Harryxun/stf_run huggingface dataset:
import math
from functools import reduce


def lcm_base(x, y):
    return (x * y) // math.gcd(x, y)


def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)


N = int(input())
a = list(map(int, input().split()))

lcm_num = lcm_list(a) - 1
ans = 0
for i in range(N):
    ans += lcm_num % a[i]
print(ans)


### FIXED CODE ###

from functools import reduce


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


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


def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)


N = int(input())
a = list(map(int, input().split()))

lcm_num = lcm_list(a) - 1
ans = 0
for i in range(N):
    ans += lcm_num % a[i]
print(ans)
import bisect

n = input()
a = []
n = int(n)

for i in range(n):
    a.append(int(input()))

# それぞれの色の最大値を入れる筒のリスト
t = []

for i in a:
    # それぞれの色のどの値よりも小さかったとき
    # 筒よりも小さかったとき
    if len(t) > 0 and i < t[0]:
        t.insert(0, i)
    # 筒よりも大きかったとき
    idx = bisect.bisect_left(t, i)
    t[idx-1] = i
    # print(t)

print(len(t))


### FIXED CODE ###

import bisect

n = int(input())
a = [int(input()) for _ in range(n)]
# それぞれの色の最大値を入れる筒のリスト
t = [a[-1]]

for i in reversed(a[:-1]):
    # それぞれの色のどの値よりも小さかったとき
    idx = bisect.bisect_left(t, i+1)
    # print(i, idx)
    if idx == len(t):
        t.append(i)
    # 効率的な色の探索
    else:
        t[idx] = i
    # print(t)

print(len(t))
n = int(input())
edge = [[] for _ in range(n)]

for i in range(n-1):
    a,b,c=map(int, input().split())
    edge[a-1].append([b-1,c])
    edge[b-1].append([a-1,c])
#任意の点から行ける偶数の距離で行けるところを同じ色で塗る。
col = [-1]*n
visited = [0]*n

def dfs(i,c):
    visited[i]=1
    col[i] = c
    for j in edge[i]:
        if not visited[j[0]]:
            if j[1]%2==0:
                dfs(j[0],c)
            else:
                dfs(j[0],-1*c)


def main():
    dfs(0,1)
    for i in range(n):
        print(max(col[i],0))



if __name__ == '__main__':
    main()


### FIXED CODE ###

import sys
sys.setrecursionlimit(10**6)
n=int(input())
a = [[]*n for _ in range(n)]
visited = [0] * n
dist = [0]*n
col = [1]*n

def dfs(i:"int", c:"int"):
    for j in a[i]:
        if not visited[j[0]]:
            visited[j[0]]=1
            if j[1]%2==0:
                col[j[0]]=c
            else:
                col[j[0]]=c*-1
            dfs(j[0], col[j[0]])



if __name__ == '__main__':
    for i in range(n-1):
        u,v,d = map(int, input().split())
        a[u-1].append([v-1, d])
        a[v-1].append([u-1, d])
    visited[0]=1
    dfs(0, 1)
    for i in range(n):
        print(col[i] if col[i]>0 else 0)
import math
n=int(input())
XY=[]
for _ in range(n):
    x,y=map(int,input().split())
    if x==y==0:
        continue
    XY.append((x,y))
XY.sort(key=lambda x: math.atan2(x[1],x[0]))
ans=0
XY+=XY
for i in range(n):
    x,y=0,0
    for j in range(i,i+n):
        x+=XY[j][0]
        y+=XY[j][1]
        ans=max(ans,x**2+y**2)
print(ans**0.5)

### FIXED CODE ###

import math
n=int(input())
XY=[]
for _ in range(n):
    x,y=map(int,input().split())
    if x==y==0:
        continue
    XY.append((x,y))
l=len(XY)
if l:
    XY.sort(key=lambda x: math.atan2(x[1],x[0]))
    ans=0
    XY+=XY
    for i in range(l):
        x,y=0,0
        for j in range(i,i+l):
            x+=XY[j][0]
            y+=XY[j][1]
            ans=max(ans,x**2+y**2)
    print(ans**0.5)
else:
    print(0)
(a, b) = [int(x) for x in input().split()]

di = a // b
m = a % b
df = a / b

print('{0} {1} {2:.8f}'.format.di, m, df))

### FIXED CODE ###

(a, b) = [int(x) for x in input().split()]

di = a // b
m = a % b
df = a / b

print('{0} {1} {2:.8f}'.format(di, m, df))
s=str(input())
a=[0]
b=''
c=0
d=int(len(s)/2)
if d == 0:
    print(0)
elif a=='0':
    for i in range(d):
        b+="01"
else:
    for i in range(d):
        b+="10"
for u in range(len(s)):
    if s[u] != b[u]:
        c+=1
print(c)

### FIXED CODE ###

import math
s=str(input())
b=''
c=0
d=math.ceil(len(s)/2)
if s[0]=='0':
    for i in range(d):
        b+="01"
else:
    for i in range(d):
        b+="10"
if len(s) != len(b):
    b = b[:-1]
for u in range(len(s)):
    if s[u] != b[u]:
        c+=1
print(c)
n = input()
a = int(n[0])
b = int(n[1])
c = int(n[2])
d = int(n[3])
if a+b+c+d==7:
  print(a+"+"+b+"+"+c+"+"+d+"=7")
elif a+b+c-d==7:
  print(a+"+"+b+"+"+c+"-"+d+"=7")
elif a+b-c+d==7:
  print(a+"+"+b+"-"+c+"+"+d+"=7")
elif a+b-c-d==7:
  print(a+"+"+b+"-"+c+"-"+d+"=7")
elif a-b+c+d==7:
  print(a+"-"+b+"+"+c+"+"+d+"=7")
elif a-b+c-d==7:
  print(a+"-"+b+"+"+c+"-"+d+"=7")
elif a-b-c+d==7:
  print(a+"-"+b+"-"+c+"+"+d+"=7")
else:
  print(a+"-"+b+"-"+c+"-"+d+"=7")

### FIXED CODE ###

n = input()
a = int(n[0])
b = int(n[1])
c = int(n[2])
d = int(n[3])
if a+b+c+d==7:
  print(str(a)+"+"+str(b)+"+"+str(c)+"+"+str(d)+"=7")
elif a+b+c-d==7:
  print(str(a)+"+"+str(b)+"+"+str(c)+"-"+str(d)+"=7")
elif a+b-c+d==7:
  print(str(a)+"+"+str(b)+"-"+str(c)+"+"+str(d)+"=7")
elif a+b-c-d==7:
  print(str(a)+"+"+str(b)+"-"+str(c)+"-"+str(d)+"=7")
elif a-b+c+d==7:
  print(str(a)+"-"+str(b)+"+"+str(c)+"+"+str(d)+"=7")
elif a-b+c-d==7:
  print(str(a)+"-"+str(b)+"+"+str(c)+"-"+str(d)+"=7")
elif a-b-c+d==7:
  print(str(a)+"-"+str(b)+"-"+str(c)+"+"+str(d)+"=7")
else:
  print(str(a)+"-"+str(b)+"-"+str(c)+"-"+str(d)+"=7")
strength = [ str(i) for i in range(2,14) ] + ["1"]
a , b = [ v for v in input().split() ]
if a.index(strength) > b.index(strength):
  print("Alice")
elif a.index(strength) == b.index(strength):
  print("Draw")
else:
  print("Bob")

### FIXED CODE ###

strength = [ str(i) for i in range(2,14) ] + ["1"]
a , b = [ v for v in input().split() ]
if strength.index(a) > strength.index(b):
  print("Alice")
elif strength.index(a) == strength.index(b):
  print("Draw")
else:
  print("Bob")
# スペース区切りの整数の入力
A,B,K = map(int, input().split())

import math

divisor = math.gcd(A,B)
counter = 1

if K==1:
  print(divisor)
  
else:
  divisor-=1
  while(divisor>=0):
    #print(divisor)
    
    if A%divisor==0 and B%divisor==0:
      counter+=1
      #print("count",counter)
      
      if counter==K:
        break
        
    divisor-=1
    
  print(divisor)
  
  

### FIXED CODE ###

import fractions

# スペース区切りの整数の入力
A,B,K = map(int, input().split())

divisor = fractions.gcd(A,B)
counter = 1

if K==1:
  print(divisor)
  
else:
  divisor-=1
  while(divisor>=0):
    #print(divisor)
    
    if A%divisor==0 and B%divisor==0:
      counter+=1
      #print("count",counter)
      
      if counter==K:
        break
        
    divisor-=1
    
  print(divisor)
n=int(input())
t ,a=list(map(int, input().split()))
h = list(map(int,input().split(' ')))

min=100000000000000
min_index=n+1
for i in range(len(h)):
  v = abs(t - h[i]*0.006)
  if v < min:
    min=v
    min_index=i
print(min_index+1)


### FIXED CODE ###

n = int(input())
cards = (list)(map(int, input().split()))

cards = sorted(cards, reverse=True)

print(2*sum(cards[0::2]) - sum(cards))
print(α)

### FIXED CODE ###

s = input()
if s.isupper():
  print('A')
else:
  print('a')
a, b = map(int, input().split())


if (a*b)%2 == 0:
        print("Even")
    else:
        print("Odd")


### FIXED CODE ###

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

if (a*b)%2 == 0:
	print("Even")
else:
	print("Odd")
while True:
    a,b=map(int,input().split())
    if a==0 and b==0:break
    for i in range(H):
    	for j in range(W):
    		if (i + j)%2 == 0:print('#',end="")
    		else:print(".",end="")
    	print("")
    print("")


### FIXED CODE ###

while True:
    a,b=map(int,input().split())
    if a==0 and b==0:break
    for i in range(a):
    	for j in range(b):
    		if (i + j)%2 == 0:print('#',end="")
    		else:print(".",end="")
    	print("")
    print("")
A,B,K = map(int,input().split())

for i in range(K):
    if A+i <= B:
        print(A+i)

for i in range(K):
    if B-K+i >= A + K:
        print(B-K+i)


### FIXED CODE ###


s = list(input())
s.sort()
if "".join(s) == "abc":
    print('Yes')
else:
    print('No')
#define rep(i, n) for(int i = 0; i < (int)(n); i++)
#include <iostream>
#include <string>
#include <algorithm>
#include <vector>
using namespace std;

int main(){
    double sr;
    long long int lr;
    cin >> lr >> sr;

    cout << (long long int)(double(lr%1000) * sr)+(lr/1000)*((long long int)(sr*1000)) << endl;
}


### FIXED CODE ###

a = int(input())
li = list(map(int,input().split()))
total = 1
i = 1
for i in range(a):
    total = total*li[i]
    if total > 1000000000000000000:
        total = -1
        break
for i in range(a):
    if li[i] == 0:
        total = 0

print(total)
N,A,B = map(int, input().split())
  
if N % (A + B) == 0:
  print(N // (A + B) * A)
elif N % (A + B) - A < 0:
  print(N // (A + B) * A + abs(N % (A + B) - A)
elif N % (A + B) - A > 0:
  print(N // (A + B) * A + A)

### FIXED CODE ###

N,A,B = map(int, input().split())
  
if N % (A + B) == 0:
  print(N // (A + B) * A)
elif N % (A + B) - A < 0:
  print(N // (A + B) * A + abs(N % (A + B)))
elif N % (A + B) - A > 0:
  print(N // (A + B) * A + A)
#include<iostream>
#include<vector>
#include<cmath>
#include<queue>
#include<utility>
#include<algorithm>

using namespace std;

int main(){
  int d,g;cin >> d >> g;
  g=int(g/100);
  vector< pair<int,int> > pc(d);
  int P=0;int C=0;
  for(int i=0;i<d;i++){
    int p,c;cin >> p >> c;c=int(c/100);
    pc[i]=make_pair(p,c);
    C+=(c+p*(i+1));P+=p;
  }
  vector<int> dp(C+1,0);
  for(int i=0;i<d;i++){
    vector<int> dp_sub(C+1,0);
    for(int j=0;j<C+1;j++){
      if(j==0){
        for(int k=1;k<pc[i].first+1;k++){
          if(k!=pc[i].first){dp_sub[k*(i+1)]=k;}
          else{dp_sub[k*(i+1)+pc[i].second]=k;}
        }
      }else if(dp[j]!=0){
        for(int k=1;k<pc[i].first+1;k++){
          if(k!=pc[i].first){
            if(dp_sub[j+k*(i+1)]!=0){
              dp_sub[j+k*(i+1)]=min(dp[j]+k,dp_sub[j+k*(i+1)]);
            }else{
              dp_sub[j+k*(i+1)]=dp[j]+k;
            }
          }else{
            if(dp_sub[j+k*(i+1)+pc[i].second]!=0){
              dp_sub[j+k*(i+1)+pc[i].second]=min(dp[j]+k,dp_sub[j+k*(i+1)+pc[i].second]);
            }else{
              dp_sub[j+k*(i+1)+pc[i].second]=dp[j]+k;
            }
          }
        }
      }
    }
    for(int j=0;j<C+1;j++){
      if(dp_sub[j]!=0){
        if(dp[j]==0){
          dp[j]=dp_sub[j];
        }else{
          dp[j]=min(dp[j],dp_sub[j]);
        }
      }
    }
  }
  int m=P;
  for(int i=g;i<C+1;i++){
    if(dp[i]!=0){m=min(m,dp[i]);}
  }
  cout << m << endl;
}


### FIXED CODE ###

import math
d,g=map(int,input().split())
pc=[list(map(int,input().split())) for i in range(d)]
ans=10000000000000000000
for i in range(1<<d):
    s=0
    ans_=0
    for j in range(d):
        if (i>>j)&1:
            s+=(pc[j][1]+pc[j][0]*100*(j+1))
            ans_+=pc[j][0]
    #print(s,ans_)
    if s>=g:
        ans=min(ans,ans_)
    else:
        for j in range(d-1,-1,-1):
            if not((i>>j)&1):
                if s+(pc[j][0]*100*(j+1))>=g:
                    h=-((s-g)//(100*(j+1)))
                    s+=(h*100*(j+1))
                    ans_+=h
                    ans=min(ans,ans_)
                    break
                else:
                    break
print(ans)
#ansとans_
#謎のWA
import _pickle as cPickle
import math
 
d,g = [int(i) for i in input().split()]
P = []
C = []
for i in range(d):
    p,c = [int(i) for i in input().split()]
    P.append(p)
    C.append(c)
 
m = 10**9
def score(point = 0, n = 0, now=0, done=[]):
    global m
    if point >= g:
        if m > n: m = n
    elif point+100*(now+1)*P[now] >= g:
        n += math.ceil((g-point)/(100*(now+1)))
        if m > n: 
            m = n
    else:
        done.append(now)
        for i in range(d):
            if not i in done:
                score(point+P[now]*100*(now+1) + C[now], n + P[now], i, cPickle.loads(cPickle.dumps(done, -1)))
 
for i in range(d):
    done = []
    score(0,0,i,done)
print(m)

### FIXED CODE ###

import math
 
d,g = [int(i) for i in input().split()]
P = []
C = []
for i in range(d):
    p,c = [int(i) for i in input().split()]
    P.append(p)
    C.append(c)

# cnt = 0
# def count():
#     global cnt
#     cnt+=1
#     print(cnt)

def flag(point,P,now):
    if point+100*(now+1)*(P-1) >= g: return 1
    elif point+100*(now+1)*P + C[now] >= g: return 2
    else: return 0

m = 10**9
def score(point = 0, n = 0, now=-1, remain = list(range(d))):
    global m
    if m <= n: return
    elif now == -1:
        for i in remain:
            score(point, n, i, remain)
    elif point >= g: m = n
    elif flag(point,P[now],now) == 1:
        n += math.ceil((g-point)/(100*(now+1)))
        if m > n: m = n
    elif flag(point,P[now],now) == 2:
        n += P[now]
        if m > n: m = n
    else:
        if m <= n+P[now]: return
        else:
            remain = remain[:]
            remain.remove(now)
            nxtp = point + P[now]*100*(now+1) + C[now]
            for i in remain:
                score(nxtp, n + P[now], i, remain)

score()
print(m)
N, M = map(int, input().split())
H = list(map(int, input().split()))
AB = [list(map(int, input().split())) for m in range(M)]
AB = list(map(list, set(map(tuple, AB))))

i = []
for m in range(len(AB)):
    a = AB[m][0]
    b = AB[m][1]
    if H[a-1] >= H[b-1]:
        i.append(b-1)
    elif H[a-1] <= H[b-1]:
        i.append(a-1)

i = list(set(i))
for x in i:
    H[i] = 0

cnt = H.count(0)
print(len(H)-cnt)

### FIXED CODE ###

N, M = map(int, input().split())
H = list(map(int, input().split()))
AB = [list(map(int, input().split())) for m in range(M)]
AB = list(map(list, set(map(tuple, AB))))

i = []
for m in range(len(AB)):
    a = AB[m][0]
    b = AB[m][1]
    if H[a-1] > H[b-1]:
        i.append(b-1)
    elif H[a-1] < H[b-1]:
        i.append(a-1)
    else:
        i.append(a-1)
        i.append(b-1)

i = list(set(i))
print(len(H)-len(i))
if 9 in input():
  print("Yes")
else:
  print("No")

### FIXED CODE ###

if "9" in input():
  print("Yes")
else:
  print("No")
a,b,c=map(str,input().split())
print(a[0].upper+b[0].upper+c[0].upper)

### FIXED CODE ###

a,b,c=map(str,input().split())
print(a[0].upper()+b[0].upper()+c[0].upper())
import math
n = int(input())
A = list(map(int, input().split()))

#A = sorted(A)

ansN = A[0]
for i in range(1, n):
    ansN = math.gcd(ansN, A[i])
if ansN > 1:
    print('not coprime')
else:
    ans2 = True
    C = [0 for _ in range(10**6+10)]
    for a in A:
        F = factorization(a)
#        print(F)
        for f in F:
            if C[f[0]] == 0:
                C[f[0]] = 1
#                print('!!')
            else:
                ans2 = False
                break
        else:
            continue
        break
    if ans2:
        print('pairwise coprime')
    else:
        print('setwise coprime')

### FIXED CODE ###

def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

#factorization(24) 

## [[2, 3], [3, 1]] 
##  24 = 2^3 * 3^1


import math
n = int(input())
A = list(map(int, input().split()))

#A = sorted(A)

ansN = A[0]
for i in range(1, n):
    ansN = math.gcd(ansN, A[i])
if ansN > 1:
    print('not coprime')
else:
    ans2 = True
    C = [0 for _ in range(10**6+10)]
    for a in A:
        F = factorization(a)
#        print(F)
        for f in F:
            if f[0] != 1:
                if C[f[0]] == 0:
                    C[f[0]] = 1
                else:
                    ans2 = False
                    break
        else:
            continue
        break
    if ans2:
        print('pairwise coprime')
    else:
        print('setwise coprime')
n=input()

for i in range(0,n):
    zahyou=map(float,raw_input().split(" "))
    a=(zahyou[3]-zahyou[1])/(zahyou[2]-zahyou[0])
    b=(zahyou[7]-zahyou[5])/(zahyou[6]-zahyou[4])
    if a==b or a==-b:
        print "YES"
    else:
        print "NO",

### FIXED CODE ###

n = int(raw_input())
for i in range(n):
    x1, y1, x2, y2, x3, y3, x4, y4 = map(float, raw_input().split())
    print "YES" if abs(((y2-y1)*(x4-x3) - (x2-x1)*(y4-y3))) < 1e-10 else "NO"
(a, b) = [int(i) for i in input().split()]

d = a // b
r = a % b
f = a / b


print('s% s% %.5f' % (d, r, f))

### FIXED CODE ###

(a, b) = [int(i) for i in input().split()]

d = int(a / b)
r = a % b
f = a / b


print('%s %s %.5f' % (d, r, f))
try:
  A, B, K = (int(i) for i in input().split())
  list = []
  for i in range(1, 100):
    if A % == 0 and B % i == 0:
      list.append(i)
  print(list[len(list)-K])
  
except ZeroDivisionError:
    print("ZeroDivisionError!!")
    

### FIXED CODE ###

A, B, K = (int(i) for i in input().split())
list = []
 
for i in range(101):
  if i != 0:
    if A % i == 0 and B % i == 0:
      list.append(i)
print(list[len(list)-K])
n,m=(map(int,input().split()))
a=list(map(int,input().split()))

new_a=sorted(a,reverse=True)
sums=sum(a)

if new_a[m-1]>sums/(b*4):
    print("Yes")
else:
    print("No")

### FIXED CODE ###

n,m=map(int,input().split())
a=list(map(int,input().split()))

new_a=sorted(a,reverse=True)
sums=sum(a)

if new_a[m-1]>=sums/(m*4):
    print("Yes")
else:
    print("No")
N, K=[int(i) for i in input().split()]
h=[int(i) for i in input().split()]

cost=[0]
for i in range(1,N):
    m_cost=999999
    for j in range(1,min(K,i)+1):
        if m_cost>=cost[i-j]+abs(h[i]-h[i-j]):
            m_cost=cost[i-j]+abs(h[i]-h[i-j])
    cost.append(m_cost)
print(cost.pop()) 




### FIXED CODE ###

N=int(input())
h=[int(i) for i in input().split()]

cost=[0]
for i in range(1,N):
    if i!=1: 
        cost.append(min(cost[i-1]+abs(h[i]-h[i-1]), cost[i-2]+abs(h[i]-h[i-2])))
    else:
        cost.append(cost[i-1]+abs(h[i]-h[i-1]))
print(cost.pop())
import math

def overlap(p1, p2, d):
    return (p1[0] - p2[0])**2 + (p1[1] - p2[1])**2 <= d**2

def intersection(o1,o2):
    a  = 2*(o2[0] - o1[0])
    b  = 2*(o2[1] - o1[1])
    c  = (o1[0] - o2[0])*(o1[0] + o2[0]) + (o1[1] - o2[1])*(o1[1] + o2[1])
    a2 = a**2 + b**2
    b2 = a*c + a*b*o1[1] - b**2*o1[0]
    c2 = b**2*(o1[0]**2 + o1[1]**2 - 1) + c**2 + 2*b*c*o1[1]
    x1 = (-b2 + math.sqrt(b2**2 - a2*c2))/a2
    x2 = (-b2 - math.sqrt(b2**2 - a2*c2))/a2
    if abs(b) == 0:
        tmp = math.sqrt(1 - (x1 - o1[0])**2)
        y1 = o1[1] + math.sqrt(1 - (x1 - o1[0])**2)
        y2 = o1[1] - math.sqrt(1 - (x1 - o1[0])**2)
    else:
        y1 = -(a*x1 + c)/b
        y2 = -(a*x2 + c)/b
    return [x1, y1], [x2, y2]

while True:
    n = int(input())
    if n == 0:
        break
    p = []
    for i in range(n):
        p.append(list(map(float, input().split(","))))
    ans = 0
    for i in range(n - 1):
        for j in range(i + 1, n):
            if not overlap(p[i], p[j], 2):
                continue
            p1, p2 = intersection(p[i], p[j])
            cnt1 = 0
            cnt2 = 0
            for k in range(n):
                if overlap(p1, p[k], 1):
                    cnt1 += 1
                if p2[0] != None and overlap(p2, p[k], 1):
                    cnt2 += 1
            ans = max([ans, cnt1, cnt2])
    print(ans)



### FIXED CODE ###

import math

def dist(p1, p2):
    return math.sqrt((p1[0] - p2[0])**2 + (p1[1] - p2[1])**2)

def intersection(o1,o2):
    if dist(o1,o2) > 2:
        p1, p2 =  [None, None], [None, None]
    elif dist(o1,o2) == 2:
        p1, p2 =  [(o1[0] + o2[0])/2, (o1[1] + o2[1])/2], [None, None]
    else:
        m = [(o1[0] + o2[0])/2, (o1[1] + o2[1])/2]
        v = [m[0] - o1[0], m[1] - o1[1]]
        v_abs = dist(v,[0,0])
        w = [v[1], -v[0]]
        w_abs = dist(w,[0,0])
        n = [w[0]/w_abs, w[1]/w_abs]
        l = math.sqrt(1 - v_abs**2)
        p1 = [m[0] + l*n[0], m[1] + l*n[1]]
        p2 = [m[0] - l*n[0], m[1] - l*n[1]]
    return p1, p2
err = 1.0e-6
while True:
    n = int(input())
    if n == 0:
        break
    p = []
    for i in range(n):
        p.append(list(map(float, input().split(","))))
    ans = 1
    for i in range(n - 1):
        for j in range(i + 1, n):
            p1, p2 = intersection(p[i], p[j])
            cnt1 = 0
            cnt2 = 0
            for k in range(n):
                if p1[0] and dist(p1, p[k]) <= 1 + err:
                    cnt1 += 1
                if p2[0] and dist(p2, p[k]) <= 1 + err:
                    cnt2 += 1
            ans = max([ans, cnt1, cnt2])
    print(ans)
a, b, x = map(int, input().split())
A = b//x
B = a//x
if B%x == 0:
    print(A-B+1)
else:
    print(A-B)

### FIXED CODE ###

a, b, c = map(str, input().split())
print(a[0]+b[0]+c[0])
from math import gcd
def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

def main():
    a,b = map(int,input().split())
    c = gcd(a,b)
    print(len(factorization(c))+1)

if __name__ == "__main__":
    main()

### FIXED CODE ###

from fractions import gcd
def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

def main():
    a,b = map(int,input().split())
    c = gcd(a,b)
    cnt = factorization(c)
    if cnt[0][0]==1:
        print(len(cnt))
    else:
        print(len(cnt)+1)

if __name__ == "__main__":
    main()
line = input().split()
A =int(line[0])
B =int(line[1])
C =int(line[2])
D =int(line[3])

import numpy as np

from_1_a = int((A-1)/C) +int((A-1)/D) - int((A-1)/np.lcm(C,D))
from_1_b = int(B/C) +int(B/D) - int(B/np.lcm(C,D))

baisu_c_or_d = from_1_b -from_1_a
among = B -A  +1

print(among - baisu_c_or_d)


### FIXED CODE ###

from fractions import gcd

A, B, C, D = map(int, input().split())
l = C * D // gcd(C, D)
x = (A - 1) - (A - 1) // C - (A - 1) // D + (A - 1) // l
y = B - B // C - B // D + B // l
print(y - x)
N, M = map(int, input().split())
dic = {i:[] for i in range(1,M+1)}
for i in range(N):
  A, B = map(int, input().split())
  if A<=M:
    dic[A] += [B]
key = list(dic.keys())
key.sort()
ans = 0
ls = []
pm = 0
m = 0
for i in range(1,M+1):
  if dic[i]:
    x = max(dic[i])
    if m < x:
      ans += x
      dic[i].remove(x)
      ls += dic[i]
    else:
      ans += m
      ls.remove(m)
      ls += dic[i]
  else:
    ans += m
    ls.remove(m)
  m = max(ls)
  
  
print(ans)

### FIXED CODE ###

from heapq import heappop, heappush
import sys
input = sys.stdin.readline

N, M = map(int, input().split())
X = sorted([list(map(int, input().split())) for _ in range(N)], key = lambda x: x[0])

hq = []
ans, j = 0, 0

for i in range(1, M + 1):  # M - i 日後にするバイトを考える
    while (j < N) and (X[j][0] <= i):
        heappush(hq, -X[j][1])  # 候補の追加
        j += 1
    if len(hq):
        ans += -heappop(hq)  # 候補があるとき、候補から最大値を取り出す

print(ans)
n,a=map(int,input().split())
arr=list(map(int,input().split()))
l=sum(arr)
dp=[[[0]*(l+1) for _ in range(n+1)] for _ in range(n+1)]
dp[0][0][0]=1
for i in range(1,n+1):
  xi=arr[i-1]
  for j in range(0,i+1):
    for k in range(0,l+1):
      if k<xi:
        dp[i][j][k]=dp[i-1][j][k]
      elif j>=1:
        dp[i][j][k]=dp[i-1][j][k]+dp[i-1][j-1][k-xi]
ans=0
for i in range(1,n+1):
  ans+=dp[n][i][i*a]
print(ans)

### FIXED CODE ###

n,a=map(int,input().split())
arr=list(map(int,input().split()))
l=n*max(a,max(arr))
dp=[[[0]*(l+1) for _ in range(n+1)] for _ in range(n+1)]
dp[0][0][0]=1
for i in range(1,n+1):
  xi=arr[i-1]
  for j in range(0,i+1):
    for k in range(0,l+1):
      if k<xi:
        dp[i][j][k]=dp[i-1][j][k]
      elif j>=1:
        dp[i][j][k]=dp[i-1][j][k]+dp[i-1][j-1][k-xi]
ans=0
for i in range(1,n+1):
  ans+=dp[n][i][i*a]
print(ans)
n =int(input())
s = list(map(int,input().split()))
i = 1
l =[]
while i <= n:
     l.append(s.count(i))
     i += 1
[print(_) for _ in l]

### FIXED CODE ###

import math 
r = int(input())
print (str(2 *r * math.pi))