Harryxun/stf_run huggingface dataset:
B=[]
for i in range(3):
    A=list(map(int,input().split()))
    B.append(A[0])
    B.append(A[1])
    B.append(A[2])
N=int(input())
for j in range(N):
    b=int(input())
    if b in B:
        B[B.index(b)]=0
if B[0],B[1],B[2]==0,0,0:
    print('Yes')
elif B[3],B[4],B[5]==0,0,0:
    print('Yes')
elif B[6],B[7],B[8]==0,0,0:
    print('Yes')
elif B[0],B[3],B[6]==0,0,0:
    print('Yes')
elif B[1],B[4],B[7]==0,0,0:
    print('Yes')
elif B[2],B[5],B[8]==0,0,0:
    print('Yes')
elif B[0],B[4],B[8]==0,0,0:
    print('Yes')
elif B[2],B[4],B[6]==0,0,0:
    print('Yes')
else:
    print('No')

### FIXED CODE ###

B=[]
for i in range(3):
    A=list(map(int,input().split()))
    B.append(A[0])
    B.append(A[1])
    B.append(A[2])
N=int(input())
for j in range(N):
    b=int(input())
    if b in B:
        B[B.index(b)]=0
if B[0]==0 and B[1]==0 and B[2]==0:
    print('Yes')
elif B[3]==0 and B[4]==0 and B[5]==0:
    print('Yes')
elif B[6]==0 and B[7]==0 and B[8]==0:
    print('Yes')
elif B[0]==0 and B[3]==0 and B[6]==0:
    print('Yes')
elif B[1]==0 and B[4]==0 and B[7]==0:
    print('Yes')
elif B[2]==0 and B[5]==0 and B[8]==0:
    print('Yes')
elif B[0]==0 and B[4]==0 and B[8]==0:
    print('Yes')
elif B[2]==0 and B[4]==0 and B[6]==0:
    print('Yes')
else:
    print('No')
N,M=map(int,input().split())
G1=[[] for i in range(N)]
G2=[[] for i in range(N)]
not_root=[False]*N
for i in range(N+M-1):
  a,b=map(int,input().split())
  G1[a-1].append(b-1)
  G2[b-1].append(a-1)
  not_root[b-1]=True
for i in range(N):
  if not not_root[i]:
    root=i
    break
Tree=[-2]*N
Tree[root]=-1
def dfs(x):
  for b in G1[x]:
    if Tree[b]>=-1:
      continue
    flag=0
    for a in G2[b]:
      if Tree[a]<-1:
        flag=1
        break
    if flag==0:
      Tree[b]=x
      dfs(b)
dfs(root)
for i in range(N):
  print(Tree[i]+1)
  

### FIXED CODE ###

import sys
sys.setrecursionlimit(10**8)
N,M=map(int,input().split())
G1=[[] for i in range(N)]
G2=[[] for i in range(N)]
not_root=[False]*N
for i in range(N+M-1):
  a,b=map(int,input().split())
  G1[a-1].append(b-1)
  G2[b-1].append(a-1)
  not_root[b-1]=True
for i in range(N):
  if not not_root[i]:
    root=i
    break
Tree=[-2]*N
Tree[root]=-1
def dfs(x):
  for b in G1[x]:
    if Tree[b]>=-1:
      continue
    flag=0
    for a in G2[b]:
      if Tree[a]<-1:
        flag=1
        break
    if flag==0:
      Tree[b]=x
      dfs(b)
dfs(root)
for i in range(N):
  print(Tree[i]+1)
from math import gcd
K = int(iniput())
sum_gcd = [0]*201
ans = 0
 
for i in range(1,K+1):
  for j in range(1,K+1):
    sum_gcd[gcd(i,j)] += 1
for i in range(1,K+1):
  for k in range(1,K+1):
    ans += sum_gcd[i]*gcd(i,k)
 
print(ans)

### FIXED CODE ###

from math import gcd
K = int(input())
sum_gcd = [0]*201
ans = 0
 
for i in range(1,K+1):
  for j in range(1,K+1):
    sum_gcd[gcd(i,j)] += 1
for i in range(1,K+1):
  for k in range(1,K+1):
    ans += sum_gcd[i]*gcd(i,k)

print(ans)
lst = list(map(int, input().split()))
for i in lst.sort():
  print('{}'.format(i), end='')

### FIXED CODE ###

lst = list(map(int, input().split()))
for i, data in enumerate(sorted(lst)):
    if not i == len(lst)-1:
        print('{} '.format(data), end='')
    else:
        print('{}'.format(data))
import sys
input = sys.stdin.buffer.readline

h, w, m = map(int, input().split())
mapa = [[0]*w for i in range(h)]
strings = [[0, i+1] for i in range(h)]
rows = [[0, i+1] for i in range(w)]
maxs = 0
maxr = 0
for i in range(m):
    h1, w1 = map(int, input().split())
    mapa[h1-1][w1-1] = 1
    strings[h1-1][0] += 1
    rows[w1-1][0] += 1
    if strings[h1-1][0] > maxs:
        maxs = strings[h1-1][0]
    if rows[w1-1][0] > maxr:
        maxr = rows[h1-1][0]
summa = maxs + maxr - 1
for i in range(h):
    if strings[i][0] == maxs:
        for j in range(w):
            if rows[j][0] == maxr:
                x = maxs + maxr
                if mapa[strings[i][1]-1][rows[j][1]-1] == 1:
                    x -= 1
                if x > summa:
                    summa = x
                    print(summa)
                    exit()
print(summa)


### FIXED CODE ###

def main():
    h, w, m = map(int, input().split())
    mapa = {}
    strings = [0]*h
    rows = [0]*w
    for _ in range(m):
        h1, w1 = map(int, input().split())
        if not mapa.get(h1-1, 0):
            mapa[h1-1] = []
        mapa[h1-1].append(w1-1)
        strings[h1-1] += 1
        rows[w1-1] += 1
    
    max_s = max(strings)
    max_r = max(rows)
    strings_max = []
    rows_max = []
    for i in range(h):
        if strings[i] == max_s:
            strings_max.append(i)
    for i in range(w):
        if rows[i] == max_r:
            rows_max.append(i)
    
    forbidden_positions = set(mapa[strings_max[0]])
    for item in strings_max[1:]:
        forbidden_positions.intersection_update(set(mapa[item]))

    answer_set = set(rows_max).difference(forbidden_positions)
    if answer_set:
        print(max_s + max_r)
    else:
        print(max_s + max_r - 1)

main()
#!/usr/bin/env python
# -*- coding: utf-8 -*-

import sys


def assign_color():
    _id = 1
    for m in range(vertices_num):
        if vertices_status_list[m] == -1:
            graph_dfs(m, _id)
            _id += 1
    return None


def graph_dfs(vertex, color):
    vertices_stack = list()
    vertices_stack.append(vertex)
    vertices_status_list[vertex] = color
    while vertices_stack:
        current_vertex = vertices_stack[-1]
        vertices_stack.pop()
        for v in adj_list[current_vertex]:
            if vertices_status_list[v] == -1:
                vertices_status_list[v] = color
                vertices_stack.append(v)
    return None


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    vertices_num, relation_num = map(int, _input[0].split())

    relation_info = _input[1:relation_num + 1]

    question_num = int(_input[relation_num + 1])
    question_list = _input[relation_num + 2:]

    adj_list = [[] for _ in range(vertices_num)]
    vertices_status_list = [-1] * vertices_num

    for relation in relation_info:
        key, value = int(relation[0]), int(relation[2])
        adj_list[key].append(value)
        adj_list[value].append(key)

    assign_color()

    # print(adj_list)
    for question in question_list:
        start, target = int(question[0]), int(question[2])
        if vertices_status_list[start] == vertices_status_list[target]:
            print("yes")
        else:
            print("no")

### FIXED CODE ###

#!/usr/bin/env python
# -*- coding: utf-8 -*-

"""
input:
10 9
0 1
0 2
3 4
5 7
5 6
6 7
6 8
7 8
8 9
3
0 1
5 9
1 3

output:
yes
yes
no

"""

import sys


def assign_color():
    v_color = 0
    for v in range(v_num):
        if color[v] == -1:
            graph_dfs(v, v_color)
            # use int as color to represent different connected groups
            v_color += 1
    return None


def graph_dfs(current, v_color):
    stack = list()
    stack.append(current)
    color[current] = v_color

    while stack:
        current = stack.pop()
        for adj in adj_table[current]:
            if color[adj] == -1:
                color[adj] = v_color
                stack.append(adj)
    return None


def solve():
    for edge in edges:
        source, target = map(int, edge)
        adj_table[source].append(target)
        adj_table[target].append(source)

    assign_color()

    for question in questions:
        q_source, q_target = map(int, question)
        if color[q_source] == color[q_target]:
            print("yes")
        else:
            print("no")

    return color


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    v_num, r_num = map(int, _input[0].split())

    edges = map(lambda x: x.split(), _input[1:r_num + 1])

    q_num = int(_input[r_num + 1])
    questions = map(lambda x: x.split(), _input[r_num + 2:])

    adj_table = tuple([] for _ in range(v_num))
    color = [-1] * v_num
    ans = solve()
N, L, T=map(int, input().split())
XW=[list(map(int, input().split())) for _ in range(N)]
X_=[(XW[i][0]+T)%L if XW[i][1]==1 else (XW[i][0]-T)%L for i in range(N)]
X_.sort()
A0_=(XW[0][0]+T)%L if XW[0][1]==1 else (XW[0][0]-T)%L
P0_=X_.index(A0_)
if P0_>0:
    X_=X_[P0_:]+X_[:P0_]
    
if XW[0][1]==1:
    C0_=round(sum([(T-(XW[i][0]-XW[0][0])/2)//(L/2)+1 if XW[i][1]!=1 and (XW[i][0]-XW[0][0])/2<=T else 0 for i in range(1, N)])%N)
else:
    C0_=round(N-sum([(T-(XW[0][0]+L-XW[i][0])/2)//(L/2)+1 if XW[i][1]!=2 and (XW[0][0]+L-XW[i][0])/2<=T else 0 for i in range(1, N)])%N)
    
if X_[0]==X_[1] and XW[0][1]==1:
  C0_=round((C0_-1)%N)
'''
if C0_>0:
  X_=X_[N-C0_:]+X_[:N-C0_]
'''
print(*X_, sep='\n')

### FIXED CODE ###

N, L, T=map(int, input().split())
XW=[list(map(int, input().split())) for _ in range(N)]
X_=[(XW[i][0]+T)%L if XW[i][1]==1 else (XW[i][0]-T)%L for i in range(N)]
X_.sort()
A0_=(XW[0][0]+T)%L if XW[0][1]==1 else (XW[0][0]-T)%L
P0_=X_.index(A0_)
if P0_>0:
    X_=X_[P0_:]+X_[:P0_]
    
if XW[0][1]==1:
    C0_=round(sum([(T-(XW[i][0]-XW[0][0])/2)//(L/2)+1 if XW[i][1]!=1 and (XW[i][0]-XW[0][0])/2<=T else 0 for i in range(1, N)])%N)
else:
    C0_=round(N-sum([(T-(XW[0][0]+L-XW[i][0])/2)//(L/2)+1 if XW[i][1]!=2 and (XW[0][0]+L-XW[i][0])/2<=T else 0 for i in range(1, N)])%N)
    
if N>1 and X_[0]==X_[1] and XW[0][1]==1:
  C0_=round((C0_-1)%N)

if C0_>0:
  X_=X_[N-C0_:]+X_[:N-C0_]

print(*X_, sep='\n')
import sys
sys.setrecursionlimit(10**6)
from math import floor,ceil,sqrt,factorial,log
from heapq import heappop, heappush, heappushpop
from collections import Counter,defaultdict,deque
from itertools import accumulate,permutations,combinations,product,combinations_with_replacement
from bisect import bisect_left,bisect_right
from copy import deepcopy
from operator import itemgetter
from fractions import gcd
mod = 10 ** 9 + 7
inf = float('inf')
ninf = -float('inf')
 
#整数input
def ii(): return int(sys.stdin.readline().rstrip()) #int(input())
def mii(): return map(int,sys.stdin.readline().rstrip().split())
def limii(): return list(mii()) #list(map(int,input().split()))
def lin(n:int): return [ii() for _ in range(n)]
def llint(n: int): return [limii() for _ in range(n)]
#文字列input
def ss(): return sys.stdin.readline().rstrip() #input()
def mss(): return sys.stdin.readline().rstrip().split()
def limss(): return list(mss()) #list(input().split())
def lst(n:int): return [ss() for _ in range(n)]
def llstr(n: int): return [limss() for _ in range(n)]

#本当に貪欲法か？ DP法では？？
#本当に貪欲法か？ DP法では？？
#本当に貪欲法か？ DP法では？？

n,q=mii()
mat = [[] for _ in range(n)]

for i in range(n-1):
    mat[a-1].append(b-1)

cnt=[0]*n

for i in range(q):
    p,x=mii()
    cnt[p-1]+=x

ans=[0]*n

def dfs(point,now,parent):
    ans[now]+=point+cnt[now]

    for visit in mat[now]:
        if visit==parent:continue
        dfs(ans[now],visit,now)

print(ans)

### FIXED CODE ###

import sys
sys.setrecursionlimit(10**6)
from math import floor,ceil,sqrt,factorial,log
from heapq import heappop, heappush, heappushpop
from collections import Counter,defaultdict,deque
from itertools import accumulate,permutations,combinations,product,combinations_with_replacement
from bisect import bisect_left,bisect_right
from copy import deepcopy
from operator import itemgetter
from fractions import gcd
mod = 10 ** 9 + 7
inf = float('inf')
ninf = -float('inf')
 
#整数input
def ii(): return int(sys.stdin.readline().rstrip()) #int(input())
def mii(): return map(int,sys.stdin.readline().rstrip().split())
def limii(): return list(mii()) #list(map(int,input().split()))
def lin(n:int): return [ii() for _ in range(n)]
def llint(n: int): return [limii() for _ in range(n)]
#文字列input
def ss(): return sys.stdin.readline().rstrip() #input()
def mss(): return sys.stdin.readline().rstrip().split()
def limss(): return list(mss()) #list(input().split())
def lst(n:int): return [ss() for _ in range(n)]
def llstr(n: int): return [limss() for _ in range(n)]

#本当に貪欲法か？ DP法では？？
#本当に貪欲法か？ DP法では？？
#本当に貪欲法か？ DP法では？？

n,q=mii()
mat = [[] for _ in range(n)]

for i in range(n-1):
    a,b=mii()
    mat[a-1].append(b-1)
    mat[b-1].append(a-1)
cnt=[0]*n

for i in range(q):
    p,x=mii()
    cnt[p-1]+=x

ans=[0]*n

def dfs(point,now,parent):
    point+=cnt[now]
    ans[now]=point
    for visit in mat[now]:
        if visit==parent:continue
        dfs(ans[now],visit,now)
dfs(0,0,0)
for i in ans:
    print(i)
A,B,C,D =map(int,input().split())
if A+B>C+D:
  print("Left")
else A+B=C+D
  print("Balanced")
else:
  print("Right")

### FIXED CODE ###

A,B,C,D =map(int,input().split())
if A+B>C+D:
  print("Left")
elif A+B==C+D:
  print("Balanced")
else:
  print("Right")
n = int(input())
a = int(input())
b = int(input())
if n == 1:
  print("Hello World")
elif n == 2:
  print(a+b)

### FIXED CODE ###

n = int(input())
if n == 1:
  print("Hello World")
else:
  a = int(input())
  b = int(input())
  print(a+b)
a = input().split()
        i = int(a[0])
        d = int(a[1])
        x = int(a[2])
        rd = d / x
        ri = (i - 1) / x
        if (ri < 0):
          ri = -1
        print(rd - ri)

### FIXED CODE ###

a = input().split()
i = int(a[0])
d = int(a[1])
x = int(a[2])
rd = d // x
ri = (i - 1) // x
if (ri < 0):
	ri = -1
print(rd - ri)
a,b = map(str,input().split())
a2 = int(a)
b2 = 100*int(b[0:1])+10*int(b[2:3])+int(b[3:4])
if b2 == 0:
    ans = 0
else:
    tmp = str(a2*b2)
    l = len(tmp)
    ans = int(tmp[0:l-2])
print(ans)

### FIXED CODE ###

a,b = map(str,input().split())
a2 = int(a)
b2 = 100*int(b[0:1])+10*int(b[2:3])+int(b[3:4])
if a2 == 0 or b2 == 0:
    ans = 0
else:
    tmp = str(a2*b2)
    l = len(tmp)
    if l <= 2:
        ans = 0
    else:
        ans = int(tmp[0:l-2])
print(ans)
s=input()
n=int(s)
c=0
for i in range(len(s)-3):
  for j in range(i,len(s)+1):
    m=int(int(n/(10**i))%(10**j))
    if m%2019==0 and m == 0:
      c+=1
print(c)

### FIXED CODE ###

S = input()
N = len(S)
A = [int(S[i]) for i in range(N)]
A = A[::-1]

MOD = 2019

p10 = [1] * N
for i in range(1, N):
	p10[i] = (p10[i - 1] * 10) % MOD

for i in range(N):
	A[i] = (A[i] * p10[i]) % MOD

cumsum = [A[0]] * N
for i in range(1, N):
	cumsum[i] = (cumsum[i - 1] + A[i]) % MOD

cnt = [0] * MOD
cnt[0] = 1
for i in range(N):
	cnt[cumsum[i]] += 1

ans = 0
for i in range(MOD):
	ans += cnt[i] * (cnt[i] - 1) // 2

print(ans)
ans=input()
n=int(input())
for i in range(n):
  t=input()
  if t=="1":
    ans=ans[::-1]
  else:
    if t[2]=="1":
      ans=t[4]+ans
    else:
      ans=ans+t[4]
print(ans)

### FIXED CODE ###

n=input()
if n[0]==n[1] and n[1]==n[2]:
  print("No")
else:
  print("Yes")
a,b,c,d = map(int, raw_input().split())


if abs(a-c)<=d:
    print("yes")
else:
    if (abs(a-b)<=d) and (abs(b-c)<=d):
        print("yes")
    else:
        print("no")


### FIXED CODE ###

a,b,c,d = map(int, input().split())

if abs(a-c)<=d:
    print("Yes")
else:
    if abs(a-b)<=d and abs(b-c)<=d:
        print("Yes")
    else:
        print("No")
n,a,b,c,d=map(int,input().split())
s=input()
for i in range(n-1):
	if s[i]==s[i+1]=="#":
		print("No")
		exit()
three=0
s="#"+s
for i in range(b,d+1)
	if s[i]==s[i+1]==s[i-1]==".":
		three=True
if c<d:
	print("Yes")
elif three==True:
	print("Yes")
else:
	print("No")

### FIXED CODE ###

n,a,b,c,d=map(int,input().split())
s=input()
for i in range(a,d-1):
	if s[i]==s[i+1]=="#":
		print("No")
		exit()
three=0
s="#"+s+"#"
for i in range(b,d+1):
	if s[i]==s[i+1]==s[i-1]==".":
		three=True
if c<d:
	print("Yes")
elif three==True:
	print("Yes")
else:
	print("No")
d = input()
a = int(input())
p = []
k = len(d)
for i in range(k):
  for j in range(min(6,k-i+1)):
    p.append(d[i:i+j])
    
x = list(set(p))
x.sort()
del x[0]
 
print(x[a-1])

### FIXED CODE ###

a = list(map(int,input().split()))
if (abs(a[0]-a[2]) <= a[3]) or ((abs(a[0] - a[1]) <= a[3]) and (abs(a[1] -a[2]) <= a[3])):
  print("Yes")
else:
  print("No")
n,t=map(int,input().split())
c=[list(map(int,input().split())) for i in range(n)]
d=list()
s1=0
s2=0
d=[[c[i][1]/c[i][0],c[i][0],c[i][1]] for i in range(n)]
d.sort()
for i in range(n):
  s2+=d[i][2]
  s1+=d[i][1]
  if s1>t-0.5:
    print(s2)
    exit()


### FIXED CODE ###

r=int(input())
print(r**2)
s = input()
s = sort.s

for i in range(1,len(s)):
    if s[i] == s[i-1]:
        print('no')
        exit()
print('yes')

### FIXED CODE ###

s = input()
t = set(s)
if len(s) == len(t):
    print('yes')
else:
    print('no')
import itertools
import numpy as np

N,M,X = map(int, input().split())
lista = [list(map(int,input().split())) for i in range(N)]

lista = np.array(lista)
judge = [X]*M
cost = 1200001
data = [a for a in range(1,N+1)] # [1,2,3,...,N]

for i in range(1,N+1):
  j = list(itertools.combinations(data, i))
  for k in j:
    result = np.array([0]*(M+1))
    for l in k:
      result = result + lista[l-1]
      if all(result[1:]>=judge):
        if reslut[0]<cost:
          cost = result[0]
          m = k
c = 0

try:
  for i in m:
    c +=lista[i-1][0]
    
  print(c)
  
except:
  print(-1)

### FIXED CODE ###

import itertools
import numpy as np

N,M,X = map(int, input().split())
lista = [list(map(int,input().split())) for i in range(N)]

lista = np.array(lista)
judge = [X]*M
cost = 120000000000
data = [a for a in range(1,N+1)] # [1,2,3,...,N]

for i in range(1,N+1):
    j = list(itertools.combinations(data, i))
    for k in j:
        result = np.array([0]*(M+1))
        for l in k:
            result = result + lista[l-1]
        if all(result[1:]>=judge):
            if result[0]<cost:
                cost = result[0]
                m = k
c = 0

try:
    for i in m:
        c +=lista[i-1][0]
    
    print(c)
except:
    print(-1)
from math import sqrt


def is_prime(n: int) -> bool:
    sq = int(sqrt(n))
    if sq * sq == n:
        return False

    for i in range(2, sq+1):
        if n % i == 0:
            return False
    return True


def primes(n: int) -> list:
    res = []

    if n < 2:
        return res
    res.append(2)

    if n < 3:
        return res
    res.append(3)

    for i in range(6, n+1, 6):
        if is_prime(i-1):
            res.append(i-1)

        if i + 1 > n:
            break

        if is_prime(i+1):
            res.append(i+1)

    return res


def five_five_everywhere(N: int) -> list:
    res = []
    count = 0
    for p in primes(55555):
        if p % 5 != 1:
            continue

        res.append(p)
        count += 1
        if count == N:
            return res

    return None


if __name__ == "__main__":
    N = int(input())
    ans = five_five_everywhere(N)
    print(' '.join(ans))


### FIXED CODE ###

from math import sqrt


def is_prime(n: int) -> bool:
    sq = int(sqrt(n))
    if sq * sq == n:
        return False

    for i in range(2, sq+1):
        if n % i == 0:
            return False
    return True


def primes(n: int) -> list:
    res = []

    if n < 2:
        return res
    res.append(2)

    if n < 3:
        return res
    res.append(3)

    for i in range(6, n+1, 6):
        if is_prime(i-1):
            res.append(i-1)

        if i + 1 > n:
            break

        if is_prime(i+1):
            res.append(i+1)

    return res


def five_five_everywhere(N: int) -> list:
    res = []
    count = 0
    for p in primes(55555):
        if p % 5 != 1:
            continue

        res.append(p)
        count += 1
        if count == N:
            return res

    return None


if __name__ == "__main__":
    N = int(input())
    ans = five_five_everywhere(N)
    print(' '.join(map(str, ans)))
import fractions
N = int(input())
ans = 1

def lcm(x,y):
    return (int(x*y/fractions.gcd(x,y)))

for i in range(N):
    ans = lcm(ans,int(input()))

print(ans)


### FIXED CODE ###

N = int(input())
ans = int(input())

def gcd(a,b):
    while b:
        a,b = b,a%b
    return a

def lcm(x,y):
    return (x*y//gcd(x,y))

for i in range(N-1):
    t = int(input())
    ans = lcm(ans,t)

print(ans)
#!/usr/bin/env python
n, m = list(map(int, input().split()))
c = list(map(int, input().split()))
DP = {}

def func(num, yen):
	if num < 0 or yen < 0:
		return 10 ** 18
	if num == 0 and yen == 0:
		return 0
	if not (num, yen) in DP:
		DP[(num, yen)] = min(func(num - 1, yen), func(num, yen - c[num]) + 1)
	return DP[(num, yen)]

print(func(m - 1, n))



### FIXED CODE ###

#!/usr/bin/env python
# -*- coding: utf-8 -*-

import itertools as ite
import math
import random
import sys
import codecs
from collections import defaultdict

sys.setrecursionlimit(1000000)

INF = 10 ** 18
MOD = 10 ** 9 + 7

n, m = map(int, input().split())
c = list(map(int, input().split()))
DP = [0] + [n] * n
for i in range(m):
    for j in range(c[i], n + 1):
        DP[j] = min(DP[j], DP[j - c[i]] + 1)
print(DP[n])
from sys import stdin
from sys import setrecursionlimit
from collections import Counter, deque, defaultdict
from math import floor, ceil
from bisect import bisect_left
from itertools import combinations
import random

INF = int(1e10)
MOD = int(1e9 + 7)

def main():
    from builtins import int, map
    N = int(input())
    X = input()
    
    # 余りが0からN - 1
    Xpc = X.count("1")
    iX = int(X, 2)
    rem_groups = [0] * (200_001)
    for k in range(1, N):
        rem_groups[k] = k % bin(k).count("1")

    # ans = [-1] * (N + 1)
    for k in range(N - 1, -1, -1):
        # f(k)を計算
        Xk = iX ^ (1 << k)
        Xkpc = Xpc
        if (iX & (1 << k)) >> k:
            Xkpc -= 1
        else:
            Xkpc += 1
        ans = rem_groups[Xk % Xkpc] + 1 + (0 if Xk % Xkpc == 0 else 1)
        print(ans)



if __name__ == '__main__':
    main()

### FIXED CODE ###

N = int(input())
B = input()

B_1 = B.count("1") # pc
mod_p1 = int(B, 2) % (B_1 + 1) # pc + 1
if B_1 != 1:
    mod_m1 = int(B, 2) % (B_1 - 1) # pc - 1

# 小さい数字は直接計算しても一瞬
def calc_small(n, count):
    count += 1
    mod = n % bin(n).count("1")
    if mod == 0:
        return count
    else:
        return calc_small(mod, count)

for i in range(N):
    if B_1 == 1 and int(B[i]) == 1:
        print(0)
        continue

    # はBiが1か0かで，元のmodから差分計算できる
    if B[i] == '1':
        # 反転して-する場合 (mod PC - 1)
        mod = (mod_m1 - pow(2, N - i - 1, B_1 - 1)) % (B_1 - 1)
    else:
        # 反転して+する場合 (mod PC + 1)
        mod = (mod_p1 + pow(2, N - i - 1, B_1 + 1)) % (B_1 + 1)
    count = 1
    if mod == 0:
        print(count)
    else:
        print(calc_small(mod, count))
N=int(input())
A_lis=list(map(int,input().split())
x=0           
for i in A_lis:
   x += 1/i
ans = 1/x
print(ans)           
           
  

### FIXED CODE ###

N=int(input())
A_lis=list(map(int,input().split()))
a=0        
for i in A_lis:
   a += 1/i
ans = 1/a
print(ans)
n,a,b = map(int,inpot().split())
print(min(n*a,b))

### FIXED CODE ###

n,a,b = map(int,input().split())
pln1 = n * a
pln2 = b
print(min(pln1,pln2))
N = int(input())
An = list(map(int, input().split()))
Q = int(input())


for i in range(Q):
    b, c = map(int, input().split())
    for j, name in enumerate(An):
        if An[j] == b:
            An[j] = c
    
    print(sum(An))

### FIXED CODE ###

data = input()

if data.isupper():
    print("A")
elif data.islower():
    print("a")
import re

S = input()
P = re.compile()

if P.match(S):
    print("Yes")
else:
    print("No")

### FIXED CODE ###

import re

S = input()
A = re.compile(r'^([^L][^R])*[^L]?$')

if A.match(S):
    print("Yes")
else:
    print("No")
D, N = map(int, input().split())
output = 1
for i in range(D):
	output *= 100
if N = 100:
	N = 101
output *= N
print(output)


### FIXED CODE ###

D, N = map(int, input().split())
output = 1
for i in range(D):
	output *= 100
if N == 100:
	N = 101
output *= N
print(output)
X = int(input())
if(X => 30):
  print('True')
else:
  print('False')

### FIXED CODE ###

X = int(input())
if(X >= 30):
    print('Yes')
else:
    print('No')
#include <iostream>
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
using namespace std;
typedef long long ll;

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    string s;
    int ans = 0;
    cin >> s;
    rep(i,s.size()-1) {
        if (s[i] != s[i+1]) {
            ans++;
        }
    }
    cout << ans << "\n";
}

### FIXED CODE ###

s = input()
ans = 0
p = s[0]
for si in s:
    ans += p != si
    p = si
print(ans)
ソースコード 

Copy
Copy
s=input()
flag=False
for i in range(len(s)-1):
  if s[i:i+2]=='AC':
    flag=True
if flag:
  print('Yes')
else:
  print('No')

### FIXED CODE ###

s=input()
flag=False
for i in range(len(s)-1):
  if s[i:i+2]=='AC':
    flag=True
if flag:
  print('Yes')
else:
  print('No')