Datasets:

problem_id
stringlengths
6
6
buggy_code
stringlengths
8
526k
fixed_code
stringlengths
12
526k
labels
listlengths
0
15
buggy_submission_id
int64
1
1.54M
fixed_submission_id
int64
2
1.54M
user_id
stringlengths
10
10
language
stringclasses
8 values
p02780
n, k = map(int,input().split()) p = list(map(int, input().split())) val = 0 for i in range(k): val += p[i] point = k-1 cnt = val for i in range(k,n): cnt += p[i] - p[i-k] if cnt > val: val = cnt point = i-k+1 #print(point) ans = 0 for i in range(k): ans += (p[point] + 1) / 2 point += 1 print(ans)
n, k = map(int,input().split()) p = list(map(int, input().split())) val = 0 for i in range(k): val += p[i] point = 0 cnt = val for i in range(k,n): cnt = cnt + p[i] - p[i-k] if cnt > val: val = cnt point = i-k+1 #print(point) ans = 0 for i in range(k): ans += (p[point] + 1) / 2 point += 1 print(ans)
[ "assignment.value.change", "identifier.replace.remove", "literal.replace.add", "expression.operation.binary.change", "expression.operation.binary.remove" ]
581,088
581,089
u361381049
python
p02780
import numpy as np n,k = map(int(input().split())) p = np.array(list(map(int, input().split()))) m = (p+1)/2 s = sum(m[:k]) r = s for i in range(n-k): s -= m[i] s += m[i+k] r = max(r,s) print(r)
import numpy as np n,k = map(int, input().split()) p = np.array(list(map(int, input().split()))) m = (p+1)/2 s = sum(m[:k]) r = s for i in range(n-k): s -= m[i] s += m[i+k] r = max(r,s) print(r)
[ "assignment.value.change", "call.arguments.change" ]
581,103
581,104
u864989756
python
p02780
n,k=map(int,input().split()) p=list(map(int,input().split())) #q=[x-1 for x in p] ans=0 s=sum(p[:k]) for i in range(n-k): s=s+p[k+i]-p[i] ans=max(ans,s) print(ans/2+k/2)
n,k=map(int,input().split()) p=list(map(int,input().split())) s=sum(p[:k]) ans=s for i in range(n-k): s=s+p[k+i]-p[i] ans=max(ans,s) print(ans/2+k/2)
[ "assignment.remove", "assignment.add" ]
581,127
581,128
u762540523
python
p02780
N, K = map(int, input().split()) p = list(map(int, input().split())) S = [0]*(N+1) for i in range(N): S[i+1] = S[i] + (1+p[i])/2 print(S) ans = 0 for i in range(N-K+1): diff = S[i+K] - S[i] ans = max(ans, diff) print(ans)
N, K = map(int, input().split()) p = list(map(int, input().split())) S = [0]*(N+1) for i in range(N): S[i+1] = S[i] + (1+p[i])/2 ans = 0 for i in range(N-K+1): diff = S[i+K] - S[i] ans = max(ans, diff) print(ans)
[ "call.remove" ]
581,136
581,137
u273010357
python
p02780
n,k,*p=map(int,open(0).read().split()) s=m=k for i in range(k,n):s+=p[i]-p[i-k]*(i>=k);m=max(m,s) print(m/2)
n,k,*p=map(int,open(0).read().split()) s=m=k for i in range(n):s+=p[i]-p[i-k]*(i>=k);m=max(m,s) print(m/2)
[ "call.arguments.change" ]
581,154
581,155
u729133443
python
p02780
n,k,*p=map(int,open(0).read().split()) s=m=sum(p[:k]) for i in range(k,n):s+=p[i]-p[i-k];m=max(m,s) print((s+k)/2)
n,k,*p=map(int,open(0).read().split()) s=m=sum(p[:k]) for i in range(k,n):s+=p[i]-p[i-k];m=max(m,s) print((m+k)/2)
[ "identifier.change", "call.arguments.change", "expression.operation.binary.change", "io.output.change" ]
581,157
581,158
u729133443
python
p02780
n,k,*p=map(int,open(0).read().split()) p+=0, for i in range(n):p[i]-=~p[i-1] print(max(p[i+k]-p[i-1]for i in range(n-k))/2)
n,k,*p=map(int,open(0).read().split()) p+=0, for i in range(n):p[i]-=~p[i-1] print(max(p[i+k]-p[i]for i in range(-1,n-k))/2)
[ "expression.operation.binary.remove", "call.arguments.add" ]
581,160
581,161
u729133443
python
p02780
N,K = map(int,input().split()) ps = list(map(int,input().split())) dicesSum=[] l1=ps[0:K] dicesSum.append(sum(l1)) if K==N: exp= (K+ dicesSum[0])/2 print(exp) else: for i in range(1,N-K+1): dicesSum.append(dicesSum[i-1]-ps[i-1]+ps[i+K-1]) print(dicesSum) max_value = max(dicesSum) exp= (K+ max_value)/2 print(exp)
N,K = map(int,input().split()) ps = list(map(int,input().split())) dicesSum=[] l1=ps[0:K] dicesSum.append(sum(l1)) if K==N: exp= (K+ dicesSum[0])/2 print(exp) else: for i in range(1,N-K+1): dicesSum.append(dicesSum[i-1]-ps[i-1]+ps[i+K-1]) max_value = max(dicesSum) exp= (K+ max_value)/2 print(exp)
[ "call.remove" ]
581,166
581,167
u971719367
python
p02780
N,K = map(int,input().split()) ps = list(map(int,input().split())) dicesSum=[] l1=ps[0:K] dicesSum.append(sum(l1)) if K==1: exp= (1+ dicesSum[0])/2 print(exp) else: for i in range(1,N-K): dicesSum.append(dicesSum[i-1]-ps[i-1]+ps[i+K-1]) max_value = max(dicesSum) exp= (K+ max_value)/2 print(exp)
N,K = map(int,input().split()) ps = list(map(int,input().split())) dicesSum=[] l1=ps[0:K] dicesSum.append(sum(l1)) if K==N: exp= (K+ dicesSum[0])/2 print(exp) else: for i in range(1,N-K+1): dicesSum.append(dicesSum[i-1]-ps[i-1]+ps[i+K-1]) max_value = max(dicesSum) exp= (K+ max_value)/2 print(exp)
[ "identifier.replace.add", "literal.replace.remove", "control_flow.branch.if.condition.change", "assignment.value.change", "expression.operation.binary.change" ]
581,168
581,167
u971719367
python
p02780
import numpy as np N, K = map(int, input().split()) x = np.array(list(map(float, input().split()))) for i in range(N): x[i] = (1 + x[i]) / 2 ans = 0 data = np.sum(x[:K]) for i in range(N-K): data = data + x[i+K] - x[i] if data > ans: ans = data print(ans)
import numpy as np N, K = map(int, input().split()) x = np.array(list(map(float, input().split()))) for i in range(N): x[i] = (1 + x[i]) / 2 data = np.sum(x[:K]) ans = data for i in range(N-K): data = data + x[i+K] - x[i] if data > ans: ans = data print(ans)
[ "assignment.remove", "assignment.add" ]
581,183
581,184
u370217787
python
p02780
import sys, re, os from collections import deque, defaultdict, Counter from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians from itertools import permutations, combinations, product, accumulate from operator import itemgetter, mul from copy import deepcopy from string import ascii_lowercase, ascii_uppercase, digits from math import gcd def input(): return sys.stdin.readline().strip() def INT(): return int(input()) def MAP(): return map(int, input().split()) def S_MAP(): return map(str, input().split()) def LIST(): return list(map(int, input().split())) def S_LIST(): return list(map(str, input().split())) sys.setrecursionlimit(10 ** 9) INF = float('inf') mod = 10 ** 9 + 7 n, k = MAP() p = LIST() def kitai(a): tmp = 0 # for a in A: tmp = 1/a * (1/2 * a * (a+1)) return tmp acc = [0] * n # それぞれの期待値を先に求めて,それから和を求める for i in range(n): acc[i] = (p[i] + 1) / 2 ruiseki = [0] * n ruiseki[0] = acc[i] for i in range(n-1): ruiseki[i+1] = ruiseki[i] + acc[i+1] # print(acc) # print(ruiseki) # acc = list(accumulate([0]+acc)) ans = 0 ruiseki.insert(0, 0) ans = 0 for i in range(n-k+1): m = ruiseki[k+i] - ruiseki[i] ans = max(ans, m) print(ans) # if i == 0: # ruiseki[k] # else: # ruiseki[k+i] - ruiseki[i] # ans = max(ans, acc[i+k]-acc[i])
import sys, re, os from collections import deque, defaultdict, Counter from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians from itertools import permutations, combinations, product, accumulate from operator import itemgetter, mul from copy import deepcopy from string import ascii_lowercase, ascii_uppercase, digits from math import gcd def input(): return sys.stdin.readline().strip() def INT(): return int(input()) def MAP(): return map(int, input().split()) def S_MAP(): return map(str, input().split()) def LIST(): return list(map(int, input().split())) def S_LIST(): return list(map(str, input().split())) sys.setrecursionlimit(10 ** 9) INF = float('inf') mod = 10 ** 9 + 7 n, k = MAP() p = LIST() def kitai(a): tmp = 0 # for a in A: tmp = 1/a * (1/2 * a * (a+1)) return tmp acc = [0] * n # それぞれの期待値を先に求めて,それから和を求める for i in range(n): acc[i] = (p[i] + 1) / 2 ruiseki = [0] * n ruiseki[0] = acc[0] for i in range(n-1): ruiseki[i+1] = ruiseki[i] + acc[i+1] ruiseki.insert(0, 0) # print(ruiseki) ans = 0 for i in range(n-k+1): m = ruiseki[k+i] - ruiseki[i] # print(m) ans = max(ans, m) print(ans) # if i == 0: # ruiseki[k] # else: # ruiseki[k+i] - ruiseki[i] # ans = max(ans, acc[i+k]-acc[i])
[ "assignment.value.change", "identifier.replace.remove", "literal.replace.add", "variable_access.subscript.index.change" ]
581,193
581,194
u083960235
python
p02780
def main(): from itertools import accumulate import sys read = sys.stdin.buffer.read N, K, *p = map(int, read().split()) p = [0] + list(accumulate(p)) print((max(y - x for x, y in zip(p, p[K:])) + K) / 2) if __name__ == '__main__': print(main())
def main(): from itertools import accumulate import sys read = sys.stdin.buffer.read N, K, *p = map(int, read().split()) p = [0] + list(accumulate(p)) print((max(y - x for x, y in zip(p, p[K:])) + K) / 2) if __name__ == '__main__': main()
[ "call.remove", "call.arguments.change" ]
581,203
581,204
u607729897
python
p02780
from itertools import accumulate n,k = map(int,input().split()) P = list(map(int,input().split())) # 期待値の前計算 expP = [(P[i]+1)/2 for i in range(n)] # 累積和の計算 acc = [0]+ list(+accumulate(expP)) # 0を忘れずに print(acc) # 隣接する K 項の和の計算 ans = 0 for i in range(n-k+1): ans = max(ans,acc[i+k]-acc[i]) print(ans)
from itertools import accumulate n,k = map(int,input().split()) P = list(map(int,input().split())) # 期待値の前計算 expP = [(P[i]+1)/2 for i in range(n)] # 累積和の計算 acc = [0]+ list(accumulate(expP)) # 0を忘れずに # 隣接する K 項の和の計算 ans = 0 for i in range(n-k+1): ans = max(ans,acc[i+k]-acc[i]) print(ans)
[ "expression.operation.unary.arithmetic.remove", "call.arguments.change", "call.remove" ]
581,205
581,206
u202727309
python
p02780
nk = list(map(int,input().split())) p = list(map(int,input().split())) ans = [0] * (nk[0] + nk[1]) zeros = [0] * nk[1] seq4search = zeros + p for i in range(nk[1], nk[0] + nk[1]): seq4search[i] = (seq4search[i] + 1) / 2 ans[i] = ans[i-1] + seq4search[i] - seq4search[i - k] print(max(ans))
nk = list(map(int,input().split())) p = list(map(int,input().split())) ans = [0] * (nk[0] + nk[1]) zeros = [0] * nk[1] seq4search = zeros + p for i in range(nk[1], nk[0] + nk[1]): seq4search[i] = (seq4search[i] + 1) / 2 ans[i] = ans[i-1] + seq4search[i] - seq4search[i - nk[1]] print(max(ans))
[ "assignment.value.change", "variable_access.subscript.index.change", "expression.operation.binary.change" ]
581,207
581,208
u882696550
python
p02780
nk = list(map(int,input().split())) p = list(map(int,input().split())) ans = [0] * (nk[0] + nk[1]) zeros = [0] * nk[1] seq4search = zeros + p for i in range(nk[1] + 1, nk[0] + nk[1]): seq4search[i] = (seq4search[i] + 1) / 2 ans[i] = ans[i-1] + seq4search[i] - seq4search[i - k] print(max(ans))
nk = list(map(int,input().split())) p = list(map(int,input().split())) ans = [0] * (nk[0] + nk[1]) zeros = [0] * nk[1] seq4search = zeros + p for i in range(nk[1], nk[0] + nk[1]): seq4search[i] = (seq4search[i] + 1) / 2 ans[i] = ans[i-1] + seq4search[i] - seq4search[i - nk[1]] print(max(ans))
[ "expression.operation.binary.remove", "assignment.value.change", "variable_access.subscript.index.change", "expression.operation.binary.change" ]
581,209
581,208
u882696550
python
p02780
n, k = map(int, input().split()) l = list(map(int, input().split())) tmp = l[:k] now = tmp for i in range(n-k): tmp -= l[i] tmp += l[i+k] now = max(tmp, now) print((now + k) / 2)
n, k = map(int, input().split()) l = list(map(int, input().split())) tmp = sum(l[:k]) now = tmp for i in range(n-k): tmp -= l[i] tmp += l[i+k] now = max(tmp, now) print((now + k) / 2)
[ "call.add", "call.arguments.change" ]
581,222
581,223
u055875839
python
p02780
n, k = map(int, input().split()) l = list(map(int, input().split())) tmp = l[:k] now = tmp for i in range(n-k+1): tmp -= l[i] tmp += l[i+k] now = max(tmp, now) print((now + k) / 2)
n, k = map(int, input().split()) l = list(map(int, input().split())) tmp = sum(l[:k]) now = tmp for i in range(n-k): tmp -= l[i] tmp += l[i+k] now = max(tmp, now) print((now + k) / 2)
[ "call.add", "call.arguments.change", "expression.operation.binary.remove" ]
581,224
581,223
u055875839
python
p02780
N, K = map(int, input().split()) p = list(map(int, input().split())) now = sum(p[:K]) saidai = now for i in range(K, N): now -= p[i-K] now += p[i+K] if now > saidai: saidai = now print('{:.12f}'.format((saidai + K)/2))
N, K = map(int, input().split()) p = list(map(int, input().split())) now = sum(p[:K]) saidai = now for i in range(K, N): now -= p[i-K] now += p[i] if now > saidai: saidai = now print('{:.12f}'.format((saidai + K)/2))
[ "expression.operation.binary.remove" ]
581,225
581,226
u096983897
python
p02780
a, b = map(int, input().split()) num_list = list(map(int, input().split())) k_sum = sum(num_list[0:b]) max_sum = k_sum for i, j in zip(num_list[0:], num_list[k:]): k_sum -= i k_sum += j max_sum = max(max_sum, k_sum) out = (max_sum + b) / 2 print(out)
a, b = map(int, input().split()) num_list = list(map(int, input().split())) k_sum = sum(num_list[0:b]) max_sum = k_sum for i, j in zip(num_list[0:], num_list[b:]): k_sum -= i k_sum += j max_sum = max(max_sum, k_sum) out = (max_sum + b) / 2 print(out)
[ "identifier.change", "variable_access.subscript.index.change", "call.arguments.change" ]
581,240
581,241
u078982327
python
p02780
from itertools import accumulate N, K = map(int, input().split()) A = list(map(int, input().split())) expected = [(a+1)/2 for a in A] accum_expected = list(accumulate(expected)) accum_expected.insert(0, 0) ans = 0 for i in range(K, N-K+1): ans = max(ans, accum_expected[i]-accum_expected[i-K]) print(ans)
from itertools import accumulate N, K = map(int, input().split()) A = list(map(int, input().split())) expected = [(a+1)/2 for a in A] accum_expected = list(accumulate(expected)) accum_expected.insert(0, 0) ans = 0 for i in range(K, N+1): ans = max(ans, accum_expected[i]-accum_expected[i-K]) print(ans)
[ "expression.operation.binary.remove" ]
581,242
581,243
u746849814
python
p02780
def main(): def CalExVal(x): return (1/2*(x+1)) N, K = map(int, input().split()) A = list(map(int, input().split())) Ex = list((map(CalExVal, A))) #temp = len(A)-K + 1 #adjlist = [0]*(temp) #adjlist = [sum(list(map(CalExVal, A))[i:(K+i)]) for i in range(temp)] tem = sum(Ex[:K]) res = tem for i in range(0,N-K): adj = tem - Ex[i] + Ex[i+K] if res < adj: res = adj print(res) if __name__ == '__main__': main()
def main(): def CalExVal(x): return (1/2*(x+1)) N, K = map(int, input().split()) A = list(map(int, input().split())) Ex = list((map(CalExVal, A))) #temp = len(A)-K + 1 #adjlist = [0]*(temp) #adjlist = [sum(list(map(CalExVal, A))[i:(K+i)]) for i in range(temp)] tem = sum(Ex[:K]) res = tem for i in range(0,N-K): tem = tem - Ex[i] + Ex[i+K] if res < tem: res = tem print(res) if __name__ == '__main__': main()
[ "assignment.variable.change", "identifier.change", "control_flow.branch.if.condition.change", "assignment.value.change" ]
581,248
581,249
u841924362
python
p02780
raw = input() N, K = raw.split(' ') N = int(N) K = int(K) str_li = input().split(' ') num_li = list(map(int, str_li)) sum_li = [0] for i in num_li: sum_li.append(sum_li[-1] + i + 1) ans = 0 for index in range(K, N): ans_tmp = sum_li[index] - sum_li[index - K] if ans_tmp > ans: ans = ans_tmp print(ans/2)
raw = input() N, K = raw.split(' ') N = int(N) K = int(K) str_li = input().split(' ') num_li = list(map(int, str_li)) sum_li = [0] for i in num_li: sum_li.append(sum_li[-1] + i + 1) ans = 0 for index in range(K, N+1): ans_tmp = sum_li[index] - sum_li[index - K] if ans_tmp > ans: ans = ans_tmp print(ans/2)
[ "control_flow.loop.range.bounds.upper.change", "expression.operation.binary.add" ]
581,252
581,253
u064136529
python
p02780
# sys.stdin.readline() import sys input = sys.stdin.readline def main(): n,k = map(int,input().split()) l=list(map(int,input().split())) l2 = [(1+i)/2 for i in l] kitai=sum(l2[0:k]) tmp = kitai for idx in range(n)[:n - k + 1]: tmp -= l2[idx] tmp += l2[idx+k] if (kitai < tmp): kitai = tmp print(kitai) main()
# sys.stdin.readline() import sys input = sys.stdin.readline def main(): n,k = map(int,input().split()) l=list(map(int,input().split())) l2 = [(1+i)/2 for i in l] kitai=sum(l2[0:k]) tmp = kitai for idx in range(n)[:n - k]: tmp -= l2[idx] tmp += l2[idx+k] if (kitai < tmp): kitai = tmp print(kitai) main()
[ "expression.operation.binary.remove" ]
581,267
581,268
u820284192
python
p02781
N = input() K = int(input()) m = len(N) dp = [[[0] * (K+1) for _ in range(2)] for _ in range(m+1)] dp[0][0][0] = 1 for i in range(1,m+1): l = int(N[i-1]) for k in range(K+1): if k-1>0: if l!=0: dp[i][0][k]=dp[i-1][0][k-1] dp[i][1][k] = dp[i-1][1][k] + 9 * dp[i-1][1][k-1]+dp[i-1][0][k] + (l-1) * dp[i-1][0][k-1] else: dp[i][0][k] = dp[i-1][0][k] dp[i][1][k] = dp[i-1][1][k] + 9 * dp[i-1][1][k-1] else: dp[i][0][k] = 0 dp[i][1][k] = 1 print(dp[m][0][K] + dp[m][1][K])
N = input() K = int(input()) m = len(N) dp = [[[0] * (K+1) for _ in range(2)] for _ in range(m+1)] dp[0][0][0] = 1 for i in range(1,m+1): l = int(N[i-1]) for k in range(K+1): if k-1>=0: if l!=0: dp[i][0][k]=dp[i-1][0][k-1] dp[i][1][k] = dp[i-1][1][k] + 9 * dp[i-1][1][k-1]+dp[i-1][0][k] + (l-1) * dp[i-1][0][k-1] else: dp[i][0][k] = dp[i-1][0][k] dp[i][1][k] = dp[i-1][1][k] + 9 * dp[i-1][1][k-1] else: dp[i][0][k] = 0 dp[i][1][k] = 1 print(dp[m][0][K] + dp[m][1][K])
[ "expression.operator.compare.change", "control_flow.branch.if.condition.change" ]
581,314
581,315
u434872492
python
p02781
import sys sys.setrecursionlimit(100) n = input() k = int(input()) m = {} def doit(n, k): if len(n) == 0: return k == 0 d = int(n[0]) if (n, k) not in m: ret = 0 for i in range(d + 1): if i == d: ret += doit(n[1:], k - 1 if i > 0 else k) else: ret += doit('9' * (len(n) - 1), k - 1 if i > 0 else k) m[(n, k)] = ret return m[(n, k)] print(doit(n, k))
import sys sys.setrecursionlimit(10000) n = input() k = int(input()) m = {} def doit(n, k): if len(n) == 0: return k == 0 d = int(n[0]) if (n, k) not in m: ret = 0 for i in range(d + 1): if i == d: ret += doit(n[1:], k - 1 if i > 0 else k) else: ret += doit('9' * (len(n) - 1), k - 1 if i > 0 else k) m[(n, k)] = ret return m[(n, k)] print(doit(n, k))
[ "literal.number.integer.change", "call.arguments.change" ]
581,321
581,322
u971632623
python
p02781
from sys import stdin import sys import math from functools import reduce import functools import itertools from collections import deque,Counter,defaultdict from operator import mul import copy # ! /usr/bin/env python # -*- coding: utf-8 -*- import heapq sys.setrecursionlimit(10**6) # INF = float("inf") INF = 10**18 import bisect import statistics mod = 10**9+7 # mod = 998244353 N = input() K = int(input()) dp = [[[0]*(K+2) for j in range(2)] for i in range(len(N) + 1)] dp[0][1][0] = 1 for i in range(len(N)): for k in range(K+1): dp[i+1][0][k] += dp[i][0][k] dp[i+1][0][k+1] += dp[i][0][k]*9 if N[i] != 0: dp[i+1][0][k] += dp[i][1][k] dp[i+1][0][k+1] += dp[i][1][k]*(int(N[i])-1) dp[i+1][1][k+1] += dp[i][1][k] else: dp[i+1][1][k] += dp[i][1][k] print(dp[-1][0][K] + dp[-1][1][K])
from sys import stdin import sys import math from functools import reduce import functools import itertools from collections import deque,Counter,defaultdict from operator import mul import copy # ! /usr/bin/env python # -*- coding: utf-8 -*- import heapq sys.setrecursionlimit(10**6) # INF = float("inf") INF = 10**18 import bisect import statistics mod = 10**9+7 # mod = 998244353 N = input() K = int(input()) dp = [[[0]*(K+2) for j in range(2)] for i in range(len(N) + 1)] dp[0][1][0] = 1 for i in range(len(N)): for k in range(K+1): dp[i+1][0][k] += dp[i][0][k] dp[i+1][0][k+1] += dp[i][0][k]*9 if N[i] != "0": dp[i+1][0][k] += dp[i][1][k] dp[i+1][0][k+1] += dp[i][1][k]*(int(N[i])-1) dp[i+1][1][k+1] += dp[i][1][k] else: dp[i+1][1][k] += dp[i][1][k] print(dp[-1][0][K] + dp[-1][1][K])
[ "control_flow.branch.if.condition.change" ]
581,327
581,328
u788260274
python
p02781
def resolve(): N = list(input()) lenN = len(N) K = int(input()) dp = [[[None, None] for _ in range(K+1)] for __ in range(lenN)] def rec(i, k, smaller): if k==0: return 1 if i>=lenN: return 0 if dp[i][k][int(smaller)] is not None: return dp[i][k][int(smaller)] ret = 0 if smaller: ret += rec(i+1, k, True) ret += rec(i+1, k-1, True) * 9 else: if N[i] == "0": ret += rec(i+1, k, True) else: ret += rec(i+1, k, True) # 次も0を選ぶ ret += rec(i+1, k-1, True) * (int(N[i]) - 1) # 0 < ?? < N[i] ret += rec(i+1, k-1, False) # N[i]を選ぶ、真にsmallerとは限らないのでまだFalse dp[i][k][int(smaller)] = ret return ret print(rec(0, K, False)) if __name__ == "__main__": resolve()
def resolve(): N = list(input()) lenN = len(N) K = int(input()) dp = [[[None, None] for _ in range(K+1)] for __ in range(lenN)] def rec(i, k, smaller): if k==0: return 1 if i>=lenN: return 0 if dp[i][k][int(smaller)] is not None: return dp[i][k][int(smaller)] ret = 0 if smaller: ret += rec(i+1, k, True) ret += rec(i+1, k-1, True) * 9 else: if N[i] == "0": ret += rec(i+1, k, False) else: ret += rec(i+1, k, True) # 次も0を選ぶ ret += rec(i+1, k-1, True) * (int(N[i]) - 1) # 0 < ?? < N[i] ret += rec(i+1, k-1, False) # N[i]を選ぶ、真にsmallerとは限らないのでまだFalse dp[i][k][int(smaller)] = ret return ret print(rec(0, K, False)) if __name__ == "__main__": resolve()
[ "misc.opposites", "call.arguments.change" ]
581,347
581,348
u106797249
python
p02781
N = input() K = int(input()) dp = [[[0] * (K + 1) for _ in range(2)] for _ in range(len(N) + 1)] dp[0][0][0] = 1 for i in range(len(N)): n = int(N[i]) for j in range(2): for k in range(K + 1): for d in range((9 if j == 1 else n) + 1): if k + int(d != 0) <= K: dp[i + 1][j | (d < n)][k + int(d != 0)] += dp[i][j][k] cnt = len(N) - N.count("0") print(dp[-1][-1][-1] + int(cnt <= K))
N = input() K = int(input()) dp = [[[0] * (K + 1) for _ in range(2)] for _ in range(len(N) + 1)] dp[0][0][0] = 1 for i in range(len(N)): n = int(N[i]) for j in range(2): for k in range(K + 1): for d in range((9 if j == 1 else n) + 1): if k + int(d != 0) <= K: dp[i + 1][j | (d < n)][k + int(d != 0)] += dp[i][j][k] cnt = len(N) - N.count("0") print(dp[-1][-1][-1] + int(cnt == K))
[ "expression.operator.compare.change", "call.arguments.change", "expression.operation.binary.change", "io.output.change" ]
581,353
581,354
u057109575
python
p02781
N = input() K = int(input()) if len(N) < K: print(0) exit() ans = [1, int(N[-1]), 0, 0]; nine = [1, 9, 81, 729] def combination(N,K): if N < K: return 0 elif K == 0: return 0 elif K == 1: return N elif K == 2: return N*(N-1)//2 else: return N*(N-1)*(N-2)//6 for k in range(1, len(N)): if int(N[-k-1]) > 0: a = [1, 0, 0, 0] for j in range(1, K+1): a[j] += nine[j]*combination(k, j) a[j] += (int(N[-k-1])-1)*combination(k, j-1)*nine[j-1] + ans[j-1] ans = a print(ans[K])
N = input() K = int(input()) if len(N) < K: print(0) exit() ans = [1, int(N[-1]), 0, 0]; nine = [1, 9, 81, 729] def combination(N,K): if N < K: return 0 elif K == 0: return 1 elif K == 1: return N elif K == 2: return N*(N-1)//2 else: return N*(N-1)*(N-2)//6 for k in range(1, len(N)): if int(N[-k-1]) > 0: a = [1, 0, 0, 0] for j in range(1, K+1): a[j] += nine[j]*combination(k, j) a[j] += (int(N[-k-1])-1)*combination(k, j-1)*nine[j-1] + ans[j-1] ans = a print(ans[K])
[ "literal.number.integer.change", "function.return_value.change" ]
581,365
581,366
u627600101
python
p02781
N = input() K = int(input()) if len(N) < K: print(0) exit() ans = [1, int(N[-1]), 0, 0]; nine = [1, 9, 81, 729] def combination(N,K): if N < K: return 0 elif K == 0: return 0 elif K == 1: return N elif K == 2: return N*(N-1)//2 else: return N*(N-1)*(N-3)//6 for k in range(1, len(N)): if int(N[-k-1]) > 0: a = [1, 0, 0, 0] for j in range(1, K+1): a[j] += nine[j]*combination(k, j) a[j] += (int(N[-k-1])-1)*combination(k, j-1)*nine[j-1] + ans[j-1] ans = a print(ans[K])
N = input() K = int(input()) if len(N) < K: print(0) exit() ans = [1, int(N[-1]), 0, 0]; nine = [1, 9, 81, 729] def combination(N,K): if N < K: return 0 elif K == 0: return 1 elif K == 1: return N elif K == 2: return N*(N-1)//2 else: return N*(N-1)*(N-2)//6 for k in range(1, len(N)): if int(N[-k-1]) > 0: a = [1, 0, 0, 0] for j in range(1, K+1): a[j] += nine[j]*combination(k, j) a[j] += (int(N[-k-1])-1)*combination(k, j-1)*nine[j-1] + ans[j-1] ans = a print(ans[K])
[ "literal.number.integer.change", "function.return_value.change", "expression.operation.binary.change" ]
581,367
581,366
u627600101
python
p02781
N = input() K = int(input()) if int(N) < K: print(0) exit() keta = [] for k in range(len(N)): keta.append(int(N[-k-1])) ans = [1, keta[0], 0, 0]; def combination(N,K): if N < K: return 0 else: p = 1 for k in range(K): p *= N N -= 1 for k in range(1, K+1): p //= k return p for k in range(1, len(N)-1): if keta[k] > 0: a = [1, 0, 0, 0] for j in range(1, 4): a[j] += (9**(j))*combination(k, j) a[j] += (keta[k]-1)*combination(k, j-1)*(9**(j-1)) + ans[j-1] ans = [] + a answer = (9**(K))*combination(len(N)-1, K) answer += (keta[-1]-1)*(9**(K-1))*combination(len(N)-1, K-1) answer += ans[K-1] print(answer)
N = input() K = int(input()) if len(N) < K: print(0) exit() keta = [] for k in range(len(N)): keta.append(int(N[-k-1])) ans = [1, keta[0], 0, 0]; def combination(N,K): if N < K: return 0 else: p = 1 for k in range(K): p *= N N -= 1 for k in range(1, K+1): p //= k return p for k in range(1, len(N)-1): if keta[k] > 0: a = [1, 0, 0, 0] for j in range(1, 4): a[j] += (9**(j))*combination(k, j) a[j] += (keta[k]-1)*combination(k, j-1)*(9**(j-1)) + ans[j-1] ans = [] + a answer = (9**(K))*combination(len(N)-1, K) answer += (keta[-1]-1)*(9**(K-1))*combination(len(N)-1, K-1) answer += ans[K-1] print(answer)
[ "identifier.change", "call.function.change", "control_flow.branch.if.condition.change" ]
581,368
581,369
u627600101
python
p02781
import sys sys.setrecursionlimit(10**6) read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines MOD = 10**9+7 N = int(readline()) K = int(readline()) @lru_cache(None) def f(N,K): if K == -1: return 0 if N < 10: if K == 0: return 1 elif K == 1: return N else: return 0 ans = 0 q, mod = divmod(N, 10) ans += f(q,K) + mod * f(q,K-1) + (9-mod) * f(q-1,K-1) return ans print(f(N,K))
import sys from functools import lru_cache sys.setrecursionlimit(10**6) read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines MOD = 10**9+7 N = int(readline()) K = int(readline()) @lru_cache(None) def f(N,K): if K == -1: return 0 if N < 10: if K == 0: return 1 elif K == 1: return N else: return 0 ans = 0 q, mod = divmod(N, 10) ans += f(q,K) + mod * f(q,K-1) + (9-mod) * f(q-1,K-1) return ans print(f(N,K))
[]
581,385
581,386
u515740713
python
p02781
n = int(input()) k = int(input()) ans = 0 def k1(n): str1_n = str(n) keta1 = len(str1_n) cnt = 9 * (keta1 - 1) + int(str1_n[0]) return cnt def k2(n): str2_n = str(n) keta2 = len(str2_n) cnt = 81 * (keta2 - 1) * (keta2 - 2) // 2 cnt += (int(str2_n[0]) - 1) * k1(10 ** (keta2 - 1) - 1) cnt += k1(n - (int(str2_n[0]) * 10 ** (keta2 - 1))) return cnt def k3(n): # なんか違う str3_n = str(n) keta3 = len(str3_n) t = 0 for i in range(keta3-3): t += (i+1)*i//2 cnt = 729 * t cnt += (int(str3_n[0]) - 1) * k2(10 ** (keta3 - 1) - 1) cnt += k2(n - (int(str3_n[0]) * 10 ** (keta3 - 1))) return cnt if k == 1: ans = k1(n) if k == 2: ans = k2(n) if k == 3: ans = k3(n) print(ans)
n = int(input()) k = int(input()) ans = 0 def k1(n): str1_n = str(n) keta1 = len(str1_n) cnt = 9 * (keta1 - 1) + int(str1_n[0]) return cnt def k2(n): str2_n = str(n) keta2 = len(str2_n) cnt = 81 * (keta2 - 1) * (keta2 - 2) // 2 cnt += (int(str2_n[0]) - 1) * k1(10 ** (keta2 - 1) - 1) cnt += k1(n - (int(str2_n[0]) * 10 ** (keta2 - 1))) return cnt def k3(n): str3_n = str(n) keta3 = len(str3_n) t = 0 for i in range(keta3-2): t += (i+1)*i//2 cnt = 729 * t cnt += (int(str3_n[0]) - 1) * k2(10 ** (keta3 - 1) - 1) cnt += k2(n - (int(str3_n[0]) * 10 ** (keta3 - 1))) return cnt if k == 1: ans = k1(n) if k == 2: ans = k2(n) if k == 3: ans = k3(n) print(ans)
[ "literal.number.integer.change", "call.arguments.change", "expression.operation.binary.change", "control_flow.loop.range.bounds.upper.change" ]
581,394
581,395
u222668979
python
p02781
import functools N = int(input()) K = int(input()) @functools.lru_cache(user_function) def func(num,counter): remain = num%10 quotient = num//10 if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
import functools N = int(input()) K = int(input()) @functools.lru_cache(None) def func(num,counter): remain = num%10 quotient = num//10 if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
[ "call.arguments.change" ]
581,421
581,422
u772029934
python
p02781
import functiontool N = int(input()) K = int(input()) @functools.lru_cache(user_function) def func(num,counter): remain = num%10 quotient = num//10 if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
import functools N = int(input()) K = int(input()) @functools.lru_cache(None) def func(num,counter): remain = num%10 quotient = num//10 if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
[ "identifier.change", "call.arguments.change" ]
581,423
581,422
u772029934
python
p02781
import functools N = int(input()) K = int(input()) @functools.lru_cache(user_function) def func(num,counter): remain = num%10 quotient = num//10 if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
import functools N = int(input()) K = int(input()) @functools.lru_cache() def func(num,counter): remain = num%10 quotient = num//10 if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
[ "call.arguments.change" ]
581,421
581,425
u772029934
python
p02781
import functiontool N = int(input()) K = int(input()) @functools.lru_cache(user_function) def func(num,counter): remain = num%10 quotient = num//10 if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
import functools N = int(input()) K = int(input()) @functools.lru_cache() def func(num,counter): remain = num%10 quotient = num//10 if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
[ "identifier.change", "call.arguments.change" ]
581,423
581,425
u772029934
python
p02781
N = int(input()) K = int(input()) @lru_cache def func(num,counter): remain = num%10 quotient = num//10 if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
import functools N = int(input()) K = int(input()) @functools.lru_cache() def func(num,counter): remain = num%10 quotient = num//10 if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
[ "call.add" ]
581,426
581,425
u772029934
python
p02781
N = int(input()) K = int(input()) def func(num,counter): remain = num%10 quotient = num//10 print(num,counter) if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
N = int(input()) K = int(input()) def func(num,counter): remain = num%10 quotient = num//10 if counter == 0: return 1 if num<10: if counter ==1: return num else: return 0 return func(quotient,counter-1)*remain + func(quotient-1,counter-1)*(9-remain) + func(quotient,counter) print(func(N,K))
[ "call.remove" ]
581,427
581,428
u772029934
python
p02781
def main(): import sys input = sys.stdin.readline N = list(map(int, list(input()[:-1]))) K = int(input()) L = len(N) # dp[i][j][k] # i 桁目まで決めて # j 個の非0を使って # k = 0 : そこまでの桁はNと一致 # k = 1 : そこまでの桁でN未満であることが確定 dp = [[[0] * 2 for _ in range(K + 2)] for _ in range(L + 1)] dp[0][0][0] = 1 from pprint import pprint for i, x in enumerate(N): for k in range(K + 1): # 桁ごと数え上げ if x == 0: # x == 0 dp[i + 1][k][0] += dp[i][k][0] else: # x == 0 dp[i + 1][k][1] = dp[i][k][0] # 0 < n < x dp[i + 1][k + 1][1] += dp[i][k][0] * (x - 1) # n == x dp[i + 1][k + 1][0] += dp[i][k][0] # N未満で次の桁に1~9を入れる dp[i + 1][k + 1][1] += dp[i][k][1] * 9 # N未満で次の桁に0を入れる dp[i + 1][k][1] += dp[i][k][1] print(sum(dp[L][K])) if __name__ == '__main__': main()
def main(): import sys input = sys.stdin.readline N = list(map(int, list(input()[:-1]))) K = int(input()) L = len(N) # dp[i][j][k] # i 桁目まで決めて # j 個の非0を使って # k = 0 : そこまでの桁はNと一致 # k = 1 : そこまでの桁でN未満であることが確定 dp = [[[0] * 2 for _ in range(K + 2)] for _ in range(L + 1)] dp[0][0][0] = 1 for i, x in enumerate(N): for k in range(K + 1): # 桁ごと数え上げ if x == 0: # x == 0 dp[i + 1][k][0] += dp[i][k][0] else: # x == 0 dp[i + 1][k][1] += dp[i][k][0] # 0 < n < x dp[i + 1][k + 1][1] += dp[i][k][0] * (x - 1) # n == x dp[i + 1][k + 1][0] += dp[i][k][0] # N未満で次の桁に1~9を入れる dp[i + 1][k + 1][1] += dp[i][k][1] * 9 # N未満で次の桁に0を入れる dp[i + 1][k][1] += dp[i][k][1] print(sum(dp[L][K])) if __name__ == '__main__': main()
[ "assignment.value.change" ]
581,436
581,437
u111473084
python
p02781
def main(): import sys input = sys.stdin.readline N = list(map(int, list(input()[:-1]))) K = int(input()) L = len(N) # dp[i][j][k] # i 桁目まで決めて # j 個の非0を使って # k = 0 : そこまでの桁はNと一致 # k = 1 : そこまでの桁でN未満であることが確定 dp = [[[0] * 2 for _ in range(K + 2)] for _ in range(L + 1)] dp[0][0][0] = 1 from pprint import pprint for i, x in enumerate(N): for k in range(K + 1): # 桁ごと数え上げ if x == 0: # x == 0 dp[i + 1][k][0] += dp[i][k][0] else: # x == 0 dp[i + 1][k][1] = dp[i][k][0] # 0 < n < x dp[i + 1][k + 1][1] += dp[i][k][0] * (x - 1) # n == x dp[i + 1][k + 1][0] += dp[i][k][0] # N未満で次の桁に1~9を入れる dp[i + 1][k + 1][1] += dp[i][k][1] * 9 # N未満で次の桁に0を入れる dp[i + 1][k][1] += dp[i][k][1] print(sum(dp[L][K])) if __name__ == '__main__': main()
def main(): import sys input = sys.stdin.readline N = list(map(int, list(input()[:-1]))) K = int(input()) L = len(N) # dp[i][j][k] # i 桁目まで決めて # j 個の非0を使って # k = 0 : そこまでの桁はNと一致 # k = 1 : そこまでの桁でN未満であることが確定 dp = [[[0] * 2 for _ in range(K + 2)] for _ in range(L + 1)] dp[0][0][0] = 1 from pprint import pprint for i, x in enumerate(N): for k in range(K + 1): # 桁ごと数え上げ if x == 0: # x == 0 dp[i + 1][k][0] += dp[i][k][0] else: # x == 0 dp[i + 1][k][1] += dp[i][k][0] # 0 < n < x dp[i + 1][k + 1][1] += dp[i][k][0] * (x - 1) # n == x dp[i + 1][k + 1][0] += dp[i][k][0] # N未満で次の桁に1~9を入れる dp[i + 1][k + 1][1] += dp[i][k][1] * 9 # N未満で次の桁に0を入れる dp[i + 1][k][1] += dp[i][k][1] print(sum(dp[L][K])) if __name__ == '__main__': main()
[ "assignment.value.change" ]
581,436
581,438
u111473084
python
p02781
def main(): NOT_DET = 0 SMALLER = 1 s = input() n = len(s) # 桁数 k = int(input()) dp = [[[0] * 2 for _ in range(k + 1)] for _ in range(n + 1)] # dp[上から何桁決めたか][0でない数字の個数][smaller=1] dp[0][0][0] = 1 for i, ci in enumerate(s): for j in range(k + 1): dp[i + 1][j][SMALLER] = ( dp[i][j][SMALLER] + dp[i][j][NOT_DET] * (1 if ci != '0' else 0) + (dp[i][j - 1][SMALLER] if j > 0 else 0) * 9 + (dp[i][j - 1][NOT_DET] if j > 0 else 0) * (int(ci) - 1) ) dp[i + 1][j][NOT_DET] = dp[i][j][NOT_DET] if ci == '0' else ( dp[i][j - 1][NOT_DET] if j > 0 else 0) print(sum(dp[n][k])) if __name__ == '__main__': main() # import sys # # sys.setrecursionlimit(10 ** 7) # # input = sys.stdin.readline # rstrip() # int(input()) # map(int, input().split())
def main(): NOT_DET = 0 SMALLER = 1 s = input() n = len(s) # 桁数 k = int(input()) dp = [[[0] * 2 for _ in range(k + 1)] for _ in range(n + 1)] # dp[上から何桁決めたか][0でない数字の個数][smaller=1] dp[0][0][0] = 1 for i, ci in enumerate(s): for j in range(k + 1): dp[i + 1][j][SMALLER] = ( dp[i][j][SMALLER] + dp[i][j][NOT_DET] * (1 if ci != '0' else 0) + (dp[i][j - 1][SMALLER] if j > 0 else 0) * 9 + (dp[i][j - 1][NOT_DET] if j > 0 else 0) * max(0, int(ci) - 1) ) dp[i + 1][j][NOT_DET] = dp[i][j][NOT_DET] if ci == '0' else ( dp[i][j - 1][NOT_DET] if j > 0 else 0) print(sum(dp[n][k])) if __name__ == '__main__': main() # import sys # # sys.setrecursionlimit(10 ** 7) # # input = sys.stdin.readline # rstrip() # int(input()) # map(int, input().split())
[ "call.add", "call.arguments.add" ]
581,444
581,445
u562935282
python
p02781
n = str(input()) k = int(input()) dp = [[[0] * (k+1) for i in range(2)] for j in range(len(n)+1)] dp[0][0][0] = 1 for i in range(len(n)): for j in range(k+1): if n[i] == "0": dp[i+1][0][j] = dp[i][0][j] dp[i+1][1][j] = dp[i][1][j] if j > 0: dp[i+1][1][j] += dp[i][1][j-1]*9 else: dp[i+1][1][j] = dp[i][0][j] + dp[i][1][j] if j > 0: dp[i+1][0][j] = dp[i][0][j-1] dp[i+1][1][j] += dp[i][1][j-1] * (int(n[i])-1) + dp[i][1][j-1] * 9 # print(dp) print(dp[-1][0][k] + dp[-1][1][k])
n = str(input()) k = int(input()) dp = [[[0] * (k+1) for i in range(2)] for j in range(len(n)+1)] dp[0][0][0] = 1 for i in range(len(n)): for j in range(k+1): if n[i] == "0": dp[i+1][0][j] = dp[i][0][j] dp[i+1][1][j] = dp[i][1][j] if j > 0: dp[i+1][1][j] += dp[i][1][j-1]*9 else: dp[i+1][1][j] = dp[i][0][j] + dp[i][1][j] if j > 0: dp[i+1][0][j] = dp[i][0][j-1] dp[i+1][1][j] += dp[i][0][j-1] * (int(n[i])-1) + dp[i][1][j-1] * 9 # print(dp) print(dp[-1][0][k] + dp[-1][1][k])
[ "expression.operation.binary.change" ]
581,446
581,447
u667024514
python
p02781
from functools import lru_cache N = input() K = int(input()) @lru_cache(maxsize=None) def search(d, cnt, isEq): if d == len(N): return 1 if cnt == K else 0 n = int(N[d]) if isEq and n == '0': return search(d + 1, cnt, isEq) if isEq: ret = 0 ret += search(d + 1, cnt, False) for _ in range(1, n): ret += search(d + 1, cnt + 1, False) ret += search(d + 1, cnt + 1, True) return ret return search(d + 1, cnt, False) + search(d + 1, cnt + 1, False) * 9 print(search(0, 0, True))
from functools import lru_cache N = input() K = int(input()) @lru_cache(maxsize=None) def search(d, cnt, isEq): if d == len(N): return 1 if cnt == K else 0 n = int(N[d]) if isEq and n == 0: return search(d + 1, cnt, isEq) if isEq: ret = 0 ret += search(d + 1, cnt, False) for _ in range(1, n): ret += search(d + 1, cnt + 1, False) ret += search(d + 1, cnt + 1, True) return ret return search(d + 1, cnt, False) + search(d + 1, cnt + 1, False) * 9 print(search(0, 0, True))
[ "control_flow.branch.if.condition.change" ]
581,462
581,463
u392319141
python
p02781
import math import numpy as np import queue from collections import deque import heapq def cmb(n,r): c = 1 for i in range(r): c *= (n-i) for i in range(r): c //= (i+1) return c n = input() k = int(input()) ln = len(n) ans = 1 nn0 = 0 for i in range(ln): if int(n[i]) > 0: ans += cmb(ln-i-1,k-nn0)*(9**(k-nn0)) nn0 += 1 ans += (int(n[i])-1)*cmb(ln-i-1,k-nn0)*(9**(k-nn0)) if nn0 == k: break print(ans)
import math import numpy as np import queue from collections import deque import heapq def cmb(n,r): c = 1 for i in range(r): c *= (n-i) for i in range(r): c //= (i+1) return c n = input() k = int(input()) ln = len(n) ans = 0 nn0 = 0 for i in range(ln): if int(n[i]) > 0: ans += cmb(ln-i-1,k-nn0)*(9**(k-nn0)) nn0 += 1 ans += (int(n[i])-1)*cmb(ln-i-1,k-nn0)*(9**(k-nn0)) if nn0 == k: ans += 1 break print(ans)
[ "literal.number.integer.change", "assignment.value.change" ]
581,466
581,467
u169350228
python
p02781
n_str = input() # 3*** k = int(input()) dp1 = [[0] * (k + 2) for _ in range(len(n_str) + 1)] dp2 = [[0] * (k + 2) for _ in range(len(n_str) + 1)] # dp1[i][j] : 上から i 桁はnと一致していて、0でない数が j 個現れているような数 # dp2[i][j] : 上から i 桁が既にnより小さく、0でない数が j 個現れているような数 dp1[0][0] = 1 # dp2[0][1] = int(n_str[0]) - 1 # dp2[0][0] = 1 for i in range(len(n_str)): for j in range(k + 1): if n_str[i] != '0': dp1[i + 1][j + 1] += dp1[i][j] dp2[i + 1][j + 1] += dp1[i][j] * (int(n_str[i]) - 1) dp2[i + 1][j + 1] += dp2[i][j] * 9 dp2[i + 1][j] += dp1[i][j] dp2[i + 1][j] += dp2[i][j] else: print(i, j) dp1[i + 1][j] += dp1[i][j] dp2[i + 1][j + 1] += dp2[i][j] * 9 dp2[i + 1][j] += dp2[i][j] # print(*dp1, sep='\n') # print(*dp2, sep='\n') ans = dp1[len(n_str)][k] + dp2[len(n_str)][k] print(ans)
n_str = input() # 3*** k = int(input()) dp1 = [[0] * (k + 2) for _ in range(len(n_str) + 1)] dp2 = [[0] * (k + 2) for _ in range(len(n_str) + 1)] # dp1[i][j] : 上から i 桁はnと一致していて、0でない数が j 個現れているような数 # dp2[i][j] : 上から i 桁が既にnより小さく、0でない数が j 個現れているような数 dp1[0][0] = 1 # dp2[0][1] = int(n_str[0]) - 1 # dp2[0][0] = 1 for i in range(len(n_str)): for j in range(k + 1): if n_str[i] != '0': dp1[i + 1][j + 1] += dp1[i][j] dp2[i + 1][j + 1] += dp1[i][j] * (int(n_str[i]) - 1) dp2[i + 1][j + 1] += dp2[i][j] * 9 dp2[i + 1][j] += dp1[i][j] dp2[i + 1][j] += dp2[i][j] else: dp1[i + 1][j] += dp1[i][j] dp2[i + 1][j + 1] += dp2[i][j] * 9 dp2[i + 1][j] += dp2[i][j] # print(*dp1, sep='\n') # print(*dp2, sep='\n') ans = dp1[len(n_str)][k] + dp2[len(n_str)][k] print(ans)
[ "call.remove" ]
581,492
581,493
u533039576
python
p02781
def solve(n,k) : if n <= 9 and k == 1 : return n elif n <= 9 and k >= 2 : return 0 elif k == 0: return 0 else : m = n //10 r = n % 10 return r * solve(m,k-1) + (9 - r) * solve(m-1,k-1) + solve(m,k) n = int(input()) k = int(input()) print(solve(n,k))
def solve(n,k) : if n <= 9 and k == 1 : return n elif n <= 9 and k >= 2 : return 0 elif k == 0: return 1 else : m = n //10 r = n % 10 return r * solve(m,k-1) + (9 - r) * solve(m-1,k-1) + solve(m,k) n = int(input()) k = int(input()) print(solve(n,k))
[ "literal.number.integer.change", "function.return_value.change" ]
581,496
581,497
u645487439
python
p02781
n = input() k = input() nl = len(n) dp = [[[0]*(k+1) for _ in range(2)]for _ in range(nl+1)] #dp[i][j][k] i:上からの桁数、j:smaller flag、k:0以外の数字の個数 dp[0][0][0] = 1 for i in range(nl): for j in range(2): for l in range(k+1): c = int(n[i]) if j == 1: dp[i+1][j][l] += dp[i][j][l] if l < k: dp[i+1][j][l+1] += dp[i][j][l]*9 else: if c == 0:#0しか選べない上にsmallを確定できない dp[i+1][0][l] += dp[i][j][l] else: dp[i+1][1][l] += dp[i][j][l]#cより確実に小さい0を使う。small確定 if l < k: dp[i+1][1][l+1] += dp[i][j][l]*(c-1) #c以下の数字を使えばsmall確定 dp[i+1][0][l+1] += dp[i][j][l] #cを使ったらsmall確定できない print(dp[nl][0][k]+dp[nl][1][k])
n = input() k = int(input()) nl = len(n) dp = [[[0]*(k+1) for _ in range(2)]for _ in range(nl+1)] #dp[i][j][k] i:上からの桁数、j:smaller flag、k:0以外の数字の個数 dp[0][0][0] = 1 for i in range(nl): for j in range(2): for l in range(k+1): c = int(n[i]) if j == 1: dp[i+1][j][l] += dp[i][j][l] if l < k: dp[i+1][j][l+1] += dp[i][j][l]*9 else: if c == 0:#0しか選べない上にsmallを確定できない dp[i+1][0][l] += dp[i][j][l] else: dp[i+1][1][l] += dp[i][j][l]#cより確実に小さい0を使う。small確定 if l < k: dp[i+1][1][l+1] += dp[i][j][l]*(c-1) #c以下の数字を使えばsmall確定 dp[i+1][0][l+1] += dp[i][j][l] #cを使ったらsmall確定できない print(dp[nl][0][k]+dp[nl][1][k])
[ "call.add", "call.arguments.change" ]
581,531
581,532
u977141657
python
p02781
# coding: utf-8 import re import math import itertools from copy import deepcopy import fractions import random from functools import lru_cache from heapq import heappop,heappush import time import sys readline = sys.stdin.readline sys.setrecursionlimit(2000) #import numpy as np alphabet="abcdefghijklmnopqrstuvwxyz" mod=int(10**9+7) inf=int(10**20) def yn(b): if b: print("yes") else: print("no") def Yn(b): if b: print("Yes") else: print("No") def YN(b): if b: print("YES") else: print("NO") class union_find(): def __init__(self,n): self.n=n self.P=[a for a in range(N)] self.rank=[0]*n def find(self,x): if(x!=self.P[x]):self.P[x]=self.find(self.P[x]) return self.P[x] def same(self,x,y): return self.find(x)==self.find(y) def link(self,x,y): if self.rank[x]<self.rank[y]: self.P[x]=y elif self.rank[y]<self.rank[x]: self.P[y]=x else: self.P[x]=y self.rank[y]+=1 def unite(self,x,y): self.link(self.find(x),self.find(y)) def size(self): S=set() for a in range(self.n): S.add(self.find(a)) return len(S) def bin_(num,size): A=[0]*size for a in range(size): if (num>>(size-a-1))&1==1: A[a]=1 else: A[a]=0 return A def fac_list(n,mod_=0): A=[1]*(n+1) for a in range(2,len(A)): A[a]=A[a-1]*a if(mod>0):A[a]%=mod_ return A def comb(n,r,mod,fac): if(n-r<0):return 0 return (fac[n]*pow(fac[n-r],mod-2,mod)*pow(fac[r],mod-2,mod))%mod def next_comb(num,size): x=num&(-num) y=num+x z=num&(~y) z//=x z=z>>1 num=(y|z) if(num>=(1<<size)):return False else: return num def get_primes(n,type="int"): A=[True]*(n+1) A[0]=False A[1]=False for a in range(2,n+1): if A[a]: for b in range(a*2,n+1,a): A[b]=False if(type=="bool"):return A B=[] for a in range(n+1): if(A[a]):B.append(a) return B def is_prime(num): if(num<=2):return False i=2 while i*i<=num: if(num%i==0):return False i+=1 return True def join(A,c=" "): n=len(A) A=list(map(str,A)) s="" for a in range(n): s+=A[a] if(a<n-1):s+=c return s #main @lru_cache(maxsize=None)#メモ化デコレータ def f(num,k): if(num==0 and k==0):return 1 elif(num<=0 or k<=0):return 0 else: r=num-(num//10)*10 m=num//10 return f(m,k-1)*r+f(m-1,k-1)*(10-r)+f(m,k) s=int(input()) k=int(input()) print(f(s,k))
# coding: utf-8 import re import math import itertools from copy import deepcopy import fractions import random from functools import lru_cache from heapq import heappop,heappush import time import sys readline = sys.stdin.readline sys.setrecursionlimit(2000) #import numpy as np alphabet="abcdefghijklmnopqrstuvwxyz" mod=int(10**9+7) inf=int(10**20) def yn(b): if b: print("yes") else: print("no") def Yn(b): if b: print("Yes") else: print("No") def YN(b): if b: print("YES") else: print("NO") class union_find(): def __init__(self,n): self.n=n self.P=[a for a in range(N)] self.rank=[0]*n def find(self,x): if(x!=self.P[x]):self.P[x]=self.find(self.P[x]) return self.P[x] def same(self,x,y): return self.find(x)==self.find(y) def link(self,x,y): if self.rank[x]<self.rank[y]: self.P[x]=y elif self.rank[y]<self.rank[x]: self.P[y]=x else: self.P[x]=y self.rank[y]+=1 def unite(self,x,y): self.link(self.find(x),self.find(y)) def size(self): S=set() for a in range(self.n): S.add(self.find(a)) return len(S) def bin_(num,size): A=[0]*size for a in range(size): if (num>>(size-a-1))&1==1: A[a]=1 else: A[a]=0 return A def fac_list(n,mod_=0): A=[1]*(n+1) for a in range(2,len(A)): A[a]=A[a-1]*a if(mod>0):A[a]%=mod_ return A def comb(n,r,mod,fac): if(n-r<0):return 0 return (fac[n]*pow(fac[n-r],mod-2,mod)*pow(fac[r],mod-2,mod))%mod def next_comb(num,size): x=num&(-num) y=num+x z=num&(~y) z//=x z=z>>1 num=(y|z) if(num>=(1<<size)):return False else: return num def get_primes(n,type="int"): A=[True]*(n+1) A[0]=False A[1]=False for a in range(2,n+1): if A[a]: for b in range(a*2,n+1,a): A[b]=False if(type=="bool"):return A B=[] for a in range(n+1): if(A[a]):B.append(a) return B def is_prime(num): if(num<=2):return False i=2 while i*i<=num: if(num%i==0):return False i+=1 return True def join(A,c=" "): n=len(A) A=list(map(str,A)) s="" for a in range(n): s+=A[a] if(a<n-1):s+=c return s #main @lru_cache(maxsize=None)#メモ化デコレータ def f(num,k): if(num==0 and k==0):return 1 elif(num<=0 or k<0):return 0 else: r=num-(num//10)*10 m=num//10 return f(m,k-1)*r+f(m-1,k-1)*(9-r)+f(m,k) s=int(input()) k=int(input()) print(f(s,k))
[ "expression.operator.compare.change", "control_flow.branch.if.condition.change", "literal.number.integer.change", "function.return_value.change", "expression.operation.binary.change" ]
581,545
581,546
u902151549
python
p02781
N = [0] + list(map(int, input())) K = int(input()) n = len(N) DP = [ [[0] * (K+1) for _ in range(2)] for _ in range(n) ] # 0桁目(0)で最大値を取っていてk=0の要素は1個。 DP[0][0][0] = 1 for i in range(1, n): for k in range(K): if N[i] != 0: DP[i][0][k+1] += DP[i-1][0][k] DP[i][1][k] += DP[i-1][0][k] DP[i][1][k+1] += DP[i-1][0][k] * (N[i] - 1) else: DP[i][0][k] += DP[i-1][0][k] DP[i][1][k] += DP[i-1][1][k] DP[i][1][k+1] += DP[i-1][1][k] * 9 print(DP[n-1][1][K] + DP[n-1][0][K])
N = [0] + list(map(int, input())) K = int(input()) n = len(N) DP = [ [[0] * (K+2) for _ in range(2)] for _ in range(n) ] # 0桁目(0)で最大値を取っていてk=0の要素は1個。 DP[0][0][0] = 1 for i in range(1, n): for k in range(K+1): if N[i] != 0: DP[i][0][k+1] += DP[i-1][0][k] DP[i][1][k] += DP[i-1][0][k] DP[i][1][k+1] += DP[i-1][0][k] * (N[i] - 1) else: DP[i][0][k] += DP[i-1][0][k] DP[i][1][k] += DP[i-1][1][k] DP[i][1][k+1] += DP[i-1][1][k] * 9 print(DP[n-1][1][K] + DP[n-1][0][K])
[ "literal.number.integer.change", "assignment.value.change", "expression.operation.binary.change" ]
581,563
581,564
u875541136
python
p02781
import sys from math import factorial sr = lambda: sys.stdin.readline().rstrip() ir = lambda: int(sr()) lr = lambda: list(map(int, sr().split())) N = ir() K = ir() length = 0 for i in range(1, 100): if 10 ** i > N: length = i break answer = 0 def F(length, K, N): ret = 0 if length == 1: if K == 1: return N elif K == 0: return 1 else: return 0 if length < K: return 0 top = int(str(N)[0]) if length-K >= 1: ret += factorial(length-1) // factorial(K) // factorial(length-K-1) * 9 ** K # 一個前まで ret += factorial(length-1) // factorial(K-1) // factorial(length-K) * (top-1) * 9 ** (K-1) # 一桁目がtopより小さい数 if K > 1: # 一桁目がtopと同じ数 N = int(str(N)[1:]) length = 0 for i in range(1, 100): if 10 ** i > N: length = i break ret += F(length, K-1, N) else: ret += 1 # 2000のような数 return ret answer = F(length, K, N) print(answer)
import sys from math import factorial sr = lambda: sys.stdin.readline().rstrip() ir = lambda: int(sr()) lr = lambda: list(map(int, sr().split())) N = ir() K = ir() length = 0 for i in range(1, 102): if 10 ** i > N: length = i break answer = 0 def F(length, K, N): ret = 0 if length == 1: if K == 1: return N elif K == 0: return 1 else: return 0 if length < K: return 0 top = int(str(N)[0]) if length-K >= 1: ret += factorial(length-1) // factorial(K) // factorial(length-K-1) * 9 ** K # 一個前まで ret += factorial(length-1) // factorial(K-1) // factorial(length-K) * (top-1) * 9 ** (K-1) # 一桁目がtopより小さい数 if K > 1: # 一桁目がtopと同じ数 N = int(str(N)[1:]) length = 0 for i in range(1, 100): if 10 ** i > N: length = i break ret += F(length, K-1, N) else: ret += 1 # 2000のような数 return ret answer = F(length, K, N) print(answer)
[ "literal.number.integer.change", "call.arguments.change", "control_flow.loop.range.bounds.upper.change" ]
581,576
581,577
u600402037
python
p02781
N = int(input()) K = int(input()) #桁DP string = str(N) digits = len(string) #dp[i][j][k]=と同じ桁数の整数で上からi桁目までで0でない数字がj個あるものの個数 #k=0: i桁目まで見てN未満が確定, k=1: 未確定 dp = [[[0]*2 for _ in range(K+1)] for __ in range(digits+1)] #初期状態 dp1[0][0][1] = 1 for i in range(digits): d = int(string[i]) ni = i+1 for j in range(K+1): for k in range(2): for nd in range(10): nk = 1 if k == 1 and nd == d else 0 if k == 1 and nd > d: break nj = j + (1 if nd != 0 else 0) if nj > K: continue dp[ni][nj][nk] += dp[i][j][k] print(dp[digits][K][0] + dp[digits][K][1])
N=int(input()) K=int(input()) string = str(N) digits = len(string) #dp[i][j][k]=と同じ桁数の整数で上からi桁目までで0でない数字がj個あるものの個数 #k=0: i桁目まで見てN未満が確定, k=1: 未確定 dp = [[[0]*2 for _ in range(K+1)] for __ in range(digits+1)] #初期状態 dp[0][0][1] = 1 for i in range(digits): d = int(string[i]) ni = i+1 for j in range(K+1): for k in range(2): for nd in range(10): nk = 1 if k == 1 and nd == d else 0 if k == 1 and nd > d: break nj = j + (1 if nd != 0 else 0) if nj > K: continue dp[ni][nj][nk] += dp[i][j][k] print(dp[digits][K][0] + dp[digits][K][1])
[ "assignment.variable.change", "identifier.change" ]
581,590
581,591
u852690916
python
p02781
N = int(input()) K = int(input()) #桁DP string = str(N) digits = len(string) #dp[i][j][k]=と同じ桁数の整数で上からi桁目までで0でない数字がj個あるものの個数 #k=0: i桁目まで見てN未満が確定, k=1: 未確定 dp = [[[0]*2 for _ in range(K+1)] for __ in range(digits+1)] #初期状態 dp1[0][0][1] = 1 for i in range(digits): d = int(string[i]) ni = i+1 for j in range(K+1): for k in range(2): for nd in range(10): nk = 1 if k == 1 and nd == d else 0 if k == 1 and nd > d: break nj = j + (1 if nd != 0 else 0) if nj > K: continue dp[ni][nj][nk] += dp[i][j][k] print(dp[digits][K][0] + dp[digits][K][1])
N = int(input()) K = int(input()) #桁DP string = str(N) digits = len(string) #dp[i][j][k]=と同じ桁数の整数で上からi桁目までで0でない数字がj個あるものの個数 #k=0: i桁目まで見てN未満が確定, k=1: 未確定 dp = [[[0]*2 for _ in range(K+1)] for __ in range(digits+1)] #初期状態 dp[0][0][1] = 1 for i in range(digits): d = int(string[i]) ni = i+1 for j in range(K+1): for k in range(2): for nd in range(10): nk = 1 if k == 1 and nd == d else 0 if k == 1 and nd > d: break nj = j + (1 if nd != 0 else 0) if nj > K: continue dp[ni][nj][nk] += dp[i][j][k] print(dp[digits][K][0] + dp[digits][K][1])
[ "assignment.variable.change", "identifier.change" ]
581,590
581,592
u852690916
python
p02781
import sys def solve(): input = sys.stdin.readline N = int(input()) K = int(input()) if N <= 1000: count = 0 for i in range(1, N + 1): d = 0 ci = i while ci > 0: d += (1 if ci % 10 > 0 else 0) ci //= 10 if d == K: count += 1 else: strN = str(N) dig = len(strN) DPsmall = [[0 for j in range(K + 1)] for i in range(dig)] DPsmall[0][0] = 1 DPsmall[0][1] = int(strN[0]) - 1 for i in range(1, dig): DPsmall[i][0] = 1 for j in range(1, K + 1): DPsmall[i][j] += DPsmall[i-1][j-1] * 9 + DPsmall[i-1][j] DPlarge = [[0 for j in range(K + 1)] for i in range(dig)] #最初の桁がNの最初と一致 DPlarge[0][0] = 1 for i in range(1, dig): if strN[i] == "0": DPlarge[i][0] = DPlarge[i-1][0] else: DPlarge[i][0] = DPlarge[i-1][0] + 1 for j in range(1, K + 1): if DPlarge[i-1][0] == j - 1: DPlarge[i][j] += (int(strN[i]) - 1 if strN[i] != "0" else 0) if DPlarge[i-1][0] == j: DPlarge[i][j] += (1 if strN[i] != "0" else 0) DPlarge[i][j] += DPlarge[i-1][j] #i桁目が0 if j > 1: DPlarge[i][j] += DPlarge[i-1][j-1] * 9 #i桁目は0以上 ans = DPsmall[dig-1][K] + DPlarge[dig-1][K] if DPlarge[dig-1][0] == K: ans += 1 print(ans) #print(DPsmall) #print(DPlarge) return 0 if __name__ == "__main__": solve()
import sys def solve(): input = sys.stdin.readline N = int(input()) K = int(input()) if N <= 1000: count = 0 for i in range(1, N + 1): d = 0 ci = i while ci > 0: d += (1 if ci % 10 > 0 else 0) ci //= 10 if d == K: count += 1 print(count) else: strN = str(N) dig = len(strN) DPsmall = [[0 for j in range(K + 1)] for i in range(dig)] DPsmall[0][0] = 1 DPsmall[0][1] = int(strN[0]) - 1 for i in range(1, dig): DPsmall[i][0] = 1 for j in range(1, K + 1): DPsmall[i][j] += DPsmall[i-1][j-1] * 9 + DPsmall[i-1][j] DPlarge = [[0 for j in range(K + 1)] for i in range(dig)] #最初の桁がNの最初と一致 DPlarge[0][0] = 1 for i in range(1, dig): if strN[i] == "0": DPlarge[i][0] = DPlarge[i-1][0] else: DPlarge[i][0] = DPlarge[i-1][0] + 1 for j in range(1, K + 1): if DPlarge[i-1][0] == j - 1: DPlarge[i][j] += (int(strN[i]) - 1 if strN[i] != "0" else 0) if DPlarge[i-1][0] == j: DPlarge[i][j] += (1 if strN[i] != "0" else 0) DPlarge[i][j] += DPlarge[i-1][j] #i桁目が0 if j > 1: DPlarge[i][j] += DPlarge[i-1][j-1] * 9 #i桁目は0以上 ans = DPsmall[dig-1][K] + DPlarge[dig-1][K] if DPlarge[dig-1][0] == K: ans += 1 print(ans) #print(DPsmall) #print(DPlarge) return 0 if __name__ == "__main__": solve()
[ "call.add" ]
581,595
581,596
u608088992
python
p02781
n = input() k = int(input()) if len(n) <= k: cnt = 0 for i in range(1,int(n)+1): if len(str(i)) - str(i).count('0') == k: cnt += 1 print(cnt) exit() cnt = 0 l = len(n) def combi(n,k): ans = 1 if k == 0: return ans for i in range(k): ans = ans * (n-i) // (i+1) return ans flag = 0 for i in range(l): if flag > k: break if n[i] == '0': if i == l-1: cnt += 1 continue flag += 1 cnt += int(((int(n[i])-1)*9**(k-flag))*combi(l-i-1,k-flag) + 9**(k-flag+1)*combi(l-i-1,k-flag+1)) print(cnt)
n = input() k = int(input()) if len(n) <= k: cnt = 0 for i in range(1,int(n)+1): if len(str(i)) - str(i).count('0') == k: cnt += 1 print(cnt) exit() cnt = 0 l = len(n) def combi(n,k): ans = 1 if k == 0: return ans for i in range(k): ans = ans * (n-i) // (i+1) return ans flag = 0 for i in range(l): if flag > k: break if n[i] == '0': if i == l-1 and k == flag: cnt += 1 continue flag += 1 cnt += int(((int(n[i])-1)*9**(k-flag))*combi(l-i-1,k-flag) + 9**(k-flag+1)*combi(l-i-1,k-flag+1)) print(cnt)
[ "control_flow.branch.if.condition.change", "control_flow.loop.for.condition.change" ]
581,613
581,614
u145600939
python
p02781
def main(): s = [int(char) for char in input()] l = len(s) k = int(input()) tmp = 0 nonzero = [] for number in s: if number > 0: tmp += 1 nonzero.append(tmp) nonzero.append(0) # let nonzero[-1] be 0 def binomial(n, k): if n < k or n < 0 or k < 0: raise ValueError if k == 0: return 1 if k == 1: return n if k == 2: return n * (n-1) // 2 if k == 3: return n * (n-1) * (n-2) // 6 raise ValueError def dp(i, _cache={-1: 0}): if i in _cache: return _cache[i] if nonzero[i-1] > k or s[i] == 0: result = dp(i-1) _cache[i] = result return result if nonzero[i-1] == k: result = dp(i-1) + 1 _cache[i] = result return result result = ( dp(i-1) + (s[i] - 1) * binomial(l - 1 - i, k - nonzero[i-1] - 1) * 9 ** (k - nonzero[i-1] - 1) + binomial(l - 1 - i, k - nonzero[i-1]) * 9 ** (k - nonzero[i-1]) ) _cache[i] = result return result print(dp(l-1) + (nonzero[l-1] == k)) main()
def main(): s = [int(char) for char in input()] l = len(s) k = int(input()) tmp = 0 nonzero = [] for number in s: if number > 0: tmp += 1 nonzero.append(tmp) nonzero.append(0) # let nonzero[-1] be 0 def binomial(n, k): if n < k or n < 0 or k < 0: return 0 if k == 0: return 1 if k == 1: return n if k == 2: return n * (n-1) // 2 if k == 3: return n * (n-1) * (n-2) // 6 raise ValueError def dp(i, _cache={-1: 0}): if i in _cache: return _cache[i] if nonzero[i-1] > k or s[i] == 0: result = dp(i-1) _cache[i] = result return result if nonzero[i-1] == k: result = dp(i-1) + 1 _cache[i] = result return result result = ( dp(i-1) + (s[i] - 1) * binomial(l - 1 - i, k - nonzero[i-1] - 1) * 9 ** (k - nonzero[i-1] - 1) + binomial(l - 1 - i, k - nonzero[i-1]) * 9 ** (k - nonzero[i-1]) ) _cache[i] = result return result print(dp(l-1) + (nonzero[l-1] == k)) main()
[]
581,635
581,636
u595856802
python
p02781
import math def combi(n,r): if r > n:return 0 return math.factorial(n) // (math.factorial(n - r)*(math.factorial(r))) def solve(i,k,smaller): #一番最後の桁まで調べたら終了 if i == N: if k == 0:return 1 else: 0 #途中であっても0以外の数字を使い切ったら終了 if k == 0:return 1 #Nより小さいことが確定すれば残りの桁数(N-i)のうち #k個所に0以外の数字(9**k通り)を使い,それ以外の桁の数字は0なので #C(n-i,n-i-k)=C(n-i,k)個所に0をはめる if smaller: return combi(N-i, k)*(9**k) else: #i桁目が0なら,smallerであるといえない if S[i] == '0':return solve(i+1,k,False) else: zero = solve(i+1, k, True) aida = solve(i+1, k-1, True) * (int(S[i])-1) icchi = solve(i+1, k-1, False) return zero + aida + icchi #0出ない数字がちょうどK個であるようなN以下の整数を探索 S = input() N = len(S) K = int(input()) print((solve(0,K,False)))
import math def combi(n,r): if r > n:return 0 return math.factorial(n) // (math.factorial(n - r)*(math.factorial(r))) def solve(i,k,smaller): #一番最後の桁まで調べたら終了 if i == N: if k == 0:return 1 else: return 0 #途中であっても0以外の数字を使い切ったら終了 if k == 0:return 1 #Nより小さいことが確定すれば残りの桁数(N-i)のうち #k個所に0以外の数字(9**k通り)を使い,それ以外の桁の数字は0なので #C(n-i,n-i-k)=C(n-i,k)個所に0をはめる if smaller: return combi(N-i, k)*(9**k) else: #i桁目が0なら,smallerであるといえない if S[i] == '0':return solve(i+1,k,False) else: zero = solve(i+1, k, True) aida = solve(i+1, k-1, True) * (int(S[i])-1) icchi = solve(i+1, k-1, False) return zero + aida + icchi #0出ない数字がちょうどK個であるようなN以下の整数を探索 S = input() N = len(S) K = int(input()) print((solve(0,K,False)))
[ "control_flow.return.add" ]
581,691
581,692
u215315599
python
p02781
ar = input() k = int(input()) l = len(ar) DP = [[[-1] * 2 for j in range(5)] for i in range(102)] def dp(i, j, fl): if i == l: if j == k: return 1 else: return 0 if DP[i][j][fl] != -1: return DP[i][j][fl] res = 0 # print(i,j,fl) if fl: for p in range(10): res += dp(i+1, j + (p != 0) , fl == 1) else: ko = ord(ar[i]) - ord('0') for p in range(ko + 1): res += dp(i + 1, j + (p != 0), p < ko) DP[i][j][fl] = res return res print(dp(0, 0, 0))
ar = input() k = int(input()) l = len(ar) DP = [[[-1] * 2 for j in range(103)] for i in range(102)] def dp(i, j, fl): if i == l: if j == k: return 1 else: return 0 if DP[i][j][fl] != -1: return DP[i][j][fl] res = 0 # print(i,j,fl) if fl: for p in range(10): res += dp(i+1, j + (p != 0) , fl == 1) else: ko = ord(ar[i]) - ord('0') for p in range(ko + 1): res += dp(i + 1, j + (p != 0), p < ko) DP[i][j][fl] = res return res print(dp(0, 0, 0))
[ "literal.number.integer.change", "assignment.value.change", "call.arguments.change", "control_flow.loop.range.bounds.upper.change" ]
581,717
581,718
u449403739
python
p02781
S = input() N = len(S) K = int(input()) MOD = 10 ** 9 + 7 fact = [1, 1] factinv = [1, 1] inv = [0, 1] # 必要なだけforを回す for i in range(2, 6): fact.append((fact[-1] * i) % MOD) inv.append((-inv[MOD % i] * (MOD // i)) % MOD) factinv.append((factinv[-1] * inv[-1]) % MOD) # nCr n個から重複を許さずr個の組み合わせを選ぶ def cmb(n, r): if (r < 0) or (n < r): return 0 r = min(r, n - r) return fact[n] * factinv[r] * factinv[n-r] % MOD def rec(i, k, isSmaller): if i == N: if k == 0: return 1 else: return 0 if k == 0: return 1 if isSmaller: return cmb(N-i, k) * pow(9, k) else: if S[i] == '0': return rec(i+1, k, False) else: zero = rec(i+1, k, True) between = rec(i+1, k-1, True) * (int(S[i]) - 1) same = rec(i+1, k-1, False) return zero + between + same print(rec(0, K, False))
S = input() N = len(S) K = int(input()) MOD = 10 ** 9 + 7 fact = [1, 1] factinv = [1, 1] inv = [0, 1] # 必要なだけforを回す for i in range(2, 10 ** 6): fact.append((fact[-1] * i) % MOD) inv.append((-inv[MOD % i] * (MOD // i)) % MOD) factinv.append((factinv[-1] * inv[-1]) % MOD) # nCr n個から重複を許さずr個の組み合わせを選ぶ def cmb(n, r): if (r < 0) or (n < r): return 0 r = min(r, n - r) return fact[n] * factinv[r] * factinv[n-r] % MOD def rec(i, k, isSmaller): if i == N: if k == 0: return 1 else: return 0 if k == 0: return 1 if isSmaller: return cmb(N-i, k) * pow(9, k) else: if S[i] == '0': return rec(i+1, k, False) else: zero = rec(i+1, k, True) between = rec(i+1, k-1, True) * (int(S[i]) - 1) same = rec(i+1, k-1, False) return zero + between + same print(rec(0, K, False))
[ "control_flow.loop.range.bounds.upper.change", "expression.operation.binary.add" ]
581,727
581,728
u112317104
python
p02781
import sys sys.setrecursionlimit(10 ** 6) from math import factorial def comb(n, r): if r < 0 or r > n: return 0 else: return factorial(n) // (factorial(n - r) * factorial(r)) # 左から i 桁目以降について、0 以外の値を残り K 個使用可能 # smaller: i 桁目までが 一致している時=False, 小さい時=True def solve(i, k, smaller): if i == n: if k == 0: return 1 else: return 0 if k == 0: return 1 if smaller: return comb(n - i, k) * 9 ** k else: if S[i] == "0": return solve(i + 1, k, Flase) else: zero = solve(i + 1, k, True) aida = solve(i + 1, k - 1, True) * (int(S[i]) - 1) icchi = solve(i + 1, k - 1, False) return zero + aida + icchi S = input() n = len(S) k = int(input()) print(solve(0, k, False))
import sys sys.setrecursionlimit(10 ** 6) from math import factorial def comb(n, r): if r < 0 or r > n: return 0 else: return factorial(n) // (factorial(n - r) * factorial(r)) # 左から i 桁目以降について、0 以外の値を残り K 個使用可能 # smaller: i 桁目までが 一致している時=False, 小さい時=True def solve(i, k, smaller): if i == n: if k == 0: return 1 else: return 0 if k == 0: return 1 if smaller: return comb(n - i, k) * 9 ** k else: if S[i] == "0": return solve(i + 1, k, False) else: zero = solve(i + 1, k, True) aida = solve(i + 1, k - 1, True) * (int(S[i]) - 1) icchi = solve(i + 1, k - 1, False) return zero + aida + icchi S = input() n = len(S) k = int(input()) print(solve(0, k, False))
[ "call.arguments.change", "function.return_value.change" ]
581,739
581,740
u802963389
python
p02781
n = int(input()) k = int(input()) keta = len(str(n)) dp = [[[0 for j in range(keta+2)] for _ in range(2)] for i in range(keta)] s = str(n) #dp[何桁目か][未満フラグ 0 = 未満][ゼロ以外のの個数] x = int(s[0]) if x == 1: dp[0][1][0] = 1 else: dp[0][1][0] += 1 dp[0][0][0] += x - 1 for index, c in enumerate(s[1:]): i = index + 1 x = int(c) dp[i][0][0] += 9 for j in range(keta+1): dp[i][0][j] += dp[i-1][0][j] if x == 0: dp[i][1][j] += dp[i - 1][1][j] dp[i][0][j + 1] += dp[i - 1][0][j] * 9 elif x: dp[i][0][j + 1] += dp[i - 1][1][j] dp[i][0][j] += dp[i - 1][1][j] dp[i][0][j + 1] += dp[i - 1][0][j] * 9 dp[i][0][j + 1] += dp[i - 1][1][j] * (x - 1) # print(sum(dp[i][0]) + sum(dp[i][1])) print(dp[-1][0][k-1] + dp[-1][1][k-1])
n = int(input()) k = int(input()) keta = len(str(n)) dp = [[[0 for j in range(k+2)] for _ in range(2)] for i in range(keta)] s = str(n) #dp[何桁目か][未満フラグ 0 = 未満][ゼロ以外のの個数] x = int(s[0]) if x == 1: dp[0][1][0] = 1 else: dp[0][1][0] += 1 dp[0][0][0] += x - 1 for index, c in enumerate(s[1:]): i = index + 1 x = int(c) dp[i][0][0] += 9 for j in range(k+1): dp[i][0][j] += dp[i - 1][0][j] if x == 0: dp[i][1][j] += dp[i - 1][1][j] dp[i][0][j + 1] += dp[i - 1][0][j] * 9 elif x: dp[i][1][j + 1] += dp[i - 1][1][j] dp[i][0][j] += dp[i - 1][1][j] dp[i][0][j + 1] += dp[i - 1][0][j] * 9 dp[i][0][j + 1] += dp[i - 1][1][j] * (x - 1) # print(sum(dp[i][0]) + sum(dp[i][1])) # print(s[:index + 2]) # print(dp) print(dp[-1][0][k-1] + dp[-1][1][k-1])
[ "assignment.value.change", "identifier.change", "call.arguments.change", "expression.operation.binary.change", "control_flow.loop.range.bounds.upper.change", "literal.number.integer.change", "variable_access.subscript.index.change" ]
581,745
581,746
u301984327
python
p02781
import sys import math input = sys.stdin.readline n = int(input()) k = int(input()) t = n m = 0 while t: m += 1 t //= 10 def comb(n, r): if r > n: return 0 return math.factorial(n) // (math.factorial(n - r) * math.factorial(r)) ans = 9 ** k * comb(m-1, k) tk = k def dfs(i, mt, kt): a = i // 10 ** mt b = n // 10 ** mt if kt < 0: return 0 if mt < kt: return 0 if a < b: if mt > 0: return 9 ** kt * comb(mt, kt) else: return 1 elif a > b: return 0 if i == n: return 1 elif i > n: return 0 ret = 0 for j in range(10): f = 0 if j != 0: f = 1 ret += dfs(i+j*10**(mt-1), mt-1, kt-f) return ret t_ans = 0 for i in range(1, n // (10 ** (m-1) )+1): ti = i * 10 ** (m-1) t_ans += dfs(ti, m-1, k-1) print(int(ans+t_ans))
import sys import math input = sys.stdin.readline n = int(input()) k = int(input()) t = n m = 0 while t: m += 1 t //= 10 def comb(n, r): if r > n: return 0 return math.factorial(n) // (math.factorial(n - r) * math.factorial(r)) ans = 9 ** k * comb(m-1, k) tk = k def dfs(i, mt, kt): a = i // 10 ** mt b = n // 10 ** mt if kt < 0: return 0 if mt < kt: return 0 if a < b: if mt > 0: return 9 ** kt * comb(mt, kt) else: return 1 elif a > b: return 0 if i == n and kt == 0: return 1 elif i > n: return 0 ret = 0 for j in range(10): f = 0 if j != 0: f = 1 ret += dfs(i+j*10**(mt-1), mt-1, kt-f) return ret t_ans = 0 for i in range(1, n // (10 ** (m-1) )+1): ti = i * 10 ** (m-1) t_ans += dfs(ti, m-1, k-1) print(int(ans+t_ans))
[ "control_flow.branch.if.condition.change" ]
581,774
581,775
u408620326
python
p02781
N=input() K=int(input()) dp_0 = [[0]*(len(N)) for i in range(K+1)] dp_1 = [[0]*(len(N)) for i in range(K+1)] dp_0[0][0]=1 dp_0[1][0]=int(N[0])-1 dp_1[1][0]=1 for i in range(len(N)-1): for j in range(K+1): if j==K: dp_0[j][i+1] += dp_0[j][i] elif j==0: dp_0[j][i+1] =dp_0[j][i] dp_0[j+1][i+1] += dp_0[j][i]*9 else: dp_0[j][i+1] += dp_0[j][i] dp_0[j+1][i+1] += dp_0[j][i]*9 if j != K and N[i] != '0': dp_0[j+1][i+1] += (int(N[i+1])-1)*dp_1[j][i] dp_0[j][i+1] += dp_1[j][i] dp_1[j+1][i+1] = dp_1[j][i] elif N[i] =='0': dp_1[j][i+1] = dp_1[j][i] else: dp_0[j][i+1] += dp_1[j][i] print(dp_0[K][len(N)-1]+dp_1[K][len(N)-1])
N=input() K=int(input()) dp_0 = [[0]*(len(N)) for i in range(K+1)] dp_1 = [[0]*(len(N)) for i in range(K+1)] dp_0[0][0]=1 dp_0[1][0]=int(N[0])-1 dp_1[1][0]=1 for i in range(len(N)-1): for j in range(K+1): if j==K: dp_0[j][i+1] += dp_0[j][i] elif j==0: dp_0[j][i+1] =dp_0[j][i] dp_0[j+1][i+1] += dp_0[j][i]*9 else: dp_0[j][i+1] += dp_0[j][i] dp_0[j+1][i+1] += dp_0[j][i]*9 if j != K and N[i+1] != '0': dp_0[j+1][i+1] += (int(N[i+1])-1)*dp_1[j][i] dp_0[j][i+1] += dp_1[j][i] dp_1[j+1][i+1] = dp_1[j][i] elif N[i+1] =='0': dp_1[j][i+1] = dp_1[j][i] else: dp_0[j][i+1] += dp_1[j][i] print(dp_0[K][len(N)-1]+dp_1[K][len(N)-1])
[ "control_flow.branch.if.condition.change", "control_flow.loop.for.condition.change", "misc.off_by_one" ]
581,798
581,799
u474423089
python
p02781
N = input() K = int(input()) DP = [[[0 for i in range(K+1)] for i in range(2)] for i in range(len(N))] for d in range(int(N[0])+1): DP[0][d<int(N[0])][d!=0] += 1 for i in range(len(N)-1): for j in range(2): for k in range(K+1): for d in range(10 if j else int(N[i+1])+1): if k+(d!=0) <= K: DP[i+1][j|(d<int(N[i]))][k+(d!=0)] += DP[i][j][k] print(DP[len(N)-1][0][K]+DP[len(N)-1][1][K])
N = input() K = int(input()) DP = [[[0 for i in range(K+1)] for i in range(2)] for i in range(len(N))] for d in range(int(N[0])+1): DP[0][d<int(N[0])][d!=0] += 1 for i in range(len(N)-1): for j in range(2): for k in range(K+1): for d in range(10 if j else int(N[i+1])+1): if k+(d!=0) <= K: DP[i+1][j|(d<int(N[i+1]))][k+(d!=0)] += DP[i][j][k] print(DP[len(N)-1][0][K]+DP[len(N)-1][1][K])
[ "expression.operation.binary.add" ]
581,805
581,806
u441575327
python
p02781
import math from functools import reduce from collections import deque import sys sys.setrecursionlimit(10**7) # スペース区切りの入力を読み込んで数値リストにして返します。 def get_nums_l(): return [ int(s) for s in input().split(" ")] # 改行区切りの入力をn行読み込んで数値リストにして返します。 def get_nums_n(n): return [ int(input()) for _ in range(n)] # 改行またはスペース区切りの入力をすべて読み込んでイテレータを返します。 def get_all_int(): return map(int, open(0).read().split()) def log(*args): print("DEBUG:", *args, file=sys.stderr) n,k = get_all_int() # m桁の数値でf(n)=kとなる数の個数 # dp[k][m] dp = [ [None]*101 for _ in range(4)] for i in range(101): dp[0][i] = 1 dp[0][0] = 0 dp[1][0] = 0 dp[2][0] = 0 dp[3][0] = 0 dp[1][1] = 9 dp[2][1] = 0 dp[3][1] = 0 dp[1][2] = 1 * dp[1][1] + 9 * dp[0][1] for i in range(2,101): dp[1][i] = 1 * dp[1][i-1] + 9 * dp[0][i-1] dp[2][i] = 1 * dp[2][i-1] + 9 * dp[1][i-1] dp[3][i] = 1 * dp[3][i-1] + 9 * dp[2][i-1] # log(dp[1]) # log(dp[2]) ans = 0 keta = 0 x = n while x > 0: keta += 1 x //= 10 def sol(n, keta, k): if k == 0: return 1 if k < 0: return 0 if keta < k: return 0 if keta == 0: return 1 top = n//10**(keta-1)%10 if keta==1: return top ans = 0 # 0のとき if top == 0: ans += sol(n, keta-1, k) else: ans += 1 * (0 if keta==1 else dp[k][keta-1]) # ans += sol(n, keta-1, k) log(keta,top,k,ans) # 1~top-1のとき if top != 0: if top == 1: ans += sol(n, keta-1, k-1) else: ans += (top-1) * (1 if keta==1 else dp[k-1][keta-1]) # ans += (top-1) * sol(n, keta-1, k-1) log(keta,top,k,ans) # topのとき if top != 0: ans += sol(n, keta-1, k-1) log(keta,top,k,ans) return ans if keta < k: print(0) exit() ans += sol(n, keta, k) print(ans)
import math from functools import reduce from collections import deque import sys sys.setrecursionlimit(10**7) # スペース区切りの入力を読み込んで数値リストにして返します。 def get_nums_l(): return [ int(s) for s in input().split(" ")] # 改行区切りの入力をn行読み込んで数値リストにして返します。 def get_nums_n(n): return [ int(input()) for _ in range(n)] # 改行またはスペース区切りの入力をすべて読み込んでイテレータを返します。 def get_all_int(): return map(int, open(0).read().split()) def log(*args): print("DEBUG:", *args, file=sys.stderr) n,k = get_all_int() # m桁の数値でf(n)=kとなる数の個数 # dp[k][m] dp = [ [None]*101 for _ in range(4)] for i in range(101): dp[0][i] = 1 dp[0][0] = 0 dp[1][0] = 0 dp[2][0] = 0 dp[3][0] = 0 dp[1][1] = 9 dp[2][1] = 0 dp[3][1] = 0 dp[1][2] = 1 * dp[1][1] + 9 * dp[0][1] for i in range(2,101): dp[1][i] = 1 * dp[1][i-1] + 9 * dp[0][i-1] dp[2][i] = 1 * dp[2][i-1] + 9 * dp[1][i-1] dp[3][i] = 1 * dp[3][i-1] + 9 * dp[2][i-1] # log(dp[1]) # log(dp[2]) ans = 0 keta = 0 x = n while x > 0: keta += 1 x //= 10 def sol(n, keta, k): if k == 0: return 1 if k < 0: return 0 if keta < k: return 0 if keta == 0: return 1 top = n//10**(keta-1)%10 if keta==1: return top ans = 0 # 0のとき if top == 0: ans += sol(n, keta-1, k) else: ans += 1 * (0 if keta==1 else dp[k][keta-1]) # ans += sol(n, keta-1, k) log(keta,top,k,ans) # 1~top-1のとき if top != 0: if top == 1: ans += sol(n, keta-1, k-1) else: ans += (top-1) * (1 if keta==1 else dp[k-1][keta-1]) # ans += (top-1) * sol(n, keta-1, k-1) log(keta,top,k,ans) # topのとき if top > 1: ans += sol(n, keta-1, k-1) log(keta,top,k,ans) return ans if keta < k: print(0) exit() ans += sol(n, keta, k) print(ans)
[]
581,820
581,821
u407160848
python
p02781
n = input() k = int(input()) n_list = [] for a in n: n_list.append(int(a)) n_num = len(n_list) if n_num < k: print('0') return dp = [[[0] * (n_num + 1) for _ in range(2)]for _ in range(n_num + 1)] dp[0][0][0] = 1 for i in range(n_num): for smaller in range(2): for j in range(n_num): lim = 9 if smaller else n_list[i] for x in range(lim + 1): if x != 0: ns = j + 1 else: ns = j nlt = smaller | (x < n_list[i]) dp[i + 1][nlt][ns] += dp[i][smaller][j] ans = dp[n_num][0][k] + dp[n_num][1][k] print(ans)
n = input() k = int(input()) n_list = [] for a in n: n_list.append(int(a)) n_num = len(n_list) if n_num < k: print('0') else: dp = [[[0] * (n_num + 1) for _ in range(2)]for _ in range(n_num + 1)] dp[0][0][0] = 1 for i in range(n_num): for smaller in range(2): for j in range(n_num): lim = 9 if smaller else n_list[i] for x in range(lim + 1): if x != 0: ns = j + 1 else: ns = j nlt = smaller | (x < n_list[i]) dp[i + 1][nlt][ns] += dp[i][smaller][j] ans = dp[n_num][0][k] + dp[n_num][1][k] print(ans)
[ "function.return_value.change" ]
581,827
581,828
u255382385
python
p02781
def count(keta,kazu): if(keta<kazu): return 0 result=1 wari=1 for i in range(kazu): wari*=i+1 result*=keta-i result//=wari #print(result) for i in range(kazu): result*=9 return result def Ans(moji,kazu): #print(moji,kazu) naga=len(moji) if(naga<kazu): return 0 if(kazu==0): return 1 sento=int(moji[0]) if(naga==1): return sento #return Ans(moji[1:],kazu)+Ans(moji[1:],kazu-1)+count() if(sento==0): plus=Ans(moji[1:],kazu) else: plus=Ans(moji[1:],kazu-1) #print(count(naga-1,kazu),count(naga-1,kazu-1),plus) return count(naga-1,kazu)+count(naga-1,kazu-1)*(sento-1)+plus n=input() l=len(n) k=int(input()) print(Ans(n,k))
def count(keta,kazu): if(keta<kazu): return 0 result=1 wari=1 for i in range(kazu): wari*=i+1 result*=keta-i result//=wari #print(result) for i in range(kazu): result*=9 return result def Ans(moji,kazu): #print(moji,kazu) naga=len(moji) if(naga<kazu): return 0 if(kazu==0): return 1 sento=int(moji[0]) if(naga==1): return sento #return Ans(moji[1:],kazu)+Ans(moji[1:],kazu-1)+count() if(sento==0): plus=Ans(moji[1:],kazu) return plus else: plus=Ans(moji[1:],kazu-1) #print(count(naga-1,kazu),count(naga-1,kazu-1),plus) return count(naga-1,kazu)+count(naga-1,kazu-1)*(sento-1)+plus n=input() l=len(n) k=int(input()) print(Ans(n,k)) #ans=count(l-1,k) #print(ans) #batu=0 #for i in range(l): # suji=int(n[i]) # if(suji!=0): # batu+=1 # if(k<batu): # break # nok=count(l-i-1,k-batu) # print(suji,nok) # ans+=nok*(suji-1) #print(ans)
[ "control_flow.return.add" ]
581,835
581,836
u965840662
python
p02781
N_str = str(input()) K = int(input()) digit_length = len(N_str) topmost_digit = int(N_str[0]) C_table = [[0, 0, 0] for _ in range(digit_length)] def C(all, pick): if C_table[all][pick] == 0: count_child = 1 count_parent = 1 for i in range(pick): count_child *= all - i count_parent *= i + 1 C_table[all][pick] = count_child // count_parent return C_table[all][pick] def get_count(top_digit, digit_count, needed_nonzero): if needed_nonzero <= 0 or needed_nonzero > digit_count: return 0 if digit_count == 1: if needed_nonzero == 1: return top_digit else: return 0 if top_digit == 0: return get_count(int(N_str[digit_length - digit_count + 1]) ,digit_count - 1, needed_nonzero) if top_digit >= 1: count = C(digit_count - 1, needed_nonzero) * (9 ** needed_nonzero) if needed_nonzero == 1: count += 1 if top_digit > 1: count += C(digit_count - 1, needed_nonzero - 1) * (9 ** (needed_nonzero - 1)) * (top_digit - 1) return count + get_count(int(N_str[digit_length - digit_count + 1]) ,digit_count - 1, needed_nonzero - 1) print(get_count(topmost_digit, digit_length, K))
N_str = str(input()) K = int(input()) digit_length = len(N_str) topmost_digit = int(N_str[0]) C_table = [[0, 0, 0, 0] for _ in range(digit_length+10)] def C(all, pick): if C_table[all][pick] == 0: count_child = 1 count_parent = 1 for i in range(pick): count_child *= all - i count_parent *= i + 1 C_table[all][pick] = count_child // count_parent return C_table[all][pick] def get_count(top_digit, digit_count, needed_nonzero): if needed_nonzero <= 0 or needed_nonzero > digit_count: return 0 if digit_count == 1: if needed_nonzero == 1: return top_digit else: return 0 if top_digit == 0: return get_count(int(N_str[digit_length - digit_count + 1]) ,digit_count - 1, needed_nonzero) if top_digit >= 1: count = C(digit_count - 1, needed_nonzero) * (9 ** needed_nonzero) if needed_nonzero == 1: count += 1 if top_digit > 1: count += C(digit_count - 1, needed_nonzero - 1) * (9 ** (needed_nonzero - 1)) * (top_digit - 1) return count + get_count(int(N_str[digit_length - digit_count + 1]) ,digit_count - 1, needed_nonzero - 1) print(get_count(topmost_digit, digit_length, K))
[ "control_flow.loop.range.bounds.upper.change", "assignment.change" ]
581,841
581,842
u736524428
python
p02781
def nCk(n, k): return factorial(n)/factorial(n-k)/factorial(k) from math import factorial N = input() K = int(input()) order = len(N) diff = order - K if order < K: print(0) s = int(N[0]) #lower = factorial(order-1)/factorial(diff-1)/ factorial(K) * (9**K) if order - 1 >= K: lower = nCk(order - 1, K) * (9**K) else: lower = 0 total = lower for i in range(1, s): # total += factorial(order-1)/factorial(diff)/ factorial(K-1) * (9**(K-1)) total += nCk(order - 1, K - 1) * (9**(K-1)) if K == 1: total += 1 elif K == 2: under = int(N[1:]) num = "0"*(order -1) for k in range(order - 1): for kk in range(1, 10): tmp = num[:k] + str(kk) + num[k+1:] if int(tmp) <= under: total += 1 elif K == 3: under = int(N[1:]) num = "0"*(order -1) for k in range(1, order - 1): for j in range(k): for kk in range(1, 10): for jj in range(1, 10): tmp = num[:j] + str(jj) + num[j+1:k] +str(kk) + num[k+1:] if int(tmp) <= under: total += 1 print(int(total)) #pattern = factorial(order)/factorial(diff)/ factorial(K) * (9**K)
def nCk(n, k): return factorial(n)/factorial(n-k)/factorial(k) from math import factorial N = input() K = int(input()) order = len(N) diff = order - K if order < K: print(0) else: s = int(N[0]) #lower = factorial(order-1)/factorial(diff-1)/ factorial(K) * (9**K) if order - 1 >= K: lower = nCk(order - 1, K) * (9**K) else: lower = 0 total = lower for i in range(1, s): # total += factorial(order-1)/factorial(diff)/ factorial(K-1) * (9**(K-1)) total += nCk(order - 1, K - 1) * (9**(K-1)) if K == 1: total += 1 elif K == 2: under = int(N[1:]) num = "0"*(order -1) for k in range(order - 1): for kk in range(1, 10): tmp = num[:k] + str(kk) + num[k+1:] if int(tmp) <= under: total += 1 elif K == 3: under = int(N[1:]) num = "0"*(order -1) for k in range(1, order - 1): for j in range(k): for kk in range(1, 10): for jj in range(1, 10): tmp = num[:j] + str(jj) + num[j+1:k] +str(kk) + num[k+1:] if int(tmp) <= under: total += 1 print(int(total)) #pattern = factorial(order)/factorial(diff)/ factorial(K) * (9**K)
[]
581,843
581,844
u770199020
python
p02781
''' بِسْمِ اللَّهِ الرَّحْمَٰنِ الرَّحِيمِ ''' #codeforces gi = lambda : list(map(int,input().split())) s = input() n, = gi() ans = 0 mag = len(s) - 1 #corner cases: if len(s) <= 3: s = int(s) for k in range(s + 1): if len(str(k)) - str(k).count("0") == n: ans += 1 print(ans) exit() while mag - n >= 0: a = 9 b = 1 c = 1 if n > 2: c = 81 * ((mag - 1) * (mag - 2) // 2) elif n > 1: b = 9 * (mag - 1) ans += a * b * c #print(mag, a, b, c, ans) mag -= 1 mag = len(s) a = int(s[0]) - 1 b, c = 1, 1 if n > 2: c = 81 * ((mag - 1) * (mag - 2) // 2) elif n > 1: b = 9 * (mag - 1) ans += a * b * c a = b = c = 1 if n == 1: print(ans + 1) exit() if n > 1: i = -1 for k in range(1, len(s)): if s[k] != "0": i = k break; if i != -1: a = int(s[i]) - 1 if n > 2: b = len(s) - i - 1 b *= 9 ans += a * b a = b = 1 if n > 2: x = len(s) - i - 1 a = 81 * (x * (x - 1)) // 2 else: a = 9 * (len(s) - i - 1) ans += a if n > 2: a = b = c = 1 j = -1 for k in range(i + 1, len(s)): if s[k] != "0": j = k break; if j != -1: ans += 9 * (len(s) - j - 1) + int(s[j]) else: ans += 1 print(ans)
''' بِسْمِ اللَّهِ الرَّحْمَٰنِ الرَّحِيمِ ''' #codeforces gi = lambda : list(map(int,input().split())) s = input() n, = gi() ans = 0 mag = len(s) - 1 #corner cases: if len(s) <= 7: s = int(s) for k in range(s + 1): if len(str(k)) - str(k).count("0") == n: ans += 1 print(ans) exit() while mag - n >= 0: a = 9 b = 1 c = 1 if n > 2: c = 81 * ((mag - 1) * (mag - 2) // 2) elif n > 1: b = 9 * (mag - 1) ans += a * b * c #print(mag, a, b, c, ans) mag -= 1 mag = len(s) a = int(s[0]) - 1 b, c = 1, 1 if n > 2: c = 81 * ((mag - 1) * (mag - 2) // 2) elif n > 1: b = 9 * (mag - 1) ans += a * b * c a = b = c = 1 if n == 1: print(ans + 1) exit() if n > 1: i = -1 for k in range(1, len(s)): if s[k] != "0": i = k break; if i != -1: a = int(s[i]) - 1 if n > 2: b = len(s) - i - 1 b *= 9 ans += a * b a = b = 1 if n > 2: x = len(s) - i - 1 a = 81 * (x * (x - 1)) // 2 else: a = 9 * (len(s) - i - 1) ans += a if n > 2: a = b = c = 1 j = -1 for k in range(i + 1, len(s)): if s[k] != "0": j = k break; if j != -1: ans += 9 * (len(s) - j - 1) + int(s[j]) else: ans += 1 print(ans)
[ "literal.number.integer.change", "control_flow.branch.if.condition.change" ]
581,847
581,848
u909815117
python
p02781
# does not contain more than K non # zero digits # This function returns the count of # required numbers from 0 to num def countInRangeUtil(pos, cnt, tight, num): # Last position if pos == len(num): # If count of non zero digits # is less than or equal to K if cnt <= K: return 1 return 0 # If this result is already computed # simply return it if dp[pos][cnt][tight] != -1: return dp[pos][cnt][tight] ans = 0 # Maximum limit upto which we can place # digit. If tight is 1, means number has # already become smaller so we can place # any digit, otherwise num[pos] limit = 9 if tight else num[pos] for dig in range(limit + 1): currCnt = cnt # If the current digit is nonzero # increment currCnt if dig != 0: currCnt += 1 currTight = tight # At this position, number becomes # smaller if dig < num[pos]: currTight = 1 # Next recursive call ans += countInRangeUtil(pos + 1, currCnt, currTight, num) dp[pos][cnt][tight] = ans return dp[pos][cnt][tight] # This function converts a number into its # digit vector and uses above function to compute # the answer def countInRange(x): global dp, K, M num = [] while x: num.append(x % 10) x //= 10 num.reverse() # Initialize dp dp = [[[-1, -1] for i in range(M)] for j in range(M)] return countInRangeUtil(0, 0, 0, num) # Driver Code if __name__ == "__main__": # states - position, count, tight dp = [] M = 20 # K is the number of non zero digits K = 0 L = 1 R = int(input()) K = int(input()) a=countInRange(R) K=K-1 b=countInRange(R) print(a-b)
# does not contain more than K non # zero digits # This function returns the count of # required numbers from 0 to num def countInRangeUtil(pos, cnt, tight, num): # Last position if pos == len(num): # If count of non zero digits # is less than or equal to K if cnt <= K: return 1 return 0 # If this result is already computed # simply return it if dp[pos][cnt][tight] != -1: return dp[pos][cnt][tight] ans = 0 # Maximum limit upto which we can place # digit. If tight is 1, means number has # already become smaller so we can place # any digit, otherwise num[pos] limit = 9 if tight else num[pos] for dig in range(limit + 1): currCnt = cnt # If the current digit is nonzero # increment currCnt if dig != 0: currCnt += 1 currTight = tight # At this position, number becomes # smaller if dig < num[pos]: currTight = 1 # Next recursive call ans += countInRangeUtil(pos + 1, currCnt, currTight, num) dp[pos][cnt][tight] = ans return dp[pos][cnt][tight] # This function converts a number into its # digit vector and uses above function to compute # the answer def countInRange(x): global dp, K, M num = [] while x: num.append(x % 10) x //= 10 num.reverse() # Initialize dp dp = [[[-1, -1] for i in range(M)] for j in range(M)] return countInRangeUtil(0, 0, 0, num) # Driver Code if __name__ == "__main__": # states - position, count, tight dp = [] M = 100 # K is the number of non zero digits K = 0 L = 1 R = int(input()) K = int(input()) a=countInRange(R) K=K-1 b=countInRange(R) print(a-b)
[ "literal.number.integer.change", "assignment.value.change" ]
581,849
581,850
u237380963
python
p02781
def factorial(n): a = 1 for i in range(1, n + 1): a *= i return a def nCr(n,r): if r > n: return 0 return factorial(n) // factorial(r) // factorial(n - r) def normal(d, k): #print("normal d,k ", d, k) return nCr(d, k) * (9**k) def main(): tmp = input() N = [int(c) for c in tmp] D = len(N) K = int(input()) #print(D, K) x = 0 ans1, ans2, ans3, ans4, ans5, ans6 = 0, 0, 0, 0, 0, 0 if K == 1: ans1 = normal(D-1, K) ans2 = N[0] elif K == 2: ans1 = normal(D-1, K) ans2 = (N[0] - 1) * normal(D-1, K-1) x = 1 found = False for i in range(x, D): if N[i] != 0: x = i found = True break if found: if x == D - 1: ans4 = N[x] else: ans3 = normal(D-(x+1), K-1) ans4 = N[x] elif K == 3: ans1 = normal(D-1, K) ans2 = (N[0] - 1) * normal(D-1, K-1) x = 1 found = False for i in range(x, D): if N[i] != 0: x = i found = True break if found: if x == D - 1: pass else: ans3 = normal(D-(x+1), K-1) ans4 = (N[x] - 1) * normal(D-(x+1), K-2) found = False for i in range(x, D): if N[i] != 0: x = i found = True break if found: if x == D - 1: ans6 = N[x] else: ans5 = normal(D-(x+1), K-2) ans6 = N[x] #print("ans1", ans1) #print("ans2", ans2) #print("ans3", ans3) #print("ans4", ans4) #print("ans5", ans5) #print("ans6", ans6) ans = ans1+ans2+ans3+ans4+ans5+ans6 #print("ans", ans) print(ans) main()
def factorial(n): a = 1 for i in range(1, n + 1): a *= i return a def nCr(n,r): if r > n: return 0 return factorial(n) // factorial(r) // factorial(n - r) def normal(d, k): #print("normal d,k ", d, k) return nCr(d, k) * (9**k) def main(): tmp = input() N = [int(c) for c in tmp] D = len(N) K = int(input()) #print(D, K) x = 0 ans1, ans2, ans3, ans4, ans5, ans6 = 0, 0, 0, 0, 0, 0 if K == 1: ans1 = normal(D-1, K) ans2 = N[0] elif K == 2: ans1 = normal(D-1, K) ans2 = (N[0] - 1) * normal(D-1, K-1) x = 1 found = False for i in range(x, D): if N[i] != 0: x = i found = True break if found: if x == D - 1: ans4 = N[x] else: ans3 = normal(D-(x+1), K-1) ans4 = N[x] elif K == 3: ans1 = normal(D-1, K) ans2 = (N[0] - 1) * normal(D-1, K-1) x = 1 found = False for i in range(x, D): if N[i] != 0: x = i found = True break if found: if x == D - 1: pass else: ans3 = normal(D-(x+1), K-1) ans4 = (N[x] - 1) * normal(D-(x+1), K-2) x = x + 1 found = False for i in range(x, D): if N[i] != 0: x = i found = True break if found: if x == D - 1: ans6 = N[x] else: ans5 = normal(D-(x+1), K-2) ans6 = N[x] #print("ans1", ans1) #print("ans2", ans2) #print("ans3", ans3) #print("ans4", ans4) #print("ans5", ans5) #print("ans6", ans6) ans = ans1+ans2+ans3+ans4+ans5+ans6 #print("ans", ans) print(ans) main()
[ "assignment.add" ]
581,881
581,882
u162773977
python
p02782
from sys import stdout printn = lambda x: stdout.write(str(x)) inn = lambda : int(input()) inl = lambda: list(map(int, input().split())) inm = lambda: map(int, input().split()) ins = lambda : input().strip() DBG = True # and False BIG = 999999999 R = 10**9 + 7 def ddprint(x): if DBG: print(x) def modinv2(x,r): return pow(x,r-2,r) def f(r,c): d = c prod = 1 div = 1 divacc = 1 for i in range(r-1): prod = (prod*d)%R divacc = (divacc*div)%R d += 1 div += 1 ret = (prod*modinv2(divacc,R))%R #ddprint("f r {} c {} ret {}".format(r,c,ret)) return ret r1,c1,r2,c2 = inm() r1 += 1 c1 += 1 r2 += 1 c2 += 1 print(f(r2+1,c2+1)-f(r2+1,c1)-f(r1,c2+1)+f(r1,c1))
from sys import stdout printn = lambda x: stdout.write(str(x)) inn = lambda : int(input()) inl = lambda: list(map(int, input().split())) inm = lambda: map(int, input().split()) ins = lambda : input().strip() DBG = True # and False BIG = 999999999 R = 10**9 + 7 def ddprint(x): if DBG: print(x) def modinv2(x,r): return pow(x,r-2,r) def f(r,c): d = c prod = 1 div = 1 divacc = 1 for i in range(r-1): prod = (prod*d)%R divacc = (divacc*div)%R d += 1 div += 1 ret = (prod*modinv2(divacc,R))%R #ddprint("f r {} c {} ret {}".format(r,c,ret)) return ret r1,c1,r2,c2 = inm() r1 += 1 c1 += 1 r2 += 1 c2 += 1 print((f(r2+1,c2+1)-f(r2+1,c1)-f(r1,c2+1)+f(r1,c1))%R)
[ "call.arguments.change", "call.arguments.add" ]
581,965
581,966
u102445737
python
p02782
r1,c1,r2,c2 = map(int,input().split()) # 二項係数 mod P mod = 10**9+7 m = r2+c2 +10 fac = [1]*m ninv = [1]*m finv = [1]*m for i in range(2,m): fac[i] = fac[i-1]*i%mod ninv[i] = (-(mod//i)*ninv[mod%i])%mod finv[i] = finv[i-1]*ninv[i]%mod def comb(n,k): return (fac[n]*finv[k]%mod)*finv[n-k]%mod def g(r,c): ret = 0 for i in range(0,r+1): ret += comb(i+c+1,i+1) ret %= mod return ret ans = g(r2,c2) - g(r1-1,c2) - g(r2,c1-1) + g(r1-1,c1-1) print(ans)
r1,c1,r2,c2 = map(int,input().split()) # 二項係数 mod P mod = 10**9+7 m = r2+c2 +10 fac = [1]*m ninv = [1]*m finv = [1]*m for i in range(2,m): fac[i] = fac[i-1]*i%mod ninv[i] = (-(mod//i)*ninv[mod%i])%mod finv[i] = finv[i-1]*ninv[i]%mod def comb(n,k): return (fac[n]*finv[k]%mod)*finv[n-k]%mod def g(r,c): ret = 0 for i in range(0,r+1): ret += comb(i+c+1,i+1) ret %= mod return ret ans = (g(r2,c2) - g(r1-1,c2) - g(r2,c1-1) + g(r1-1,c1-1))%mod print(ans)
[ "assignment.change" ]
582,042
582,043
u391731808
python
p02782
bikkuri = [1] mod = 10**9+7 for i in range(1,2*10**6+1000): bikkuri.append((bikkuri[-1]*i)%mod) r1,c1,r2,c2 = map(int,input().split()) def F(r,c): tmp = (bikkuri[r+c+2]*pow(bikkuri[c+1],mod-2,mod)*pow(bikkuri[r+1],mod-2,mod) - 1)%mod return tmp ans = F(r2,c2)-F(r1-1,c2)-F(r2,c1-1)+F(r1-1,c1-1) print(ans)
bikkuri = [1] mod = 10**9+7 for i in range(1,2*10**6+1000): bikkuri.append((bikkuri[-1]*i)%mod) r1,c1,r2,c2 = map(int,input().split()) def F(r,c): tmp = (bikkuri[r+c+2]*pow(bikkuri[c+1],mod-2,mod)*pow(bikkuri[r+1],mod-2,mod) - 1)%mod return tmp ans = (F(r2,c2)-F(r1-1,c2)-F(r2,c1-1)+F(r1-1,c1-1))%mod print(ans)
[ "assignment.change" ]
582,059
582,060
u980322611
python
p02782
MOD = 10 ** 9 + 7 FACT_MAX = 2 * 10 ** 6 + 3 fact = [1] * FACT_MAX for i in range(1, FACT_MAX): fact[i] = fact[i - 1] * i % MOD def comb(n, r): return fact[n] * pow(fact[n - r], MOD - 2, MOD) * pow(fact[r], MOD - 2, MOD) def g(r, c): return (comb(r + c + 2, c + 1) - 1) % MOD r1, c1, r2, c2 = map(int, input().split()) print(g(r2, c2) - g(r2, c1 - 1) - g(r1 - 1, c2) + g(r1 - 1, c1 - 1))
MOD = 10 ** 9 + 7 FACT_MAX = 2 * 10 ** 6 + 3 fact = [1] * FACT_MAX for i in range(1, FACT_MAX): fact[i] = fact[i - 1] * i % MOD def comb(n, r): return fact[n] * pow(fact[n - r], MOD - 2, MOD) * pow(fact[r], MOD - 2, MOD) def g(r, c): return (comb(r + c + 2, c + 1) - 1) % MOD r1, c1, r2, c2 = map(int, input().split()) print((g(r2, c2) - g(r2, c1 - 1) - g(r1 - 1, c2) + g(r1 - 1, c1 - 1)) % MOD)
[ "call.arguments.change", "call.arguments.add" ]
582,214
582,215
u638282348
python
p02782
import sys input = sys.stdin.buffer.readline def main(): a,b,c,d = map(int,input().split()) MOD = 10**9+7 N = c+d+5 fac = [0 for _ in range(N+1)] fac[0],fac[1] = 1,1 for i in range(2,N+1): fac[i] = (fac[i-1]*i)%MOD def comb(x,y): return (fac[x+y]*pow(fac[x],MOD-2,MOD)*pow(fac[y],MOD-2,MOD))%MOD print((comb(c+1,d+1)-comb(c+1,b)-comb(d+1,a)+comb(a,b))%MOD) if _name_ == "_main_": main()
import sys import math input = sys.stdin.buffer.readline def main(): a,b,c,d = map(int,input().split()) MOD = 10**9+7 N = c+d+5 fac = [0 for _ in range(N+1)] fac[0],fac[1] = 1,1 for i in range(2,N+1): fac[i] = (fac[i-1]*i)%MOD def comb(x,y): return (fac[x+y]*pow(fac[x],MOD-2,MOD)*pow(fac[y],MOD-2,MOD))%MOD print((comb(c+1,d+1)-comb(c+1,b)-comb(d+1,a)+comb(a,b))%MOD) if __name__ == "__main__": main()
[ "identifier.change", "control_flow.branch.if.condition.change", "literal.string.change" ]
582,247
582,248
u816631826
python
p02782
import sys input = sys.stdin.buffer.readline def main(): a,b,c,d = map(int,input().split()) MOD = 10**9+7 N = c+d+5 fac = [0 for _ in range(N+1)] fac[0],fac[1] = 1,1 for i in range(2,N+1): fac[i] = (fac[i-1]*i)%MOD def comb(x,y): return (fac[x+y]*pow(fac[x],MOD-2,MOD)*pow(fac[y],MOD-2,MOD))%MOD print(comb(c+1,d+1)-comb(c+1,b)-comb(d+1,a)+comb(a,b)) if __name__ == "__main__": main()
import sys input = sys.stdin.buffer.readline def main(): a,b,c,d = map(int,input().split()) MOD = 10**9+7 N = c+d+5 fac = [0 for _ in range(N+1)] fac[0],fac[1] = 1,1 for i in range(2,N+1): fac[i] = (fac[i-1]*i)%MOD def comb(x,y): return (fac[x+y]*pow(fac[x],MOD-2,MOD)*pow(fac[y],MOD-2,MOD))%MOD print((comb(c+1,d+1)-comb(c+1,b)-comb(d+1,a)+comb(a,b))%MOD) if __name__ == "__main__": main()
[ "call.arguments.change", "call.arguments.add" ]
582,276
582,277
u648212584
python
p02782
r1,c1,r2,c2=map(int,input().split()) r2+=1 c2+=1 N=2*(10**6) mod=10**9+7 fac=[1]*(N+2) inv=[1]*(N+2) t=1 for i in range(1,N+2): t*=i t%=mod fac[i]=t t=pow(fac[N+1],mod-2,mod) for i in range(N+1,0,-1): inv[i]=t t*=i t%=mod def comb(n,r): return fac[n]*inv[n-r]*inv[r]%mod print(comb(r2+c2,c2)-comb(r2+c1,c1)-comb(r1+c2,c2)+comb(r1+c1,c1))
r1,c1,r2,c2=map(int,input().split()) r2+=1 c2+=1 N=2*(10**6)+2 mod=10**9+7 fac=[1]*(N+2) inv=[1]*(N+2) t=1 for i in range(1,N+2): t*=i t%=mod fac[i]=t t=pow(fac[N+1],mod-2,mod) for i in range(N+1,0,-1): inv[i]=t t*=i t%=mod def comb(n,r): return fac[n]*inv[n-r]*inv[r]%mod print((comb(r2+c2,c2)-comb(r2+c1,c1)-comb(r1+c2,c2)+comb(r1+c1,c1))%mod)
[ "call.arguments.change", "call.arguments.add" ]
582,289
582,290
u065446124
python
p02782
import sys readline = sys.stdin.buffer.readline r1,c1,r2,c2 = map(int,readline().split()) mod = 10**9+7 def pow(n,p,mod=10**9+7): #繰り返し二乗法(nのp乗) res = 1 while p > 0: if p % 2 == 0: n = n ** 2 % mod p //= 2 else: res = res * n % mod p -= 1 return res % mod def factrial_memo(n=20**6+1,mod=10**9+7): fact = [1, 1] for i in range(2, n + 1): fact.append((fact[-1] * i) % mod) return fact def fermat_cmb(n, r, mod=10**9+7): #needs pow,factrial_memo(only fact). return nCk return fact[n] * pow(fact[r],mod-2) * pow(fact[n-r],mod-2) %mod fact = factrial_memo() r1,c1,r2,c2 = r1+1,c1+1,r2+1,c2+1 al = fermat_cmb(r2+c2,r2) sub_r = fermat_cmb(r1-1+c2,r1-1) sub_c = fermat_cmb(r2+c1-1,c1-1) add_rc = fermat_cmb(r1-1+c1-1,r1-1) al -= sub_r+sub_c al += add_rc print(al%mod)
import sys readline = sys.stdin.buffer.readline r1,c1,r2,c2 = map(int,readline().split()) mod = 10**9+7 def pow(n,p,mod=10**9+7): #繰り返し二乗法(nのp乗) res = 1 while p > 0: if p % 2 == 0: n = n ** 2 % mod p //= 2 else: res = res * n % mod p -= 1 return res % mod def factrial_memo(n=3*10**6+1,mod=10**9+7): fact = [1, 1] for i in range(2, n + 1): fact.append((fact[-1] * i) % mod) return fact def fermat_cmb(n, r, mod=10**9+7): #needs pow,factrial_memo(only fact). return nCk return fact[n] * pow(fact[r],mod-2) * pow(fact[n-r],mod-2) %mod fact = factrial_memo() r1,c1,r2,c2 = r1+1,c1+1,r2+1,c2+1 al = fermat_cmb(r2+c2,r2) sub_r = fermat_cmb(r1-1+c2,r1-1) sub_c = fermat_cmb(r2+c1-1,c1-1) add_rc = fermat_cmb(r1-1+c1-1,r1-1) al -= sub_r+sub_c al += add_rc print(al%mod)
[ "literal.number.integer.change", "expression.operation.binary.change" ]
582,346
582,345
u372144784
python
p02782
r1,c1,r2,c2=map(int,input().split()) MOD=10**9+7 idx=r2+c2+2 perm=[1]*(idx+1) perm_inv=[1]*(idx+1) for i in range(1,idx+1): perm[i]=perm[i-1]*i perm[i]%=MOD def inv_mod(a): return pow(a,MOD-2,MOD) perm_inv[-1]=inv_mod(perm[-1]) for i in range(idx-1,-1,-1): perm_inv[i]=perm_inv[i+1]*(i+1) perm_inv[i]%=MOD def comb(i,j): buf=perm[i+j+2] buf*=perm_inv[i+1] buf%=MOD buf*=perm_inv[j+1] buf%=MOD return buf res=comb(r2,c2) res-=comb(r2,c1-1) res-=comb(r1-1,c2) res+=comb(r1-1,c1-1) print(res)
r1,c1,r2,c2=map(int,input().split()) MOD=10**9+7 idx=r2+c2+2 perm=[1]*(idx+1) perm_inv=[1]*(idx+1) for i in range(1,idx+1): perm[i]=perm[i-1]*i perm[i]%=MOD def inv_mod(a): return pow(a,MOD-2,MOD) perm_inv[-1]=inv_mod(perm[-1]) for i in range(idx-1,-1,-1): perm_inv[i]=perm_inv[i+1]*(i+1) perm_inv[i]%=MOD def comb(i,j): buf=perm[i+j+2] buf*=perm_inv[i+1] buf%=MOD buf*=perm_inv[j+1] buf%=MOD return buf res=comb(r2,c2) res-=comb(r2,c1-1) res-=comb(r1-1,c2) res+=comb(r1-1,c1-1) print(res%MOD)
[ "expression.operation.binary.add" ]
582,462
582,463
u492026192
python
p02782
r1,c1,r2,c2=map(int,input().split()) MOD=10**9+7 idx=r2+c2+3 perm=[1]*(idx+1) for i in range(1,idx+1): perm[i]=perm[i-1]*i perm[i]%=MOD def inv_mod(a): return pow(a,MOD-2,MOD) def comb(n,m,p=10**9+7): if n < m : return 0 if n < 0 or m < 0:return 0 m = min(m, n-m) top = bot = 1 for i in range(m): top = top*(n-i) % p bot = bot*(i+1) % p bot = pow(bot, p-2, p) return top*bot % p def g(i,j): return comb(i+j+2,i+1,MOD) def s(n,m): return comb(n+m+2, m+1, MOD) res=g(r2,c2)-g(r2,c1-1)-g(r1-1,c2)+g(r1-1,c1-1) ans = s(r2,c2) - s(r2, c1-1) - s(r1-1, c2) + s(r1-1, c1-1) ans %= MOD print(res)
r1,c1,r2,c2=map(int,input().split()) MOD=10**9+7 idx=r2+c2+3 perm=[1]*(idx+1) for i in range(1,idx+1): perm[i]=perm[i-1]*i perm[i]%=MOD def inv_mod(a): return pow(a,MOD-2,MOD) def comb(n,m,p=10**9+7): if n < m : return 0 if n < 0 or m < 0:return 0 m = min(m, n-m) top = bot = 1 for i in range(m): top = top*(n-i) % p bot = bot*(i+1) % p bot = pow(bot, p-2, p) return top*bot % p def g(i,j): return comb(i+j+2,i+1,MOD) def s(n,m): return comb(n+m+2, m+1, MOD) res=g(r2,c2)-g(r2,c1-1)-g(r1-1,c2)+g(r1-1,c1-1) res%=MOD ans = s(r2,c2) - s(r2, c1-1) - s(r1-1, c2) + s(r1-1, c1-1) ans %= MOD print(res)
[]
582,464
582,465
u492026192
python
p02782
m = 1000000007 r1, c1, r2, c2 = map(int, input().split()) nf = 10 ** 6 * 2 + 100 fact = [0] * (nf + 1) fact[0] = 1 for i in range(nf): fact[i + 1] = fact[i] * (i + 1) % m def F(r, c): path = (fact[r + c + 2] % m) * pow(fact[r + 1] * fact[c + 1], m - 2, m) % m return path - 1 r1 -= 1 c1 -= 1 ans = F(r2, c2) ans -= F(r1, c2) ans -= F(r2, c1) ans += F(r1, c1) print(ans)
m = 1000000007 r1, c1, r2, c2 = map(int, input().split()) nf = 10 ** 6 * 2 + 100 fact = [0] * (nf + 1) fact[0] = 1 for i in range(nf): fact[i + 1] = fact[i] * (i + 1) % m def F(r, c): path = (fact[r + c + 2] % m) * pow(fact[r + 1] * fact[c + 1], m - 2, m) % m return path - 1 r1 -= 1 c1 -= 1 ans = F(r2, c2) ans -= F(r1, c2) ans -= F(r2, c1) ans += F(r1, c1) ans = ans % m print(ans)
[ "assignment.add" ]
582,466
582,467
u325956328
python
p02782
#input r_1, c_1, r_2, c_2 = map(int, input().split()) #output mod = 10**9 + 7 n_ = 10**7 + 3 fun = [1]*(n_+1) for i in range(1,n_+1): fun[i] = fun[i-1]*i%mod rev = [1]*(n_+1) rev[n_] = pow(fun[n_],mod-2,mod) for i in range(n_-1,0,-1): rev[i] = rev[i+1]*(i+1)%mod def cmb(n,r): if n <= 0 or r < 0 or r > n: return 0 return fun[n]*rev[r]%mod*rev[n-r]%mod answer = 0 for j in range(c_1, c_2+1): answer += cmb(r_2+j+1, j+1) % mod - cmb(r_1+j, j+1) % mod print(answer % mod)
#input r_1, c_1, r_2, c_2 = map(int, input().split()) #output mod = 10**9 + 7 n_ = 2*10**6 + 1 fun = [1]*(n_+1) for i in range(1,n_+1): fun[i] = fun[i-1]*i%mod rev = [1]*(n_+1) rev[n_] = pow(fun[n_],mod-2,mod) for i in range(n_-1,0,-1): rev[i] = rev[i+1]*(i+1)%mod def cmb(n,r): if n <= 0 or r < 0 or r > n: return 0 return fun[n]*rev[r]%mod*rev[n-r]%mod answer = 0 for j in range(c_1, c_2+1): answer += cmb(r_2+j+1, j+1) % mod - cmb(r_1+j, j+1) % mod print(answer % mod)
[ "literal.number.integer.change", "assignment.value.change", "expression.operation.binary.change" ]
582,512
582,513
u461454424
python
p02782
#input r_1, c_1, r_2, c_2 = map(int, input().split()) #output mod = 10**9 + 7 n_ = 10**10 + 3 fun = [1]*(n_+1) for i in range(1,n_+1): fun[i] = fun[i-1]*i%mod rev = [1]*(n_+1) rev[n_] = pow(fun[n_],mod-2,mod) for i in range(n_-1,0,-1): rev[i] = rev[i+1]*(i+1)%mod def cmb(n,r): if n <= 0 or r < 0 or r > n: return 0 return fun[n]*rev[r]%mod*rev[n-r]%mod answer = 0 for j in range(c_1, c_2+1): answer += cmb(r_2+j+1, j+1) % mod - cmb(r_1+j, j+1) % mod print(answer % mod)
#input r_1, c_1, r_2, c_2 = map(int, input().split()) #output mod = 10**9 + 7 n_ = 2*10**6 + 1 fun = [1]*(n_+1) for i in range(1,n_+1): fun[i] = fun[i-1]*i%mod rev = [1]*(n_+1) rev[n_] = pow(fun[n_],mod-2,mod) for i in range(n_-1,0,-1): rev[i] = rev[i+1]*(i+1)%mod def cmb(n,r): if n <= 0 or r < 0 or r > n: return 0 return fun[n]*rev[r]%mod*rev[n-r]%mod answer = 0 for j in range(c_1, c_2+1): answer += cmb(r_2+j+1, j+1) % mod - cmb(r_1+j, j+1) % mod print(answer % mod)
[ "literal.number.integer.change", "assignment.value.change", "expression.operation.binary.change" ]
582,514
582,513
u461454424
python
p02782
import sys import numpy as np sys.setrecursionlimit(10 ** 7) r1, c1, r2, c2 = map(int, input().split()) # 階乗、Combinationコンビネーション(numpyを使う) def cumprod(arr, MOD): L = len(arr) Lsq = int(L**.5+1) arr = np.resize(arr, Lsq**2).reshape(Lsq, Lsq) for n in range(1, Lsq): arr[:, n] *= arr[:, n-1] arr[:, n] %= MOD for n in range(1, Lsq): arr[n] *= arr[n-1, -1] arr[n] %= MOD return arr.ravel()[:L] def make_fact(U, MOD): x = np.arange(U, dtype=np.int64) x[0] = 1 fact = cumprod(x, MOD) x = np.arange(U, 0, -1, dtype=np.int64) x[0] = pow(int(fact[-1]), MOD-2, MOD) fact_inv = cumprod(x, MOD)[::-1] return fact, fact_inv MOD = 10 ** 9 + 7 U = 10**6 * 2 + 1 fact, fact_inv = make_fact(U, MOD) def mod_comb_k(n, k, mod): return fact[n] * fact_inv[k] % mod * fact_inv[n - k] % mod def calc_rc(r, c): a = mod_comb_k(r + c + 2, r + 1, MOD) b = 1 return a-b ans = calc_rc(r2, c2) + calc_rc(r1-1, c1-1) - \ calc_rc(r1-1, c2) - calc_rc(r2, c1-1) print(ans)
import sys import numpy as np sys.setrecursionlimit(10 ** 7) r1, c1, r2, c2 = map(int, input().split()) # 階乗、Combinationコンビネーション(numpyを使う) def cumprod(arr, MOD): L = len(arr) Lsq = int(L**.5+1) arr = np.resize(arr, Lsq**2).reshape(Lsq, Lsq) for n in range(1, Lsq): arr[:, n] *= arr[:, n-1] arr[:, n] %= MOD for n in range(1, Lsq): arr[n] *= arr[n-1, -1] arr[n] %= MOD return arr.ravel()[:L] def make_fact(U, MOD): x = np.arange(U, dtype=np.int64) x[0] = 1 fact = cumprod(x, MOD) x = np.arange(U, 0, -1, dtype=np.int64) x[0] = pow(int(fact[-1]), MOD-2, MOD) fact_inv = cumprod(x, MOD)[::-1] return fact, fact_inv MOD = 10 ** 9 + 7 U = 10**6 * 2 + 10 fact, fact_inv = make_fact(U, MOD) def mod_comb_k(n, k, mod): return fact[n] * fact_inv[k] % mod * fact_inv[n - k] % mod def calc_rc(r, c): a = mod_comb_k(r + c + 2, r + 1, MOD) b = 1 return a-b ans = calc_rc(r2, c2) + calc_rc(r1-1, c1-1) - \ calc_rc(r1-1, c2) - calc_rc(r2, c1-1) ans %= MOD print(ans)
[ "literal.number.integer.change", "assignment.value.change", "expression.operation.binary.change" ]
582,523
582,522
u593567568
python
p02783
h,a=map(int,input.split()) cnt=0 while True: h-=a cnt+=1 if h<=0: break print(cnt)
h,a=map(int,input().split()) cnt=0 while True: h-=a cnt+=1 if h<=0: break print(cnt)
[ "call.add" ]
582,566
582,567
u243159381
python
p02783
H,A = map(int(),input().split) print(H//A if H%A == 0 else H//A+1)
H,A = map(int,input().split()) print(H//A if H%A == 0 else H//A+1)
[ "call.arguments.change", "call.add" ]
582,572
582,573
u288980918
python
p02783
a,b=list(map(int,input().split())) count=0 while (a<0): count+=1 a-=b print(count)
a,b=list(map(int,input().split())) count=0 while (a>0): count+=1 a-=b print(count)
[ "misc.opposites", "expression.operator.compare.change", "control_flow.loop.condition.change" ]
582,584
582,585
u754511616
python
p02783
a,b=list(map(int,input())) count=0 while (a<0): count+=1 a-=b print(count)
a,b=list(map(int,input().split())) count=0 while (a>0): count+=1 a-=b print(count)
[ "call.add", "misc.opposites", "expression.operator.compare.change", "control_flow.loop.condition.change" ]
582,586
582,585
u754511616
python
p02783
tmp = input().split(" ") HP = int(tmp[0]) attack = int(tmp[1]) print(math.ceil(HP/attack))
import math tmp = input().split(" ") HP = int(tmp[0]) attack = int(tmp[1]) print(math.ceil(HP/attack))
[]
582,587
582,588
u739843002
python
p02783
H,A = map(int,input().split()) answer = H // A if answer == 0: answer += 1 print(answer)
H,A = map(int,input().split()) answer = H // A + 1 if H % A == 0: answer -= 1 print(answer)
[ "control_flow.branch.if.condition.change", "expression.operator.change" ]
582,595
582,596
u732061897
python
p02783
import math #h = int(input()) #a = int(input()) h,a = map(int,input().split()) print(math.ceil((h+a)/a))
import math #h = int(input()) #a = int(input()) h,a = map(int,input().split()) print(math.ceil((h)/a))
[ "expression.operation.binary.remove" ]
582,597
582,598
u704411633
python
p02783
INPUT = list(input().split()) H = INT(INPUT[0]) A = INT(INPUT[1]) if H%A == 0: print(H//A) else: print(H//A + 1)
INPUT = list(input().split()) H = int(INPUT[0]) A = int(INPUT[1]) if H%A == 0: print(H//A) else: print(H//A + 1)
[ "assignment.value.change", "identifier.change", "call.function.change" ]
582,599
582,600
u893418950
python
p02783
H,A=map(int, input().split()) print(math.ceil(H/A))
import math H,A=map(int, input().split()) print(math.ceil(H/A))
[]
582,603
582,604
u799428010
python
p02783
H, A =map(int,input().split()) T = 0 while H <= 0: H -= A T += 1 print(T)
H, A =map(int,input().split()) T = 0 while H > 0: H -= A T += 1 print(T)
[ "expression.operator.compare.change", "control_flow.loop.condition.change" ]
582,607
582,608
u272457181
python
p02783
h,a = map(int,input().split()) counter = 0 while h >= 0: h -= a counter +=1 print(counter)
h,a = map(int,input().split()) counter = 0 while h > 0: h -= a counter += 1 print(counter)
[ "expression.operator.compare.change", "control_flow.loop.condition.change" ]
582,609
582,610
u598684283
python
p02783
H, A = map(int, input().split()) i = 0 while H>=0: H = H-A i += 1 print(i)
H, A = map(int, input().split()) i = 0 while H >= 1: H = H-A i += 1 print(i)
[ "literal.number.integer.change", "control_flow.loop.condition.change" ]
582,617
582,618
u710398282
python
p02783
h, a = map(int, input().split()) count = 0 while h >= 0: h -= a count += 1 print(count)
h, a = map(int, input().split()) count = 0 while h > 0: h -= a count += 1 print(count)
[ "expression.operator.compare.change", "control_flow.loop.condition.change" ]
582,625
582,626
u125269142
python
p02783
h,a=map(int,input().split()) ans=0 while h>=0: h-=a ans+=1 print(ans)
h,a=map(int,input().split()) ans=0 while h>0: h-=a ans+=1 print(ans)
[ "expression.operator.compare.change", "control_flow.loop.condition.change" ]
582,631
582,632
u486773779
python