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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. How to make a cake you'll never eat. Ingredients. * 2 carrots * 0 calories * 100 g chocolate spread * 1 pack of flour * 1 egg Method. 1. Put calories into the mixing bowl. ...
instruction
0
62,562
9
125,124
No
output
1
62,562
9
125,125
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains ...
instruction
0
62,602
9
125,204
Yes
output
1
62,602
9
125,205
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains ...
instruction
0
62,604
9
125,208
Yes
output
1
62,604
9
125,209
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains ...
instruction
0
62,605
9
125,210
Yes
output
1
62,605
9
125,211
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains ...
instruction
0
62,606
9
125,212
No
output
1
62,606
9
125,213
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains ...
instruction
0
62,607
9
125,214
No
output
1
62,607
9
125,215
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains ...
instruction
0
62,608
9
125,216
No
output
1
62,608
9
125,217
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valera had two bags of potatoes, the first of these bags contains x (x ≥ 1) potatoes, and the second — y (y ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains ...
instruction
0
62,609
9
125,218
No
output
1
62,609
9
125,219
Provide tags and a correct Python 3 solution for this coding contest problem. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should also improve his algebra skills. According to ...
instruction
0
62,671
9
125,342
Tags: greedy, implementation Correct Solution: ``` n, vol = map(int, input().split()) ratio = list(map(int, input().split())) ing = list(map(int, input().split())) ks = [ing[i]/ratio[i] for i in range(n)] k = min(ks) print(min(k * sum(ratio), vol)) ```
output
1
62,671
9
125,343
Provide tags and a correct Python 3 solution for this coding contest problem. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should also improve his algebra skills. According to ...
instruction
0
62,672
9
125,344
Tags: greedy, implementation Correct Solution: ``` n,v=map(int,input().split()) a=list(map(int,input().split())) b=list(map(int,input().split())) w=[int(x) for x in range(n)] for i in range(n): w[i]=float(b[i]/a[i]) w.sort() print(min(w[0]*sum(a),v)) ```
output
1
62,672
9
125,345
Provide tags and a correct Python 3 solution for this coding contest problem. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should also improve his algebra skills. According to ...
instruction
0
62,673
9
125,346
Tags: greedy, implementation Correct Solution: ``` I=lambda:map(int,input().split()) n,v=map(int,input().split()) a,b,q=[*I()],[*I()],0 import math for i in a:q=math.gcd(q,i) for i in range(n):a[i]//=q;b[i]=b[i]/a[i] print(min(min(b)*sum(a),v)) ```
output
1
62,673
9
125,347
Provide tags and a correct Python 3 solution for this coding contest problem. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should also improve his algebra skills. According to ...
instruction
0
62,674
9
125,348
Tags: greedy, implementation Correct Solution: ``` ''' 15.07.2021 CF 041 A ''' s = (input ()).split () n = int (s [0]) v = int (s [1]) s = (input ()).split () a = [0]*n sa = 0 for i in range (n) : a [i] = int (s [i]) sa += a [i] s = (input ()).split () b = [0]*n ok = 1 for i in range...
output
1
62,674
9
125,349
Provide tags and a correct Python 3 solution for this coding contest problem. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should also improve his algebra skills. According to ...
instruction
0
62,675
9
125,350
Tags: greedy, implementation Correct Solution: ``` n, capacity = map(int, input().split()) proportions = list(map(int, input().split())) ingredients = list(map(int, input().split())) best_volume = 0 for i, ingredientA in enumerate(ingredients): proportionA = proportions[i] volume = 0 feasible = True #print('i...
output
1
62,675
9
125,351
Provide tags and a correct Python 3 solution for this coding contest problem. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should also improve his algebra skills. According to ...
instruction
0
62,676
9
125,352
Tags: greedy, implementation Correct Solution: ``` n, V = map(int, input().split()) a = list(map(int, input().split())) b = list(map(int, input().split())) d = min(b[i] / a[i] for i in range(n)) print(min(V, d * sum(a))) ```
output
1
62,676
9
125,353
Provide tags and a correct Python 3 solution for this coding contest problem. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should also improve his algebra skills. According to ...
instruction
0
62,677
9
125,354
Tags: greedy, implementation Correct Solution: ``` n, V = input().split() n, V = int(n), int(V) a = list(map(int, input().split())) b = list(map(int, input().split())) ratio = 100000 for i in range(n): ratio = min(ratio, b[i]/a[i]) suma = 0 for i in range(n): suma += ratio * a[i] print(min(V, suma)) ```
output
1
62,677
9
125,355
Provide tags and a correct Python 3 solution for this coding contest problem. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should also improve his algebra skills. According to ...
instruction
0
62,678
9
125,356
Tags: greedy, implementation Correct Solution: ``` n, V = map(int, input().split()) a = list(map(int, input().split())) b = list(map(int, input().split())) Sa=sum(a) m = min(b) res = 0 for i in range(n): cur_r = 0 for j in range(n): if(b[j]>=a[j]*b[i]/a[i]): cur_r += a[j]*b[i]/a[i] e...
output
1
62,678
9
125,357
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should ...
instruction
0
62,679
9
125,358
Yes
output
1
62,679
9
125,359
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should ...
instruction
0
62,680
9
125,360
Yes
output
1
62,680
9
125,361
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should ...
instruction
0
62,681
9
125,362
Yes
output
1
62,681
9
125,363
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should ...
instruction
0
62,682
9
125,364
Yes
output
1
62,682
9
125,365
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should ...
instruction
0
62,683
9
125,366
No
output
1
62,683
9
125,367
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should ...
instruction
0
62,684
9
125,368
No
output
1
62,684
9
125,369
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should ...
instruction
0
62,685
9
125,370
No
output
1
62,685
9
125,371
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should ...
instruction
0
62,686
9
125,372
No
output
1
62,686
9
125,373
Provide tags and a correct Python 3 solution for this coding contest problem. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry and began to eat each other. One monster can ea...
instruction
0
62,781
9
125,562
Tags: constructive algorithms, dp, greedy, two pointers Correct Solution: ``` head = 0 result = "" def maxIndexes(list): result = [] max = -1 for x in list: if x > max: max = x for i in range(len(list)): if (list[i] == max): result.append(i + 1) return result def neighborsMax(a): indexes = maxIndexes(...
output
1
62,781
9
125,563
Provide tags and a correct Python 3 solution for this coding contest problem. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry and began to eat each other. One monster can ea...
instruction
0
62,782
9
125,564
Tags: constructive algorithms, dp, greedy, two pointers Correct Solution: ``` def update(target,threshold): global track check = [0]*len(a) s = 0 for i in range(len(a)): s+=a[i] if s == target: break if s!=target: return False if a[i]==target: a.p...
output
1
62,782
9
125,565
Provide tags and a correct Python 3 solution for this coding contest problem. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry and began to eat each other. One monster can ea...
instruction
0
62,783
9
125,566
Tags: constructive algorithms, dp, greedy, two pointers Correct Solution: ``` n = int(input()) a = list(map(int, input().split())) k = int(input()) b = list(map(int, input().split())) possible = True i = 0 j = 0 sub_b = b.copy() start_index_last_prefix = 0 max_on_prefix = a[start_index_last_prefix] first_max_on_pr...
output
1
62,783
9
125,567
Provide tags and a correct Python 3 solution for this coding contest problem. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry and began to eat each other. One monster can ea...
instruction
0
62,784
9
125,568
Tags: constructive algorithms, dp, greedy, two pointers Correct Solution: ``` import sys input = sys.stdin.readline n = int(input()) a = [int(i) for i in input().split()] m = int(input()) b = [int(i) for i in input().split()] j = n-1 ans = [] for k in range(m-1, -1, -1): sm = 0 i = j while i >= 0: ...
output
1
62,784
9
125,569
Provide tags and a correct Python 3 solution for this coding contest problem. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry and began to eat each other. One monster can ea...
instruction
0
62,785
9
125,570
Tags: constructive algorithms, dp, greedy, two pointers Correct Solution: ``` def main(): def helper(i): if l[i] > l[i - 1]: res.append("%d L" % (i + j)) i -= 1 elif l[i] > l[i + 1]: res.append("%d R" % (i + j)) else: return l[i] += l.p...
output
1
62,785
9
125,571
Provide tags and a correct Python 3 solution for this coding contest problem. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry and began to eat each other. One monster can ea...
instruction
0
62,786
9
125,572
Tags: constructive algorithms, dp, greedy, two pointers Correct Solution: ``` n = int(input()) init = list(map(int, input().split())) k = int(input()) after = list(map(int, input().split())) prev, cur, t = -1, 0, 0 ans = [] if sum(init) != sum(after): print("NO") exit() for i in range(n): t += init[i] ...
output
1
62,786
9
125,573
Provide tags and a correct Python 3 solution for this coding contest problem. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry and began to eat each other. One monster can ea...
instruction
0
62,787
9
125,574
Tags: constructive algorithms, dp, greedy, two pointers Correct Solution: ``` #!/usr/bin/env python3 import sys class Node(object): def __init__(self, v, n, p, idx): self.next = n self.prev = p self.value = v self.idx = idx def remove_next(self): if self.next == None: ...
output
1
62,787
9
125,575
Provide tags and a correct Python 3 solution for this coding contest problem. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry and began to eat each other. One monster can ea...
instruction
0
62,788
9
125,576
Tags: constructive algorithms, dp, greedy, two pointers Correct Solution: ``` import timeit def inp(): return list(map(int, input().split())) def a(): return timeit.default_timer() def main(): n = int(input()) A = inp() m = int(input()) B = inp() D=0 F=[] j=0 k=0 for i in r...
output
1
62,788
9
125,577
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry an...
instruction
0
62,789
9
125,578
Yes
output
1
62,789
9
125,579
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry an...
instruction
0
62,790
9
125,580
Yes
output
1
62,790
9
125,581
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry an...
instruction
0
62,791
9
125,582
Yes
output
1
62,791
9
125,583
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry an...
instruction
0
62,792
9
125,584
Yes
output
1
62,792
9
125,585
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry an...
instruction
0
62,793
9
125,586
No
output
1
62,793
9
125,587
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry an...
instruction
0
62,794
9
125,588
No
output
1
62,794
9
125,589
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry an...
instruction
0
62,795
9
125,590
No
output
1
62,795
9
125,591
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There was an epidemic in Monstropolis and all monsters became sick. To recover, all monsters lined up in queue for an appointment to the only doctor in the city. Soon, monsters became hungry an...
instruction
0
62,796
9
125,592
No
output
1
62,796
9
125,593
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. — I... I survived. — Welcome home, Chtholly. — I kept my promise... — I made it... I really made it! After several days of fighting, Chtholly Nota Seniorious miraculously returned from the f...
instruction
0
62,841
9
125,682
No
output
1
62,841
9
125,683
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. — I... I survived. — Welcome home, Chtholly. — I kept my promise... — I made it... I really made it! After several days of fighting, Chtholly Nota Seniorious miraculously returned from the f...
instruction
0
62,842
9
125,684
No
output
1
62,842
9
125,685
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. — I... I survived. — Welcome home, Chtholly. — I kept my promise... — I made it... I really made it! After several days of fighting, Chtholly Nota Seniorious miraculously returned from the f...
instruction
0
62,843
9
125,686
No
output
1
62,843
9
125,687
Provide a correct Python 3 solution for this coding contest problem. There are N children, numbered 1, 2, \ldots, N. They have decided to share K candies among themselves. Here, for each i (1 \leq i \leq N), Child i must receive between 0 and a_i candies (inclusive). Also, no candies should be left over. Find the nu...
instruction
0
62,934
9
125,868
"Correct Solution: ``` mod = 10 ** 9 + 7 N, K, *A = map(int, open(0).read().split()) dp = [1] + [0] * (K + 1) for a in A: for i in range(1, K + 1): dp[i] += dp[i - 1] for i in reversed(range(1, K + 1)): dp[i] -= dp[max(0, i - a) - 1] dp[i] %= mod print(dp[K]) ```
output
1
62,934
9
125,869
Provide a correct Python 3 solution for this coding contest problem. There are N children, numbered 1, 2, \ldots, N. They have decided to share K candies among themselves. Here, for each i (1 \leq i \leq N), Child i must receive between 0 and a_i candies (inclusive). Also, no candies should be left over. Find the nu...
instruction
0
62,935
9
125,870
"Correct Solution: ``` import sys sys.setrecursionlimit(10 ** 6) input = sys.stdin.readline int1 = lambda x: int(x) - 1 p2D = lambda x: print(*x, sep="\n") def main(): md = 10 ** 9 + 7 n, k = map(int, input().split()) aa = list(map(int, input().split())) dp = [[0] * (k + 1) for _ in range(n + 1)] ...
output
1
62,935
9
125,871
Provide a correct Python 3 solution for this coding contest problem. There are N children, numbered 1, 2, \ldots, N. They have decided to share K candies among themselves. Here, for each i (1 \leq i \leq N), Child i must receive between 0 and a_i candies (inclusive). Also, no candies should be left over. Find the nu...
instruction
0
62,936
9
125,872
"Correct Solution: ``` n,k = map(int,input().split()) candies = list(map(int,input().split())) dp = [0] * (k+1) minimo = [1] * (k+2) mod = 1e9 + 7 dp[0] = 1 minimo[0] = 0 for i in range(1, n + 1): soma = [0] * (k+2) for j in range(k+1): dp[j] = (minimo[j+1] - minimo[max(0, j - min(k,candies[i-1]))...
output
1
62,936
9
125,873
Provide a correct Python 3 solution for this coding contest problem. There are N children, numbered 1, 2, \ldots, N. They have decided to share K candies among themselves. Here, for each i (1 \leq i \leq N), Child i must receive between 0 and a_i candies (inclusive). Also, no candies should be left over. Find the nu...
instruction
0
62,937
9
125,874
"Correct Solution: ``` n, k = map(int, input().split()) a = list(map(int, input().split())) mod = 10**9 + 7 dp = [[0] * (k+1) for _ in range(n)] for j in range(a[0] + 1): dp[0][j] = 1 for i in range(1, n): for j in range(k + 1): if j == 0: dp[i][j] = 1 else: dp[i][j] =...
output
1
62,937
9
125,875
Provide a correct Python 3 solution for this coding contest problem. There are N children, numbered 1, 2, \ldots, N. They have decided to share K candies among themselves. Here, for each i (1 \leq i \leq N), Child i must receive between 0 and a_i candies (inclusive). Also, no candies should be left over. Find the nu...
instruction
0
62,938
9
125,876
"Correct Solution: ``` from itertools import accumulate def solve(): MOD = 10**9 + 7 N, K = map(int, input().split()) As = list(map(int, input().split())) dp = [0] * (K+1) dp[0] = 1 for A in As: dp = list(accumulate(dp)) for j, d in enumerate(dp[:K-A], start=A+1): ...
output
1
62,938
9
125,877
Provide a correct Python 3 solution for this coding contest problem. There are N children, numbered 1, 2, \ldots, N. They have decided to share K candies among themselves. Here, for each i (1 \leq i \leq N), Child i must receive between 0 and a_i candies (inclusive). Also, no candies should be left over. Find the nu...
instruction
0
62,939
9
125,878
"Correct Solution: ``` large_p = 10**9 + 7 from itertools import accumulate from itertools import chain def main(): n, k = map(int, input().split()) a = tuple(map(int, input().split())) dp = [[0] * (k+1) for _ in range(n+1)] dp[0][0] = 1 for i1 in range(n): accum = tuple(chain([0], accumulat...
output
1
62,939
9
125,879
Provide a correct Python 3 solution for this coding contest problem. There are N children, numbered 1, 2, \ldots, N. They have decided to share K candies among themselves. Here, for each i (1 \leq i \leq N), Child i must receive between 0 and a_i candies (inclusive). Also, no candies should be left over. Find the nu...
instruction
0
62,940
9
125,880
"Correct Solution: ``` # coding: utf-8 # Your code here! MOD=10**9+7 n,k = [int(i) for i in input().split()] aa = [int(i) for i in input().split()] dp=[0]*(2*k+1) dp[0]=1 for a in aa: l=k-a s=sum(dp[l:k+1])%MOD for i in range(k,-1,-1): # print(s,i,l) s-=dp[i] s%=MOD dp[i] +=...
output
1
62,940
9
125,881