to reconstruct the results by following his expectations. Help him and determine the position after the end of the contest for each of his students if everything goes as expected. Input The first line contains integer n (1 ≤ n ≤ 2000), number of GukiZ's students. The second line contains n numbers a1, a2, ... an (1 ≤ ai ≤ 2000) where ai is the rating of i-th student (1 ≤ i ≤ n). Output In a single line, print the position after the end of the contest for each of n students in the same order as they appear in the input. Examples Input 3 1 3 3 Output 3 1 1 Input 1 1 Output 1 Input 5 3 5 3 4 5 Output 4 1 4 3 1 Note In the first sample, students 2 and 3 are positioned first (there is no other student with higher rating), and student 1 is positioned third since there are two students with higher rating. In the second sample, first student is the only one on the contest. In the third sample, students 2 and 5 share the first position with highest rating, student 4 is next with third position, and students 1 and 3 are the last sharing fourth position. Submitted Solution: ``` n=int(input()) s=input() a=list(map(int,s.split())) i=0 while(i<n): count=0 j=0 while(j<n): if(a[j]>a[i]): count+=1 j+=1 print(1+count,end=" ") i=i+1 ```
instruction
0
26,931
11
53,862
Yes
output
1
26,931
11
53,863
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Professor GukiZ likes programming contests. He especially likes to rate his students on the contests he prepares. Now, he has decided to prepare a new contest. In total, n students will attend, and before the start, every one of them has some positive integer rating. Students are indexed from 1 to n. Let's denote the rating of i-th student as ai. After the contest ends, every student will end up with some positive integer position. GukiZ expects that his students will take places according to their ratings. He thinks that each student will take place equal to <image>. In particular, if student A has rating strictly lower then student B, A will get the strictly better position than B, and if two students have equal ratings, they will share the same position. GukiZ would like you to reconstruct the results by following his expectations. Help him and determine the position after the end of the contest for each of his students if everything goes as expected. Input The first line contains integer n (1 ≤ n ≤ 2000), number of GukiZ's students. The second line contains n numbers a1, a2, ... an (1 ≤ ai ≤ 2000) where ai is the rating of i-th student (1 ≤ i ≤ n). Output In a single line, print the position after the end of the contest for each of n students in the same order as they appear in the input. Examples Input 3 1 3 3 Output 3 1 1 Input 1 1 Output 1 Input 5 3 5 3 4 5 Output 4 1 4 3 1 Note In the first sample, students 2 and 3 are positioned first (there is no other student with higher rating), and student 1 is positioned third since there are two students with higher rating. In the second sample, first student is the only one on the contest. In the third sample, students 2 and 5 share the first position with highest rating, student 4 is next with third position, and students 1 and 3 are the last sharing fourth position. Submitted Solution: ``` n = int(input()) rating = [int(i) for i in input().split()] rank = sorted(rating, reverse = True) res = {} count = 1 for i in rank: if i not in res: res[i] = count count+=1 ans = [] for i in rating: ans.append(str(res[i])) print(" ".join(ans)) ```
instruction
0
26,932
11
53,864
Yes
output
1
26,932
11
53,865
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Professor GukiZ likes programming contests. He especially likes to rate his students on the contests he prepares. Now, he has decided to prepare a new contest. In total, n students will attend, and before the start, every one of them has some positive integer rating. Students are indexed from 1 to n. Let's denote the rating of i-th student as ai. After the contest ends, every student will end up with some positive integer position. GukiZ expects that his students will take places according to their ratings. He thinks that each student will take place equal to <image>. In particular, if student A has rating strictly lower then student B, A will get the strictly better position than B, and if two students have equal ratings, they will share the same position. GukiZ would like you to reconstruct the results by following his expectations. Help him and determine the position after the end of the contest for each of his students if everything goes as expected. Input The first line contains integer n (1 ≤ n ≤ 2000), number of GukiZ's students. The second line contains n numbers a1, a2, ... an (1 ≤ ai ≤ 2000) where ai is the rating of i-th student (1 ≤ i ≤ n). Output In a single line, print the position after the end of the contest for each of n students in the same order as they appear in the input. Examples Input 3 1 3 3 Output 3 1 1 Input 1 1 Output 1 Input 5 3 5 3 4 5 Output 4 1 4 3 1 Note In the first sample, students 2 and 3 are positioned first (there is no other student with higher rating), and student 1 is positioned third since there are two students with higher rating. In the second sample, first student is the only one on the contest. In the third sample, students 2 and 5 share the first position with highest rating, student 4 is next with third position, and students 1 and 3 are the last sharing fourth position. Submitted Solution: ``` from sys import * n=int(input()) A=list(map(int,stdin.readline().split())) B=A.copy() B.sort(reverse=True) dp=[-1 for i in range(n)] dp[0],count,dict,m=1,1,{},[] for i in range(1,n): if B[i]==B[i-1]: dp[i]=dp[i-1] count+=1 dict.update({B[i]: dp[i]}) elif count>1: dp[i]=dp[i-1]+count count=1 dict.update({B[i]: dp[i]}) else: dp[i]=dp[i-1]+1 count=1 dict.update({B[i]: dp[i]}) for i in range(len(A)): if A[i] in dict.keys(): m.append(str(dict[A[i]])) stdout.write(str(" ".join(m))+"\n") ```
instruction
0
26,933
11
53,866
No
output
1
26,933
11
53,867
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Professor GukiZ likes programming contests. He especially likes to rate his students on the contests he prepares. Now, he has decided to prepare a new contest. In total, n students will attend, and before the start, every one of them has some positive integer rating. Students are indexed from 1 to n. Let's denote the rating of i-th student as ai. After the contest ends, every student will end up with some positive integer position. GukiZ expects that his students will take places according to their ratings. He thinks that each student will take place equal to <image>. In particular, if student A has rating strictly lower then student B, A will get the strictly better position than B, and if two students have equal ratings, they will share the same position. GukiZ would like you to reconstruct the results by following his expectations. Help him and determine the position after the end of the contest for each of his students if everything goes as expected. Input The first line contains integer n (1 ≤ n ≤ 2000), number of GukiZ's students. The second line contains n numbers a1, a2, ... an (1 ≤ ai ≤ 2000) where ai is the rating of i-th student (1 ≤ i ≤ n). Output In a single line, print the position after the end of the contest for each of n students in the same order as they appear in the input. Examples Input 3 1 3 3 Output 3 1 1 Input 1 1 Output 1 Input 5 3 5 3 4 5 Output 4 1 4 3 1 Note In the first sample, students 2 and 3 are positioned first (there is no other student with higher rating), and student 1 is positioned third since there are two students with higher rating. In the second sample, first student is the only one on the contest. In the third sample, students 2 and 5 share the first position with highest rating, student 4 is next with third position, and students 1 and 3 are the last sharing fourth position. Submitted Solution: ``` n=int(input()) l=list(map(int,input().split())) s='' for k in range(n): l1=[i for i in l if i>k] s=s+str(len(l1)) print(s) ```
instruction
0
26,934
11
53,868
No
output
1
26,934
11
53,869
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Professor GukiZ likes programming contests. He especially likes to rate his students on the contests he prepares. Now, he has decided to prepare a new contest. In total, n students will attend, and before the start, every one of them has some positive integer rating. Students are indexed from 1 to n. Let's denote the rating of i-th student as ai. After the contest ends, every student will end up with some positive integer position. GukiZ expects that his students will take places according to their ratings. He thinks that each student will take place equal to <image>. In particular, if student A has rating strictly lower then student B, A will get the strictly better position than B, and if two students have equal ratings, they will share the same position. GukiZ would like you to reconstruct the results by following his expectations. Help him and determine the position after the end of the contest for each of his students if everything goes as expected. Input The first line contains integer n (1 ≤ n ≤ 2000), number of GukiZ's students. The second line contains n numbers a1, a2, ... an (1 ≤ ai ≤ 2000) where ai is the rating of i-th student (1 ≤ i ≤ n). Output In a single line, print the position after the end of the contest for each of n students in the same order as they appear in the input. Examples Input 3 1 3 3 Output 3 1 1 Input 1 1 Output 1 Input 5 3 5 3 4 5 Output 4 1 4 3 1 Note In the first sample, students 2 and 3 are positioned first (there is no other student with higher rating), and student 1 is positioned third since there are two students with higher rating. In the second sample, first student is the only one on the contest. In the third sample, students 2 and 5 share the first position with highest rating, student 4 is next with third position, and students 1 and 3 are the last sharing fourth position. Submitted Solution: ``` n=int(input()) ls=list(map(int,input().split())) ls=sorted(ls) for x in ls: print(ls[::-1].index(x)+1,end=" ") ```
instruction
0
26,935
11
53,870
No
output
1
26,935
11
53,871
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Professor GukiZ likes programming contests. He especially likes to rate his students on the contests he prepares. Now, he has decided to prepare a new contest. In total, n students will attend, and before the start, every one of them has some positive integer rating. Students are indexed from 1 to n. Let's denote the rating of i-th student as ai. After the contest ends, every student will end up with some positive integer position. GukiZ expects that his students will take places according to their ratings. He thinks that each student will take place equal to <image>. In particular, if student A has rating strictly lower then student B, A will get the strictly better position than B, and if two students have equal ratings, they will share the same position. GukiZ would like you to reconstruct the results by following his expectations. Help him and determine the position after the end of the contest for each of his students if everything goes as expected. Input The first line contains integer n (1 ≤ n ≤ 2000), number of GukiZ's students. The second line contains n numbers a1, a2, ... an (1 ≤ ai ≤ 2000) where ai is the rating of i-th student (1 ≤ i ≤ n). Output In a single line, print the position after the end of the contest for each of n students in the same order as they appear in the input. Examples Input 3 1 3 3 Output 3 1 1 Input 1 1 Output 1 Input 5 3 5 3 4 5 Output 4 1 4 3 1 Note In the first sample, students 2 and 3 are positioned first (there is no other student with higher rating), and student 1 is positioned third since there are two students with higher rating. In the second sample, first student is the only one on the contest. In the third sample, students 2 and 5 share the first position with highest rating, student 4 is next with third position, and students 1 and 3 are the last sharing fourth position. Submitted Solution: ``` def function(array,r,output): if r>=len(output): print(*output) return q = array.count(max(array)) for _ in range(q): output[output.index(max(array))] = 1 + r del array[array.index(max(array))] r+=q function(array,r,output) n = int(input()) st = list(map(int,input().split())) out = st function(st,0,st[:]) ```
instruction
0
26,936
11
53,872
No
output
1
26,936
11
53,873
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You and your n - 1 friends have found an array of integers a_1, a_2, ..., a_n. You have decided to share it in the following way: All n of you stand in a line in a particular order. Each minute, the person at the front of the line chooses either the first or the last element of the array, removes it, and keeps it for himself. He then gets out of line, and the next person in line continues the process. You are standing in the m-th position in the line. Before the process starts, you may choose up to k different people in the line, and persuade them to always take either the first or the last element in the array on their turn (for each person his own choice, not necessarily equal for all people), no matter what the elements themselves are. Once the process starts, you cannot persuade any more people, and you cannot change the choices for the people you already persuaded. Suppose that you're doing your choices optimally. What is the greatest integer x such that, no matter what are the choices of the friends you didn't choose to control, the element you will take from the array will be greater than or equal to x? Please note that the friends you don't control may do their choice arbitrarily, and they will not necessarily take the biggest element available. Input The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The description of the test cases follows. The first line of each test case contains three space-separated integers n, m and k (1 ≤ m ≤ n ≤ 3500, 0 ≤ k ≤ n - 1) — the number of elements in the array, your position in line and the number of people whose choices you can fix. The second line of each test case contains n positive integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — elements of the array. It is guaranteed that the sum of n over all test cases does not exceed 3500. Output For each test case, print the largest integer x such that you can guarantee to obtain at least x. Example Input 4 6 4 2 2 9 2 3 8 5 4 4 1 2 13 60 4 4 1 3 1 2 2 1 2 2 0 1 2 Output 8 4 1 1 Note In the first test case, an optimal strategy is to force the first person to take the last element and the second person to take the first element. * the first person will take the last element (5) because he or she was forced by you to take the last element. After this turn the remaining array will be [2, 9, 2, 3, 8]; * the second person will take the first element (2) because he or she was forced by you to take the first element. After this turn the remaining array will be [9, 2, 3, 8]; * if the third person will choose to take the first element (9), at your turn the remaining array will be [2, 3, 8] and you will take 8 (the last element); * if the third person will choose to take the last element (8), at your turn the remaining array will be [9, 2, 3] and you will take 9 (the first element). Thus, this strategy guarantees to end up with at least 8. We can prove that there is no strategy that guarantees to end up with at least 9. Hence, the answer is 8. In the second test case, an optimal strategy is to force the first person to take the first element. Then, in the worst case, both the second and the third person will take the first element: you will end up with 4. Submitted Solution: ``` from sys import stdin, stdout def main(): T = int(stdin.readline()) for zzz in range(T): arr = list(map(int, stdin.readline().split())) n,m,k = arr item = list(map(int, stdin.readline().split())) if m <= k: k = m - 1 luck = m - k - 1 maxer = 0 for i in range(k+1): left = i right = n - k + i - 1 temp_min = 99999999999 for j in range(luck+1): left2 = j right2 = luck - j temp_max = max(item[left + left2], item[right - right2]) temp_min = min(temp_min, temp_max) if maxer == 0: maxer = temp_min else: maxer = max(maxer, temp_min) stdout.write(str(maxer)+"\n") main() ```
instruction
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27,553
11
55,106
Yes
output
1
27,553
11
55,107
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You and your n - 1 friends have found an array of integers a_1, a_2, ..., a_n. You have decided to share it in the following way: All n of you stand in a line in a particular order. Each minute, the person at the front of the line chooses either the first or the last element of the array, removes it, and keeps it for himself. He then gets out of line, and the next person in line continues the process. You are standing in the m-th position in the line. Before the process starts, you may choose up to k different people in the line, and persuade them to always take either the first or the last element in the array on their turn (for each person his own choice, not necessarily equal for all people), no matter what the elements themselves are. Once the process starts, you cannot persuade any more people, and you cannot change the choices for the people you already persuaded. Suppose that you're doing your choices optimally. What is the greatest integer x such that, no matter what are the choices of the friends you didn't choose to control, the element you will take from the array will be greater than or equal to x? Please note that the friends you don't control may do their choice arbitrarily, and they will not necessarily take the biggest element available. Input The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The description of the test cases follows. The first line of each test case contains three space-separated integers n, m and k (1 ≤ m ≤ n ≤ 3500, 0 ≤ k ≤ n - 1) — the number of elements in the array, your position in line and the number of people whose choices you can fix. The second line of each test case contains n positive integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — elements of the array. It is guaranteed that the sum of n over all test cases does not exceed 3500. Output For each test case, print the largest integer x such that you can guarantee to obtain at least x. Example Input 4 6 4 2 2 9 2 3 8 5 4 4 1 2 13 60 4 4 1 3 1 2 2 1 2 2 0 1 2 Output 8 4 1 1 Note In the first test case, an optimal strategy is to force the first person to take the last element and the second person to take the first element. * the first person will take the last element (5) because he or she was forced by you to take the last element. After this turn the remaining array will be [2, 9, 2, 3, 8]; * the second person will take the first element (2) because he or she was forced by you to take the first element. After this turn the remaining array will be [9, 2, 3, 8]; * if the third person will choose to take the first element (9), at your turn the remaining array will be [2, 3, 8] and you will take 8 (the last element); * if the third person will choose to take the last element (8), at your turn the remaining array will be [9, 2, 3] and you will take 9 (the first element). Thus, this strategy guarantees to end up with at least 8. We can prove that there is no strategy that guarantees to end up with at least 9. Hence, the answer is 8. In the second test case, an optimal strategy is to force the first person to take the first element. Then, in the worst case, both the second and the third person will take the first element: you will end up with 4. Submitted Solution: ``` t = int(input()) for ti in range(t): n,m,k = input().split() n = int(n) m = int(m) k = int(k) a = input().split() for i in range(n): a[i] = int(a[i]) if m <= k+1: # all under control b = a[:m]+a[-m:] print(str(max(b))) else: notcontrol = m - k - 1 allans = [] for j in range(k+1): if j == k: newa = a[j:] else: newa = a[j:-k+j] # while k > 0: # if a[0] < a[-1]: # a = a[1:] # else: # a = a[:-1] # k -= 1 # if lol =ue rang = notcontrol+1 b = newa[:rang]+newa[-rang:] allpairs = [] for i in range(rang): if b[i] > b[i+rang]: allpairs.append(b[i]) else: allpairs.append(b[i+rang]) ans = min(allpairs) allans.append(ans) print(str(max(allans))) ```
instruction
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27,554
11
55,108
Yes
output
1
27,554
11
55,109
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You and your n - 1 friends have found an array of integers a_1, a_2, ..., a_n. You have decided to share it in the following way: All n of you stand in a line in a particular order. Each minute, the person at the front of the line chooses either the first or the last element of the array, removes it, and keeps it for himself. He then gets out of line, and the next person in line continues the process. You are standing in the m-th position in the line. Before the process starts, you may choose up to k different people in the line, and persuade them to always take either the first or the last element in the array on their turn (for each person his own choice, not necessarily equal for all people), no matter what the elements themselves are. Once the process starts, you cannot persuade any more people, and you cannot change the choices for the people you already persuaded. Suppose that you're doing your choices optimally. What is the greatest integer x such that, no matter what are the choices of the friends you didn't choose to control, the element you will take from the array will be greater than or equal to x? Please note that the friends you don't control may do their choice arbitrarily, and they will not necessarily take the biggest element available. Input The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The description of the test cases follows. The first line of each test case contains three space-separated integers n, m and k (1 ≤ m ≤ n ≤ 3500, 0 ≤ k ≤ n - 1) — the number of elements in the array, your position in line and the number of people whose choices you can fix. The second line of each test case contains n positive integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — elements of the array. It is guaranteed that the sum of n over all test cases does not exceed 3500. Output For each test case, print the largest integer x such that you can guarantee to obtain at least x. Example Input 4 6 4 2 2 9 2 3 8 5 4 4 1 2 13 60 4 4 1 3 1 2 2 1 2 2 0 1 2 Output 8 4 1 1 Note In the first test case, an optimal strategy is to force the first person to take the last element and the second person to take the first element. * the first person will take the last element (5) because he or she was forced by you to take the last element. After this turn the remaining array will be [2, 9, 2, 3, 8]; * the second person will take the first element (2) because he or she was forced by you to take the first element. After this turn the remaining array will be [9, 2, 3, 8]; * if the third person will choose to take the first element (9), at your turn the remaining array will be [2, 3, 8] and you will take 8 (the last element); * if the third person will choose to take the last element (8), at your turn the remaining array will be [9, 2, 3] and you will take 9 (the first element). Thus, this strategy guarantees to end up with at least 8. We can prove that there is no strategy that guarantees to end up with at least 9. Hence, the answer is 8. In the second test case, an optimal strategy is to force the first person to take the first element. Then, in the worst case, both the second and the third person will take the first element: you will end up with 4. Submitted Solution: ``` import sys import math import heapq import collections def inputnum(): return(int(input())) def inputnums(): return(map(int,input().split())) def inputlist(): return(list(map(int,input().split()))) def inputstring(): return([x for x in input()]) def inputstringnum(): return([ord(x)-ord('a') for x in input()]) def inputmatrixchar(rows): arr2d = [[j for j in input().strip()] for i in range(rows)] return arr2d def inputmatrixint(rows): arr2d = [] for _ in range(rows): arr2d.append([int(i) for i in input().split()]) return arr2d t = int(input()) for q in range(t): n, m, k = inputnums() a = inputlist() m -= 1 if k > m-1: k = m ans = 0 for r in range(k+1): l = k-r mn = 1000000001 for j in range(l, m-r+1): mn = min(mn, max(a[j], a[n-1-(m-j)])) ans = max(ans, mn) print(ans) ```
instruction
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Yes
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27,555
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55,111
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You and your n - 1 friends have found an array of integers a_1, a_2, ..., a_n. You have decided to share it in the following way: All n of you stand in a line in a particular order. Each minute, the person at the front of the line chooses either the first or the last element of the array, removes it, and keeps it for himself. He then gets out of line, and the next person in line continues the process. You are standing in the m-th position in the line. Before the process starts, you may choose up to k different people in the line, and persuade them to always take either the first or the last element in the array on their turn (for each person his own choice, not necessarily equal for all people), no matter what the elements themselves are. Once the process starts, you cannot persuade any more people, and you cannot change the choices for the people you already persuaded. Suppose that you're doing your choices optimally. What is the greatest integer x such that, no matter what are the choices of the friends you didn't choose to control, the element you will take from the array will be greater than or equal to x? Please note that the friends you don't control may do their choice arbitrarily, and they will not necessarily take the biggest element available. Input The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The description of the test cases follows. The first line of each test case contains three space-separated integers n, m and k (1 ≤ m ≤ n ≤ 3500, 0 ≤ k ≤ n - 1) — the number of elements in the array, your position in line and the number of people whose choices you can fix. The second line of each test case contains n positive integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — elements of the array. It is guaranteed that the sum of n over all test cases does not exceed 3500. Output For each test case, print the largest integer x such that you can guarantee to obtain at least x. Example Input 4 6 4 2 2 9 2 3 8 5 4 4 1 2 13 60 4 4 1 3 1 2 2 1 2 2 0 1 2 Output 8 4 1 1 Note In the first test case, an optimal strategy is to force the first person to take the last element and the second person to take the first element. * the first person will take the last element (5) because he or she was forced by you to take the last element. After this turn the remaining array will be [2, 9, 2, 3, 8]; * the second person will take the first element (2) because he or she was forced by you to take the first element. After this turn the remaining array will be [9, 2, 3, 8]; * if the third person will choose to take the first element (9), at your turn the remaining array will be [2, 3, 8] and you will take 8 (the last element); * if the third person will choose to take the last element (8), at your turn the remaining array will be [9, 2, 3] and you will take 9 (the first element). Thus, this strategy guarantees to end up with at least 8. We can prove that there is no strategy that guarantees to end up with at least 9. Hence, the answer is 8. In the second test case, an optimal strategy is to force the first person to take the first element. Then, in the worst case, both the second and the third person will take the first element: you will end up with 4. Submitted Solution: ``` # Legends Always Come Up with Solution # Author: Manvir Singh import os from io import BytesIO, IOBase import sys from collections import defaultdict, deque, Counter from bisect import * from math import sqrt, pi, ceil, log, inf,gcd from itertools import permutations from copy import deepcopy from heapq import * def main(): for _ in range(int(input())): n, m, k = map(int, input().split()) a = list(map(int, input().split())) if k >= m - 1: print(max(max(a[:m]), max(a[-m:]))) else: ma = 0 for i in range(k + 1): mi, z = inf, m - k - 1 for j in range(z + 1): mi = min(mi, max(a[i + j], a[n - k - 1 - z + j + i])) ma = max(ma, mi) print(ma) # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") if __name__ == "__main__": main() ```
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Yes
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55,113
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You and your n - 1 friends have found an array of integers a_1, a_2, ..., a_n. You have decided to share it in the following way: All n of you stand in a line in a particular order. Each minute, the person at the front of the line chooses either the first or the last element of the array, removes it, and keeps it for himself. He then gets out of line, and the next person in line continues the process. You are standing in the m-th position in the line. Before the process starts, you may choose up to k different people in the line, and persuade them to always take either the first or the last element in the array on their turn (for each person his own choice, not necessarily equal for all people), no matter what the elements themselves are. Once the process starts, you cannot persuade any more people, and you cannot change the choices for the people you already persuaded. Suppose that you're doing your choices optimally. What is the greatest integer x such that, no matter what are the choices of the friends you didn't choose to control, the element you will take from the array will be greater than or equal to x? Please note that the friends you don't control may do their choice arbitrarily, and they will not necessarily take the biggest element available. Input The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The description of the test cases follows. The first line of each test case contains three space-separated integers n, m and k (1 ≤ m ≤ n ≤ 3500, 0 ≤ k ≤ n - 1) — the number of elements in the array, your position in line and the number of people whose choices you can fix. The second line of each test case contains n positive integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — elements of the array. It is guaranteed that the sum of n over all test cases does not exceed 3500. Output For each test case, print the largest integer x such that you can guarantee to obtain at least x. Example Input 4 6 4 2 2 9 2 3 8 5 4 4 1 2 13 60 4 4 1 3 1 2 2 1 2 2 0 1 2 Output 8 4 1 1 Note In the first test case, an optimal strategy is to force the first person to take the last element and the second person to take the first element. * the first person will take the last element (5) because he or she was forced by you to take the last element. After this turn the remaining array will be [2, 9, 2, 3, 8]; * the second person will take the first element (2) because he or she was forced by you to take the first element. After this turn the remaining array will be [9, 2, 3, 8]; * if the third person will choose to take the first element (9), at your turn the remaining array will be [2, 3, 8] and you will take 8 (the last element); * if the third person will choose to take the last element (8), at your turn the remaining array will be [9, 2, 3] and you will take 9 (the first element). Thus, this strategy guarantees to end up with at least 8. We can prove that there is no strategy that guarantees to end up with at least 9. Hence, the answer is 8. In the second test case, an optimal strategy is to force the first person to take the first element. Then, in the worst case, both the second and the third person will take the first element: you will end up with 4. Submitted Solution: ``` for _ in range(int(input())): n,m,k=map(int, input().split()) a=list(map(int, input().split())) k=min(m-1,k) ans=0 for i in range(k+1): curr = 1000000 for j in range(m-1-k+1): curr=min(curr, max(a[i+j],a[i+j+n-m])) ans=max(ans, curr) print(ans) ```
instruction
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55,114
No
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1
27,557
11
55,115
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You and your n - 1 friends have found an array of integers a_1, a_2, ..., a_n. You have decided to share it in the following way: All n of you stand in a line in a particular order. Each minute, the person at the front of the line chooses either the first or the last element of the array, removes it, and keeps it for himself. He then gets out of line, and the next person in line continues the process. You are standing in the m-th position in the line. Before the process starts, you may choose up to k different people in the line, and persuade them to always take either the first or the last element in the array on their turn (for each person his own choice, not necessarily equal for all people), no matter what the elements themselves are. Once the process starts, you cannot persuade any more people, and you cannot change the choices for the people you already persuaded. Suppose that you're doing your choices optimally. What is the greatest integer x such that, no matter what are the choices of the friends you didn't choose to control, the element you will take from the array will be greater than or equal to x? Please note that the friends you don't control may do their choice arbitrarily, and they will not necessarily take the biggest element available. Input The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The description of the test cases follows. The first line of each test case contains three space-separated integers n, m and k (1 ≤ m ≤ n ≤ 3500, 0 ≤ k ≤ n - 1) — the number of elements in the array, your position in line and the number of people whose choices you can fix. The second line of each test case contains n positive integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — elements of the array. It is guaranteed that the sum of n over all test cases does not exceed 3500. Output For each test case, print the largest integer x such that you can guarantee to obtain at least x. Example Input 4 6 4 2 2 9 2 3 8 5 4 4 1 2 13 60 4 4 1 3 1 2 2 1 2 2 0 1 2 Output 8 4 1 1 Note In the first test case, an optimal strategy is to force the first person to take the last element and the second person to take the first element. * the first person will take the last element (5) because he or she was forced by you to take the last element. After this turn the remaining array will be [2, 9, 2, 3, 8]; * the second person will take the first element (2) because he or she was forced by you to take the first element. After this turn the remaining array will be [9, 2, 3, 8]; * if the third person will choose to take the first element (9), at your turn the remaining array will be [2, 3, 8] and you will take 8 (the last element); * if the third person will choose to take the last element (8), at your turn the remaining array will be [9, 2, 3] and you will take 9 (the first element). Thus, this strategy guarantees to end up with at least 8. We can prove that there is no strategy that guarantees to end up with at least 9. Hence, the answer is 8. In the second test case, an optimal strategy is to force the first person to take the first element. Then, in the worst case, both the second and the third person will take the first element: you will end up with 4. Submitted Solution: ``` # -*- coding: utf-8 -*- import bisect import heapq import math import random import sys from collections import Counter, defaultdict, deque from decimal import ROUND_CEILING, ROUND_HALF_UP, Decimal from functools import lru_cache, reduce from itertools import combinations, combinations_with_replacement, product, permutations from operator import add, mul, sub sys.setrecursionlimit(100000) input = sys.stdin.readline INF = 2**62-1 def read_int(): return int(input()) def read_int_n(): return list(map(int, input().split())) def read_float(): return float(input()) def read_float_n(): return list(map(float, input().split())) def read_str(): return input().strip() def read_str_n(): return list(map(str, input().split())) def error_print(*args): print(*args, file=sys.stderr) def mt(f): import time def wrap(*args, **kwargs): s = time.time() ret = f(*args, **kwargs) e = time.time() error_print(e - s, 'sec') return ret return wrap class SegmentTree(): # to par: (n-1) // 2 # to chr: 2n+1, 2n+2 def __init__(self, N, operator, identity_element): """ operator and identity_element has to be a monoid. """ self.__N = 2**int(math.ceil(math.log(N, 2))) self.__table = [identity_element] * (self.__N * 2 - 1) self.__op = operator self.__ie = identity_element def update(self, idx, x): i = self.__N - 1 + idx # target leaf t = self.__table o = self.__op t[i] = x while i != 0: pi = (i - 1) // 2 # parent li = 2*pi + 1 ri = 2*pi + 2 v = o(t[li], t[ri]) if t[pi] != v: t[pi] = v else: break i = pi def query(self, a, b): # error_print(a, b) stack = [(0, 0, self.__N)] t = self.__table o = self.__op ans = self.__ie c = 0 while stack: c += 1 k, l, r = stack.pop() cnd = t[k] if a <= l and r <= b: ans = o(ans, cnd) else: if (l + r) // 2 > a and b > l: stack.append((2 * k + 1, l, (l + r) // 2)) if r > a and b > (l + r) // 2: stack.append((2 * k + 2, (l + r) // 2, r)) return ans def print(self): print(self.__table) def slv(N, M, K, A): K = min(M-1, K) R = M - K - 1 st = SegmentTree(N, min, INF) for i, a in enumerate(A): st.update(i, a) ans = -1 if R != 0: for i in range(K+1): l = st.query(i, i+R) r = st.query(N-(K-i)-R, N-(K-i)) ans = max(ans, min(l, r)) else: for i in range(K+1): ans = max(ans, min(A[i], A[N-(K-i)-1])) return ans def main(): T = read_int() for _ in range(T): N, M, K = read_int_n() A = read_int_n() print(slv(N, M, K, A)) # N = 3500 # M = 3000 # K = 2000 # A = [random.randint(0, 10**9) for _ in range(N)] # print(slv(N, M, K, A)) if __name__ == '__main__': main() ```
instruction
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No
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27,558
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55,117
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You and your n - 1 friends have found an array of integers a_1, a_2, ..., a_n. You have decided to share it in the following way: All n of you stand in a line in a particular order. Each minute, the person at the front of the line chooses either the first or the last element of the array, removes it, and keeps it for himself. He then gets out of line, and the next person in line continues the process. You are standing in the m-th position in the line. Before the process starts, you may choose up to k different people in the line, and persuade them to always take either the first or the last element in the array on their turn (for each person his own choice, not necessarily equal for all people), no matter what the elements themselves are. Once the process starts, you cannot persuade any more people, and you cannot change the choices for the people you already persuaded. Suppose that you're doing your choices optimally. What is the greatest integer x such that, no matter what are the choices of the friends you didn't choose to control, the element you will take from the array will be greater than or equal to x? Please note that the friends you don't control may do their choice arbitrarily, and they will not necessarily take the biggest element available. Input The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The description of the test cases follows. The first line of each test case contains three space-separated integers n, m and k (1 ≤ m ≤ n ≤ 3500, 0 ≤ k ≤ n - 1) — the number of elements in the array, your position in line and the number of people whose choices you can fix. The second line of each test case contains n positive integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — elements of the array. It is guaranteed that the sum of n over all test cases does not exceed 3500. Output For each test case, print the largest integer x such that you can guarantee to obtain at least x. Example Input 4 6 4 2 2 9 2 3 8 5 4 4 1 2 13 60 4 4 1 3 1 2 2 1 2 2 0 1 2 Output 8 4 1 1 Note In the first test case, an optimal strategy is to force the first person to take the last element and the second person to take the first element. * the first person will take the last element (5) because he or she was forced by you to take the last element. After this turn the remaining array will be [2, 9, 2, 3, 8]; * the second person will take the first element (2) because he or she was forced by you to take the first element. After this turn the remaining array will be [9, 2, 3, 8]; * if the third person will choose to take the first element (9), at your turn the remaining array will be [2, 3, 8] and you will take 8 (the last element); * if the third person will choose to take the last element (8), at your turn the remaining array will be [9, 2, 3] and you will take 9 (the first element). Thus, this strategy guarantees to end up with at least 8. We can prove that there is no strategy that guarantees to end up with at least 9. Hence, the answer is 8. In the second test case, an optimal strategy is to force the first person to take the first element. Then, in the worst case, both the second and the third person will take the first element: you will end up with 4. Submitted Solution: ``` t=int(input()) while t>0: n,m,k=map(int,input().split()) a=list(map(int,input().split())) x=0 if m-k-1>0: for i in range(k+1): bad=99999 for j in range(m-k): bad=min(bad,max(a[m-1-i-j],a[n-1-i-j])) x=max(x,bad) else: for i in range(m): x=max(a[m-1-i],a[n-1-i]) print(x) t-=1 ```
instruction
0
27,559
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55,118
No
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27,559
11
55,119
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You and your n - 1 friends have found an array of integers a_1, a_2, ..., a_n. You have decided to share it in the following way: All n of you stand in a line in a particular order. Each minute, the person at the front of the line chooses either the first or the last element of the array, removes it, and keeps it for himself. He then gets out of line, and the next person in line continues the process. You are standing in the m-th position in the line. Before the process starts, you may choose up to k different people in the line, and persuade them to always take either the first or the last element in the array on their turn (for each person his own choice, not necessarily equal for all people), no matter what the elements themselves are. Once the process starts, you cannot persuade any more people, and you cannot change the choices for the people you already persuaded. Suppose that you're doing your choices optimally. What is the greatest integer x such that, no matter what are the choices of the friends you didn't choose to control, the element you will take from the array will be greater than or equal to x? Please note that the friends you don't control may do their choice arbitrarily, and they will not necessarily take the biggest element available. Input The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The description of the test cases follows. The first line of each test case contains three space-separated integers n, m and k (1 ≤ m ≤ n ≤ 3500, 0 ≤ k ≤ n - 1) — the number of elements in the array, your position in line and the number of people whose choices you can fix. The second line of each test case contains n positive integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — elements of the array. It is guaranteed that the sum of n over all test cases does not exceed 3500. Output For each test case, print the largest integer x such that you can guarantee to obtain at least x. Example Input 4 6 4 2 2 9 2 3 8 5 4 4 1 2 13 60 4 4 1 3 1 2 2 1 2 2 0 1 2 Output 8 4 1 1 Note In the first test case, an optimal strategy is to force the first person to take the last element and the second person to take the first element. * the first person will take the last element (5) because he or she was forced by you to take the last element. After this turn the remaining array will be [2, 9, 2, 3, 8]; * the second person will take the first element (2) because he or she was forced by you to take the first element. After this turn the remaining array will be [9, 2, 3, 8]; * if the third person will choose to take the first element (9), at your turn the remaining array will be [2, 3, 8] and you will take 8 (the last element); * if the third person will choose to take the last element (8), at your turn the remaining array will be [9, 2, 3] and you will take 9 (the first element). Thus, this strategy guarantees to end up with at least 8. We can prove that there is no strategy that guarantees to end up with at least 9. Hence, the answer is 8. In the second test case, an optimal strategy is to force the first person to take the first element. Then, in the worst case, both the second and the third person will take the first element: you will end up with 4. Submitted Solution: ``` for i in range(int(input())): n, m, k = map(int, input().split()) a, ans = list(map(int, input().split())), 0 if m == 1: print(max(a[0], a[-1])) continue if k == 0: tem = float('inf') for c in range(m): tem = min(tem, max(a[c], a[m - (m - c)])) print(tem) continue if k >= m: k = m - 1 for j in range(k + 1): for z in range(n - 1, n - k - 2 + j, -1): num = m - (n - (z - j)) # print(j, z, num) tem = float('inf') for c in range(j, j + num + 1): tem = min(tem, max(a[c], a[z - num])) # print(a[c], a[z - num]) num -= 1 ans = max(tem, ans) print(ans) ```
instruction
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27,560
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55,120
No
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1
27,560
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55,121
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently a serious bug has been found in the FOS code. The head of the F company wants to find the culprit and punish him. For that, he set up an organizational meeting, the issue is: who's bugged the code? Each of the n coders on the meeting said: 'I know for sure that either x or y did it!' The head of the company decided to choose two suspects and invite them to his office. Naturally, he should consider the coders' opinions. That's why the head wants to make such a choice that at least p of n coders agreed with it. A coder agrees with the choice of two suspects if at least one of the two people that he named at the meeting was chosen as a suspect. In how many ways can the head of F choose two suspects? Note that even if some coder was chosen as a suspect, he can agree with the head's choice if he named the other chosen coder at the meeting. Input The first line contains integers n and p (3 ≤ n ≤ 3·105; 0 ≤ p ≤ n) — the number of coders in the F company and the minimum number of agreed people. Each of the next n lines contains two integers xi, yi (1 ≤ xi, yi ≤ n) — the numbers of coders named by the i-th coder. It is guaranteed that xi ≠ i, yi ≠ i, xi ≠ yi. Output Print a single integer — the number of possible two-suspect sets. Note that the order of the suspects doesn't matter, that is, sets (1, 2) and (2, 1) are considered identical. Examples Input 4 2 2 3 1 4 1 4 2 1 Output 6 Input 8 6 5 6 5 7 5 8 6 2 2 1 7 3 1 3 1 4 Output 1 Submitted Solution: ``` from collections import defaultdict from bisect import bisect_left as lower import sys input = sys.stdin.readline def put(): return map(int, input().split()) try: n,m = put() cnt, mp = [0]*n, defaultdict() for _ in range(n): x,y = put() x,y = x-1,y-1 key = (min(x,y), max(x,y)) if key in mp: mp[key]+=1 else: mp[key]=1 cnt[x]+=1 cnt[y]+=1 for (x,y),val in mp.items(): if cnt[x]+cnt[y]>= m and cnt[x]+cnt[y]-val<m: ans[x]-=1 ans[y]-=1 except: print('lol') scnt,ans = cnt.copy(), [0]*n scnt.sort() for i in range(n): ans[i]+= n-lower(scnt, m-cnt[i]) if 2*cnt[i]>=m: ans[i]-=1 print(sum(ans)//2) ```
instruction
0
27,815
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55,630
No
output
1
27,815
11
55,631
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently a serious bug has been found in the FOS code. The head of the F company wants to find the culprit and punish him. For that, he set up an organizational meeting, the issue is: who's bugged the code? Each of the n coders on the meeting said: 'I know for sure that either x or y did it!' The head of the company decided to choose two suspects and invite them to his office. Naturally, he should consider the coders' opinions. That's why the head wants to make such a choice that at least p of n coders agreed with it. A coder agrees with the choice of two suspects if at least one of the two people that he named at the meeting was chosen as a suspect. In how many ways can the head of F choose two suspects? Note that even if some coder was chosen as a suspect, he can agree with the head's choice if he named the other chosen coder at the meeting. Input The first line contains integers n and p (3 ≤ n ≤ 3·105; 0 ≤ p ≤ n) — the number of coders in the F company and the minimum number of agreed people. Each of the next n lines contains two integers xi, yi (1 ≤ xi, yi ≤ n) — the numbers of coders named by the i-th coder. It is guaranteed that xi ≠ i, yi ≠ i, xi ≠ yi. Output Print a single integer — the number of possible two-suspect sets. Note that the order of the suspects doesn't matter, that is, sets (1, 2) and (2, 1) are considered identical. Examples Input 4 2 2 3 1 4 1 4 2 1 Output 6 Input 8 6 5 6 5 7 5 8 6 2 2 1 7 3 1 3 1 4 Output 1 Submitted Solution: ``` n, p = map(int, input().split()) coders = [0] * n ans = 0 for _ in range(n): a, b = map(int, input().split()) coders[a - 1] += 1 coders[b - 1] += 1 candidate_amount = sum(1 for c in coders if c >= p) if candidate_amount: for i in range(n): if coders[i] >= p: candidate_amount -= 1 ans += n - 1 - i else: ans += candidate_amount else: m = coders.count(max(coders)) if m > 1: ans = m * (m - 1) // 2 else: coders.remove(max(coders)) ans = coders.count(max(coders)) print(ans) ```
instruction
0
27,816
11
55,632
No
output
1
27,816
11
55,633
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently a serious bug has been found in the FOS code. The head of the F company wants to find the culprit and punish him. For that, he set up an organizational meeting, the issue is: who's bugged the code? Each of the n coders on the meeting said: 'I know for sure that either x or y did it!' The head of the company decided to choose two suspects and invite them to his office. Naturally, he should consider the coders' opinions. That's why the head wants to make such a choice that at least p of n coders agreed with it. A coder agrees with the choice of two suspects if at least one of the two people that he named at the meeting was chosen as a suspect. In how many ways can the head of F choose two suspects? Note that even if some coder was chosen as a suspect, he can agree with the head's choice if he named the other chosen coder at the meeting. Input The first line contains integers n and p (3 ≤ n ≤ 3·105; 0 ≤ p ≤ n) — the number of coders in the F company and the minimum number of agreed people. Each of the next n lines contains two integers xi, yi (1 ≤ xi, yi ≤ n) — the numbers of coders named by the i-th coder. It is guaranteed that xi ≠ i, yi ≠ i, xi ≠ yi. Output Print a single integer — the number of possible two-suspect sets. Note that the order of the suspects doesn't matter, that is, sets (1, 2) and (2, 1) are considered identical. Examples Input 4 2 2 3 1 4 1 4 2 1 Output 6 Input 8 6 5 6 5 7 5 8 6 2 2 1 7 3 1 3 1 4 Output 1 Submitted Solution: ``` __author__ = 'Lipen' def main(): n, p = map(int, input().split()) votes = [0]*n for _ in range(n): x, y = map(int, input().split()) votes[x-1] += 1 votes[y-1] += 1 k = 0 for i in range(n): for j in range(i+1, n): if votes[i] + votes[j] >= p: k += 1 print(k) main() ```
instruction
0
27,817
11
55,634
No
output
1
27,817
11
55,635
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently a serious bug has been found in the FOS code. The head of the F company wants to find the culprit and punish him. For that, he set up an organizational meeting, the issue is: who's bugged the code? Each of the n coders on the meeting said: 'I know for sure that either x or y did it!' The head of the company decided to choose two suspects and invite them to his office. Naturally, he should consider the coders' opinions. That's why the head wants to make such a choice that at least p of n coders agreed with it. A coder agrees with the choice of two suspects if at least one of the two people that he named at the meeting was chosen as a suspect. In how many ways can the head of F choose two suspects? Note that even if some coder was chosen as a suspect, he can agree with the head's choice if he named the other chosen coder at the meeting. Input The first line contains integers n and p (3 ≤ n ≤ 3·105; 0 ≤ p ≤ n) — the number of coders in the F company and the minimum number of agreed people. Each of the next n lines contains two integers xi, yi (1 ≤ xi, yi ≤ n) — the numbers of coders named by the i-th coder. It is guaranteed that xi ≠ i, yi ≠ i, xi ≠ yi. Output Print a single integer — the number of possible two-suspect sets. Note that the order of the suspects doesn't matter, that is, sets (1, 2) and (2, 1) are considered identical. Examples Input 4 2 2 3 1 4 1 4 2 1 Output 6 Input 8 6 5 6 5 7 5 8 6 2 2 1 7 3 1 3 1 4 Output 1 Submitted Solution: ``` import itertools n, p = tuple(map(int, str.split(input()))) c = [0] * n for _ in range(n): for i in tuple(map(int, str.split(input()))): c[i - 1] += 1 count = 0 for i, j in itertools.combinations(range(n), 2): if c[i] + c[j] >= p: count += 1 print(count) ```
instruction
0
27,818
11
55,636
No
output
1
27,818
11
55,637
Provide a correct Python 3 solution for this coding contest problem. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Examples Input 3 3 1 0 5 2 2 3 4 2 4 Output 21 Input 6 6 1 2 3 4 5 6 8 6 9 1 2 0 3 1 4 1 5 9 2 6 5 3 5 8 1 4 1 4 2 1 2 7 1 8 2 8 Output 97
instruction
0
28,146
11
56,292
"Correct Solution: ``` import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines from heapq import heappop, heappush import itertools """ ・最小費用流。流量2を流せばよい。 ・頂点xをx_in,x_outに拡張。x_inからx_outにcapacity1で、価値 a と 0 の辺を貼る ・このままだと最大化問題になっているので、辺のコストをX - a_{ij}とする感じで """ class MinCostFlow: """ 最小費用流。負辺がないと仮定して、BellmanFordを省略している。 """ def __init__(self, N, source, sink): self.N = N self.G = [[] for _ in range(N)] self.source = source self.sink = sink def add_edge(self, fr, to, cap, cost): n1 = len(self.G[fr]) n2 = len(self.G[to]) self.G[fr].append([to, cap, cost, n2]) self.G[to].append([fr, 0, -cost, n1]) def MinCost(self, flow, negative_edge = False): if negative_edge: raise ValueError N = self.N; G = self.G; source = self.source; sink = self.sink INF = 10 ** 18 prev_v = [0] * N; prev_e = [0] * N # 経路復元用 H = [0] * N # potential mincost=0 while flow: dist=[INF] * N dist[source]=0 q = [source] mask = (1 << 20) - 1 while q: x = heappop(q) dv = (x >> 20); v = x & mask if dist[v] < dv: continue if v == sink: break for i,(w,cap,cost,rev) in enumerate(G[v]): dw = dist[v] + cost + H[v] - H[w] if (not cap) or (dist[w] <= dw): continue dist[w] = dw prev_v[w] = v; prev_e[w] = i heappush(q, (dw << 20) + w) if dist[sink] == INF: raise Exception('No Flow Exists') # ポテンシャルの更新 for v,d in enumerate(dist): H[v] += d # 流せる量を取得する d = flow; v = sink while v != source: pv = prev_v[v]; pe = prev_e[v] cap = G[pv][pe][1] if d > cap: d = cap v = pv # 流す mincost += d * H[sink] flow -= d v = sink while v != source: pv = prev_v[v]; pe = prev_e[v] G[pv][pe][1] -= d rev = G[pv][pe][3] G[v][rev][1] += d v = pv return mincost H,W = map(int,readline().split()) A = list(map(int,read().split())) N = 2 * H * W + 2 source = N-2; sink = N-1 G = MinCostFlow(N,source,sink) add = G.add_edge X = 10 ** 6 # スタート地点 add(fr=source, to=0, cap=2, cost=0) # ゴール add(2*H*W-1, sink, 2, 0) # x_in to x_out for x,a in enumerate(A): add(x+x,x+x+1,1,X) # とらない add(x+x,x+x+1,1,X - a) # とる # 左から右への辺 for i,j in itertools.product(range(H),range(W-1)): x = W * i + j; y = x + 1 add(x+x+1,y+y,1,0) # 上から下への辺 for i,j in itertools.product(range(H-1),range(W)): x = W * i + j; y = x + W add(x+x+1,y+y,1,0) cost = G.MinCost(2) # 1点通るごとに、X - costになっている。2人合わせて、(H+W-1) * 2個のXが足されている answer = 2 * (H+W-1) * X -cost print(answer) ```
output
1
28,146
11
56,293
Provide a correct Python 3 solution for this coding contest problem. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Examples Input 3 3 1 0 5 2 2 3 4 2 4 Output 21 Input 6 6 1 2 3 4 5 6 8 6 9 1 2 0 3 1 4 1 5 9 2 6 5 3 5 8 1 4 1 4 2 1 2 7 1 8 2 8 Output 97
instruction
0
28,147
11
56,294
"Correct Solution: ``` H,W = map(int,input().split()) src = [list(map(int,input().split())) for i in range(H)] dp = [[[0 for ex in range(W)] for sx in range(W)] for xy in range(H+W-1)] dp[0][0][0] = src[0][0] for xy in range(H+W-2): n = min(xy+1,H,W,H+W-xy-1) sx0 = max(0,xy-H+1) for sx in range(sx0, sx0+n): for ex in range(sx, sx0+n): sy,ey = xy-sx, xy-ex if sx < W-1 and ex < W-1: gain = src[sy][sx+1] if sx+1 != ex+1: gain += src[ey][ex+1] if dp[xy+1][sx+1][ex+1] < dp[xy][sx][ex] + gain: dp[xy+1][sx+1][ex+1] = dp[xy][sx][ex] + gain if sx < W-1 and ey < H-1: gain = src[sy][sx+1] if sx+1 != ex: gain += src[ey+1][ex] if dp[xy+1][sx+1][ex] < dp[xy][sx][ex] + gain: dp[xy+1][sx+1][ex] = dp[xy][sx][ex] + gain if sy < H-1 and ex < W-1: gain = src[sy+1][sx] if sx != ex+1: gain += src[ey][ex+1] if dp[xy+1][sx][ex+1] < dp[xy][sx][ex] + gain: dp[xy+1][sx][ex+1] = dp[xy][sx][ex] + gain if sy < H-1 and ey < H-1: gain = src[sy+1][sx] if sx != ex: gain += src[ey+1][ex] if dp[xy+1][sx][ex] < dp[xy][sx][ex] + gain: dp[xy+1][sx][ex] = dp[xy][sx][ex] + gain print(dp[-1][-1][-1]) ```
output
1
28,147
11
56,295
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Examples Input 3 3 1 0 5 2 2 3 4 2 4 Output 21 Input 6 6 1 2 3 4 5 6 8 6 9 1 2 0 3 1 4 1 5 9 2 6 5 3 5 8 1 4 1 4 2 1 2 7 1 8 2 8 Output 97 Submitted Solution: ``` H, W = map(int, input().split()) A = [list(map(int, input().split())) for i in range(H)] if H == 1 or W == 1: print(sum(map(sum, A))) exit(0) memo = [{} for i in range(W+H)] def calc(c, p, q): yield 0 if c+1-H < p: yield dfs(c+1, p, q) if q+1 < W: yield dfs(c+1, p, q+1) if p+1 < q: yield dfs(c+1, p+1, q) if q+1 < W: yield dfs(c+1, p+1, q+1) def dfs(c, p, q): mc = memo[c] if (p, q) in mc: return mc[p, q] mc[p, q] = r = max(calc(c, p, q)) + A[c-p][p] + A[c-q][q] return r print(dfs(1, 0, 1) + A[0][0] + A[-1][-1]) ```
instruction
0
28,148
11
56,296
No
output
1
28,148
11
56,297
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Examples Input 3 3 1 0 5 2 2 3 4 2 4 Output 21 Input 6 6 1 2 3 4 5 6 8 6 9 1 2 0 3 1 4 1 5 9 2 6 5 3 5 8 1 4 1 4 2 1 2 7 1 8 2 8 Output 97 Submitted Solution: ``` H, W = map(int, input().split()) A = [list(map(int, input().split())) for i in range(H)] memo = {(W+H-2, H-2, H-1): 0} def dfs(c, p, q): if (c, p, q) in memo: return memo[c, p, q] res = 0 if c+1-W < p < q < H: res = max(res, dfs(c+1, p, q)) if c+1-W < p+1 < q < H: res = max(res, dfs(c+1, p+1, q)) if c+1-W < p < q+1 < H: res = max(res, dfs(c+1, p, q+1)) if c+1-W < p+1 < q+1 < H: res = max(res, dfs(c+1, p+1, q+1)) memo[c, p, q] = res = res + A[c-p][p] + A[c-q][q] return res print(dfs(1, 0, 1) + A[0][0] + A[-1][-1]) ```
instruction
0
28,149
11
56,298
No
output
1
28,149
11
56,299
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Examples Input 3 3 1 0 5 2 2 3 4 2 4 Output 21 Input 6 6 1 2 3 4 5 6 8 6 9 1 2 0 3 1 4 1 5 9 2 6 5 3 5 8 1 4 1 4 2 1 2 7 1 8 2 8 Output 97 Submitted Solution: ``` H, W = map(int, input().split()) A = [list(map(int, input().split())) for i in range(H)] if H <= 2 or W <= 2: print(sum(map(sum, A))) exit(0) def solve(A, W, H): S = {(0, 1): 0} for c in range(1, H-1): T = {} for p, q in S: v = S[p, q] + A[c-p][p] + A[c-q][q] T[p, q] = max(T.get((p, q), 0), v) if p+1 < q: T[p+1, q] = max(T.get((p+1, q), 0), v) if q+1 < W: T[p, q+1] = max(T.get((p, q+1), 0), v) T[p+1, q+1] = max(T.get((p+1, q+1), 0), v) S = T print(c, S) return S B = [e[::-1] for e in A[::-1]] S0 = solve(A, W, H) S1 = solve(B, H, W) print(A[0][0] + A[-1][-1] + max(S0[p, q] + S1[H-1-q, H-1-p] + A[H-1-p][p] + A[H-1-q][q] for p, q in S0)) ```
instruction
0
28,150
11
56,300
No
output
1
28,150
11
56,301
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Output * Print the maximum number of souvenirs they can get. Constraints * $1 \le H, W \le 200$ * $0 \le a_{i, j} \le 10^5$ Subtasks Subtask 1 [ 50 points ] * The testcase in the subtask satisfies $1 \le H \le 2$. Subtask 2 [ 80 points ] * The testcase in the subtask satisfies $1 \le H \le 3$. Subtask 3 [ 120 points ] * The testcase in the subtask satisfies $1 \le H, W \le 7$. Subtask 4 [ 150 points ] * The testcase in the subtask satisfies $1 \le H, W \le 30$. Subtask 5 [ 200 points ] * There are no additional constraints. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Examples Input 3 3 1 0 5 2 2 3 4 2 4 Output 21 Input 6 6 1 2 3 4 5 6 8 6 9 1 2 0 3 1 4 1 5 9 2 6 5 3 5 8 1 4 1 4 2 1 2 7 1 8 2 8 Output 97 Submitted Solution: ``` #tle -solution import copy def main(): H,W = map(int,input().split()) data = [[0]+list(map(int,input().split())) for i in range(H)] a = copy.deepcopy(data) for i in range(H): for j in range(1,W+1): data[i][j] += data[i][j-1] #dp[height][left][right] assert 1<=height<=H, 1<=left<right<=W dp = [[[0]*(W+1) for j in range(W+1)] for i in range(H+1)] #initializaton : height is 1. for i in range(1,W+1): for j in range(i,W+1): dp[1][i][j] =data[0][j] for height in range(2,H+1): for i in range(1,W+1): for j in range(i+1,W+1): dp[height][i][j] = max(max(dp[height-1][i][k] +data[height-1][j]-data[height-1][k-1] for k in range(i+1,j+1))+a[height-1][i],dp[height][i][j]) dp[height][i][j] = max(max(dp[height-1][l][j]+data[height-1][i]-data[height-1][l-1] for l in range(1,i+1))+a[height-1][j],dp[height][i][j]) if i > 1: dp[height][i][j] = max(dp[height][i-1][j],dp[height][i][j-1],dp[height][i][j]) ans = max(dp[H][i][i+1]+data[-1][W] -data[-1][i+1] for i in range(1,W)) print(ans) return if __name__ == "__main__": main() ```
instruction
0
28,151
11
56,302
No
output
1
28,151
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56,303