Harryxun/sft_time huggingface dataset:
### BUGGY CODE ###

class P:
    def __init__(self, c):
        self.c = c
        self.reached = False
        self.searched = False
        self.checked = False

from collections import deque
H, W = [int(i) for i in input().split()]
Ch, Cw = [int(i)-1 for i in input().split()]
Dh, Dw = [int(i)-1 for i in input().split()]
S = [[None for _ in range(H)] for _ in range(W)]
for y in range(H):
    tmp = input()
    for x in range(W):
        S[x][y] = P(tmp[x])

def neighbors(x, y, d):
    for i in range(max(0, x-1), min(W, x+2)):
        if S[i][y].reached == False and S[i][y].c == '.':
            d.append((i, y))
    for i in range(max(0, y-1), min(H, y+2)):
        if S[x][i].reached == False and S[x][i].c == '.':
            d.append((x, i))

def jump(x, y, d):
    S[x][y].checked = True
    for i in range(max(0, x-2), min(W, x+3)):
        for j in range(max(0, y-2), min(H, y+3)):
            if S[i][j].reached == False and S[i][j].searched == False and S[i][j].c == '.':
                d.append((i, j))
                S[i][j].searched = True


def BFS(x, y):
    if S[x][y].reached:
        return
    d = deque([(x, y)])
    while True:
        x, y = d.popleft()
        S[x][y].reached = True
        neighbors(x, y, d)
        if len(d) == 0:
            break


counter = 0
if Cw == Dw and Ch == Dh:
    print(0)
    exit()
q = deque([(Cw, Ch)])
flag = False
while True:
    while len(q) > 0:
        x, y = q.popleft()
        BFS(x, y)
    if S[Dw][Dh].reached == True:
        break
    counter += 1
    for i in range(W):
        for j in range(H):
            if S[i][j].reached and S[i][j].checked == False:
                jump(i, j, q)
    if len(q) == 0:
        flag = True
        break
if flag:
    print(-1)
else:
    print(counter)
    


### FIXED CODE ###

#!/usr/bin/env python3
import sys
import collections
import itertools
 
def main():
    input = sys.stdin.readline
    h, w = map(int, input().split())
    ch, cw = map(lambda x:int(x) - 1, input().split())
    dh, dw = map(lambda x:int(x) - 1, input().split())
    s = [list(input().rstrip()) for _ in range(h)]
    
    que = collections.deque()
    que.append((ch, cw))
    cost = [[float("INF")] * w for _ in range(h)]
    cost[ch][cw] = 0
    
    while que:
        py, px = que.popleft()
        for dy, dx in itertools.product(range(-2, 3), repeat = 2):
            ny, nx = py + dy, px + dx
            if 0 <= ny < h and 0 <= nx < w and s[ny][nx] == ".":
                if dy == dx == 0:
                    continue
                if (dy, dx) in [(-1, 0), (0, -1), (1, 0), (0, 1)]:
                    if cost[ny][nx] > cost[py][px]:
                        cost[ny][nx] = cost[py][px]
                        que.appendleft((ny, nx))
                else:
                    if cost[ny][nx] > cost[py][px] + 1:
                        cost[ny][nx] = cost[py][px] + 1
                        que.append((ny, nx))
                        
    if cost[dh][dw] == float("INF"):
        print(-1)
    else:
        print(cost[dh][dw])
    
if __name__ == '__main__':
    main()
### BUGGY CODE ###

import itertools

n = int(input())
sin = [''.join(sorted(input())) for _ in range(n)]

ans = []
combi_list =[]

for i in set(sin):
    if sin.count(i)  > 1:
        combi_list.append(sin.count(i))

for j in set(combi_list):
    x = list(itertools.combinations(range(j), 2))
    ans.append(len(x)*combi_list.count(j))

print(sum(ans))

### FIXED CODE ###

from collections import Counter

n = int(input())
sin = [''.join(sorted(input())) for _ in range(n)]

ans = 0

for i in Counter(sin).values():
    ans += i*(i-1) //2
print(ans)
### BUGGY CODE ###

[n,k] = [int(i) for i in input().split()]
h = [int(i) for i in input().split()]

dp = [999999999999999999999] * n
dp[0] = 0
dp[1] = abs(h[1] - h[0])
for i in range(2,n):
  ls = []
  for j in range(1,k+1):
  	ls.append(dp[i - j] + abs(h[i] - h[i - j]))
  dp[i] = min(ls)
print(dp[n-1])

### FIXED CODE ###

#import numpy
[n,k] = [int(i) for i in input().split()]
a = [int(i) for i in input().split()]
dp = [0]
i_ls = []
now = 0
#dpのi番目の要素がi+1番目の足場までの最小コスト
for i in range(1,n):
    #i番目の足場
    if i < k:
        for j in range(i):
            i_ls.append(abs(a[i]-a[j])+dp[j])
        #print("i<k")
    else:
        for j in range(i-k,i):
            i_ls.append(abs(a[i]-a[j])+dp[j])
        #print("i>=k")
    dp.append(min(i_ls))
    #print(i_ls)
    i_ls = []

print(dp[n-1])
### BUGGY CODE ###

n = int(input())
d = [[float("inf")]*n for i in range(n)]

ab = [tuple(map(int,input().split())) for i in range(n-1)]
es = [[] for i in range(n)]
for a,b in ab:
    a,b = a-1,b-1
    es[a].append(b)
    es[b].append(a)
INF = float('inf')
dist0 = [INF] * n
dist0[0] = 0
import heapq
hq = [(0,0)]
heapq.heapify(hq)
while hq:
    c,v = heapq.heappop(hq)
    for to in es[v]:
        if c+1 >= dist0[to]: continue
        dist0[to] = c+1
        heapq.heappush(hq,(c+1,to))

distn = [INF] * n
distn[n-1] = 0
hq = [(0,n-1)]
heapq.heapify(hq)
while hq:
    c,v = heapq.heappop(hq)
    for to in es[v]:
        if c+1 >= distn[to]: continue
        distn[to] = c+1
        heapq.heappush(hq,(c+1,to))


count_f = 0
for i in range(n):
    if dist0[i] <= distn[i]:
        count_f+=1

if count_f > n-count_f: print('Fennec')
else: print('Snuke')


### FIXED CODE ###

n = int(input())

ab = [tuple(map(int,input().split())) for i in range(n-1)]
es = [[] for i in range(n)]
for a,b in ab:
    a,b = a-1,b-1
    es[a].append(b)
    es[b].append(a)
INF = float('inf')
dist0 = [INF] * n
dist0[0] = 0
import heapq
hq = [(0,0)]
heapq.heapify(hq)
while hq:
    c,v = heapq.heappop(hq)
    for to in es[v]:
        if c+1 >= dist0[to]: continue
        dist0[to] = c+1
        heapq.heappush(hq,(c+1,to))

distn = [INF] * n
distn[n-1] = 0
hq = [(0,n-1)]
heapq.heapify(hq)
while hq:
    c,v = heapq.heappop(hq)
    for to in es[v]:
        if c+1 >= distn[to]: continue
        distn[to] = c+1
        heapq.heappush(hq,(c+1,to))


count_f = 0
for i in range(n):
    if dist0[i] <= distn[i]:
        count_f+=1

if count_f > n-count_f: print('Fennec')
else: print('Snuke')
### BUGGY CODE ###

n = int(input())
S = list(input())
min = 3 * 10 ** 15
for i in range(n):
    tmp = S[0:i].count("W") + S[i+1:n].count("E")
    if min > tmp:
        min = tmp

print(min)

### FIXED CODE ###

n = int(input())
S = input()
W = 0
E = 0
T = [0 for i in range(n)]  
for i in range(n-1):
    if S[i] == "W": W+=1
    if i > 0:
        T[i+1] += W 

for i in range(n-1,0,-1):
    if S[i] == "E": E+=1
    if i < n-1:
        T[i-1] += E
print(min(T))
### BUGGY CODE ###

import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
from collections import defaultdict 
def main():
    s = readline().rstrip().decode()
    n = len(s)
    T = [0]
    P = 2019
    dd = defaultdict(int)
    dd[0] += 1
    for i in range(1, n+1):
        v = ((ord(s[-i])-ord('0'))*10**(i-1) + T[i-1])%P
        dd[v] += 1
        T.append(v)
    ans = 0
    for v in dd.values():
        ans += v*(v-1)//2
    print(ans)
if __name__ == '__main__':
    main()


### FIXED CODE ###

import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
from collections import Counter 
from collections import defaultdict 

def main():
    s = input() 
    n = len(s)
    T = [0]
    P = 2019
    dd = defaultdict(int) 
    dd[0] += 1
    for i in range(1, n+1):
        x = (int(s[-i])*pow(10, i-1, P) + T[i-1])%P
        T.append(x)
        dd[x] += 1
    ans = 0
    for i in dd.values():
        ans += i*(i-1)//2
    print(ans)
if __name__ == '__main__':
    main()
### BUGGY CODE ###

import collections


class UnitDict(dict):

    def __init__(self, iterable=None, wrapper=lambda x: x):
        super().__init__(self)
        self.wrapper = wrapper
        if iterable is not None:
            self.update(iterable)

    def __missing__(self, key):
        self[key] = self.wrapper(key)
        return self[key]


class UnionFind(object):

    def __init__(self, nodes=None):
        self.par = UnitDict(wrapper=lambda x: x)
        self.rank = collections.defaultdict(int)
        self.groups = UnitDict(wrapper=lambda x: {x})
        if nodes is not None:
            for node in nodes:
                _, _, _ = self.par[node], self.rank[node], self.groups[node]

    def root(self, node):
        if self.par[node] == node:
            return node
        else:
            r = self.root(self.par[node])
            self.par[node] = r
            return r

    def unite(self, node1, node2):
        x = self.root(node1)
        y = self.root(node2)
        if x != y:
            if self.rank[x] < self.rank[y]:
                x, y = y, x
            self.par[y] = x
            self.groups[x].update(self.groups[y])
            self.groups[y].clear()
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1


N, K, L = map(int, input().split())
graph_road = UnionFind(range(N))
graph_train = UnionFind(range(N))
for k in range(K):
    p, q = map(int, input().split())
    graph_road.unite(p-1, q-1)

for l in range(L):
    r, s = map(int, input().split())
    graph_train.unite(r-1, s-1)

pair = collections.defaultdict(int)
for i in range(N):
    road = graph_road.root(i)
    train = graph_train.root(i)
    pair[(road, train)] += 1

for i in range(N):
    road = graph_road.root(i)
    train = graph_train.root(i)
    print(pair[(road, train)])


### FIXED CODE ###

import collections


class UnionFind():
    def __init__(self, N):
        self.rank = [0] * N
        self.par = [i for i in range(N)]

    def root(self, x):
        if self.par[x] == x:
            return x
        else:
            self.par[x] = self.root(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x == y:
            return
        if self.rank[x] > self.rank[y]:
            self.par[y] = x
        else:
            self.par[x] = y
            if self.rank[x] == self.rank[y]:
                self.rank[y] += 1

    def same(self, x, y):
        return self.root(x) == self.root(y)


N, K, L = map(int, input().split())
graph_road = UnionFind(N)
graph_train = UnionFind(N)
for k in range(K):
    p, q = map(int, input().split())
    graph_road.unite(p-1, q-1)

for l in range(L):
    r, s = map(int, input().split())
    graph_train.unite(r-1, s-1)

pair = collections.defaultdict(int)
for i in range(N):
    road = graph_road.root(i)
    train = graph_train.root(i)
    pair[(road, train)] += 1

for i in range(N):
    road = graph_road.root(i)
    train = graph_train.root(i)
    print(pair[(road, train)])
### BUGGY CODE ###

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

m = 10 ** 9 + 7
def main():
    r = 0
    for i in range(n - 1):
        for j in range(i+1, n):
            r += (a[i] * a[j])
    
    print(r % m)
    return

main()


### FIXED CODE ###

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


m = 10 ** 9 + 7
def main():
    s = sum(a)
    ss = 0
    r = 0
    for nn in range(n):
        ss += a[nn]
        r += a[nn] * (s - ss)
    print(r % m)
    return

main()
### BUGGY CODE ###

if __name__ == '__main__':
    N, W = map(int, input().split())

    dp = [[-1 for _ in range(W + 1)] for _ in range(N + 1)]
    dp[0][0] = 0

    for i in range(N):
        w, v = map(int, input().split())
        for j in range(W + 1):
            if dp[i][j] == -1: continue
            dp[i + 1][j] = max(dp[i + 1][j], dp[i][j])
            if j + w <= W: dp[i + 1][j + w] = max(dp[i + 1][j + w], dp[i][j] + v)

    ans = max(dp[N])
    print(ans)


### FIXED CODE ###

import collections

if __name__ == '__main__':
    N, W = map(int, input().split())

    dp = [collections.defaultdict(int) for _ in range(N + 1)]
    dp[0][0] = 0

    for i in range(N):
        w, v = map(int, input().split())
        for j in dp[i]:
            dp[i + 1][j] = max(dp[i + 1][j], dp[i][j])
            if j + w <= W: dp[i + 1][j + w] = max(dp[i + 1][j + w], dp[i][j] + v)

    ans = max(dp[N].values())
    print(ans)
### BUGGY CODE ###

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

c = 0
if a < b:
  c = a
else:
  c = b

d = []
for i in range(1, c+1):
  if a % i == 0 and b % i == 0:
    d.append(i)

#print(d)
ans = [1]
if len(d) != 1:
  ans.append(d[1])
for i in d[1:]:
  for j in ans[1:]:
    if i % j == 0:
      break
  else:
    ans.append(i)

print(len(ans))

### FIXED CODE ###

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

def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    # divisors.sort()
    return divisors

  
import math

def is_prime(n):
    if n == 1: return True

    for k in range(2, int(math.sqrt(n)) + 1):
        if n % k == 0:
            return False

    return True
ad = make_divisors(a)
bd = make_divisors(b)
ans = 0
for i in ad:
  if i in bd:
    if is_prime(i):
      ans += 1
print(ans)
### BUGGY CODE ###

import math

def main(*, int=int, input=input):
    N = int(input())

    # スペース区切りでの入力(定数個)
    A = list(map(int, input().split()))

    if 0 in A:
        Alog = [0]
    else:
        Alog = [math.log10(x) for x in A]

    print()
    if sum(Alog)>18:
        print(-1)
    else:
        ans = 1
        for a in A:
            ans = ans * a
        if ans > 10**18:
            print(-1)
        else:
            print(ans)
    


if __name__ == "__main__":
    import io, sys
    if "_INPUT" in locals():
        sys.stdin = io.StringIO(_INPUT)
    main()

### FIXED CODE ###

import math

def main(*, int=int, input=input):
    N = int(input())

    # スペース区切りでの入力(定数個)
    A = list(map(int, input().split()))

    if 0 in A:
        print(0)
        return
    else:
        Alog = [math.log10(x) for x in A]

    if sum(Alog)>18:
        print(-1)
    else:
        ans = 1
        for a in A:
            ans = ans * a
        if ans > 10**18:
            print(-1)
        else:
            print(ans)
    


if __name__ == "__main__":
    import io, sys
    if "_INPUT" in locals():
        sys.stdin = io.StringIO(_INPUT)
    main()
### BUGGY CODE ###

from collections import Counter

H,W = map(int,input().split())
S = [list(input()) for _ in range(H)]

row = Counter()
column = Counter()

for j in range(W):
    tmp = set()
    cnt = 0
    for i in range(H):
        if S[i][j] == "#":
            for pi,pj in tmp:
                row[(pi,pj)] = cnt
            tmp = set()
            cnt = 0
        else:
            tmp.add((i,j))
            cnt += 1
    for pi,pj in tmp:
        row[(pi,pj)] = cnt

for i in range(H):
    tmp = set()
    cnt = 0
    for j in range(W):
        if S[i][j] == "#":
            for pi,pj in tmp:
                column[(pi,pj)] = cnt
            tmp = set()
            cnt = 0
        else:
            tmp.add((i,j))
            cnt += 1
    for pi,pj in tmp:
        column[(pi,pj)] = cnt

ans = 0
for i in range(H):
    for j in range(W):
        res = row[(i,j)] + column[(i,j)] - 1
        ans = max(ans,res)

print(ans)

### FIXED CODE ###

H,W = map(int,input().split())
S = [list(input()) for _ in range(H)]

row = [[0]*W for _ in range(H)]
column = [[0]*W for _ in range(H)]

for j in range(W):
    tmp = set()
    cnt = 0
    for i in range(H):
        if S[i][j] == "#":
            for pi,pj in tmp:
                row[pi][pj] = cnt
            tmp = set()
            cnt = 0
        else:
            tmp.add((i,j))
            cnt += 1
    for pi,pj in tmp:
        row[pi][pj] = cnt

for i in range(H):
    tmp = set()
    cnt = 0
    for j in range(W):
        if S[i][j] == "#":
            for pi,pj in tmp:
                column[pi][pj] = cnt
            tmp = set()
            cnt = 0
        else:
            tmp.add((i,j))
            cnt += 1
    for pi,pj in tmp:
        column[pi][pj] = cnt

ans = 0
for i in range(H):
    for j in range(W):
        res = row[i][j] + column[i][j] - 1
        ans = max(ans,res)

print(ans)
### BUGGY CODE ###

import numpy as np
N = int(input())
S = input()
s = np.array([True if _ == 'W' else False for _ in S])
s_ = np.logical_not(s)
res = N
for i in range(N):
    a = sum(s[0:i]) + sum(s_[i+1:N])
    if a < res:
        res = a
print(res)

### FIXED CODE ###

import numpy as np
N = int(input())
S = input()
pre_s = S[0]
sum1 = sum(s == 'E' for s in S)
res = sum1
if S[0] =='E':
    sum1-=1
    
for i in range(1,len(S)):
    if pre_s =='W':
        sum1 +=1
    if S[i]=='E':
        sum1 -=1
    if sum1 < res:
        res =sum1
    pre_s = S[i]
print(res)
### BUGGY CODE ###

n,k = map(int,input().split())
p = list(map(int,input().split()))

a = i = j = count = ans = 0

while k <= n:
    total = 0
    while i < k:
        tmp = 0
        for j in range(p[i]):
            tmp += j+1
        tmp = float(tmp/p[i])
        total += tmp
        i += 1
    if(total > ans):
        ans = total
    count += 1
    k += 1
    i = count
    
print(ans)


### FIXED CODE ###

n,k = map(int,input().split())
p = list(map(int,input().split()))

a = i = j = count = ans = 0

new_p = [0] * n

for i in range(n):
    new_p[i] = float((p[i]+1)/2)

i = j = 0
total = 0
for i in range(k):
    total += new_p[i]
ans = total
for i in range(k,n):
    total = total + new_p[i] - new_p[i-k]
    ans = max(ans,total)

print('{:.10f}'.format(ans))
### BUGGY CODE ###

n,k = map(int,input().split())
h = list(map(int,input().split()))

dp = [0] * n
dp[0] = 0
for i in range(1,n):
    x = max(i-k, 0)
    dp[i] = min(d + abs(h[i]-hd) for d, hd in zip(dp[x:i], h[x:i]))

print(dp[n-1])


### FIXED CODE ###

import sys
import numpy as np
n,k = map(int,input().split())
h = np.array(list(map(int,sys.stdin.readline().split())))

dp = np.zeros(n, dtype=int)
dp[0] = 0
for i in range(1,n):
    x = max(i-k, 0)
    #dp[i] = min(d + abs(h[i]-hd) for d, hd in zip(dp[x:i], h[x:i]))
    dp[i] = (dp[x:i] + abs(h[i] - h[x:i])).min()
print(dp[-1])
### BUGGY CODE ###

A, B, C, D =map(int, input().split())

count=0
for i in range(A,B+1):
    if(i%C!=0):
        if(i%D!=0):
            count+=1

print(count)

### FIXED CODE ###

A, B, C, D = map(int, input().split(' '))

def gcd(a, b):
  if(a==0):
    return b  
  c = b%a  
  return gcd(c,a)

def lsm(a, b):
  return a * b // gcd(a, b)

result= B//C+B//D-B//lsm(C,D) -((A-1)//C+(A-1)//D-(A-1)//lsm(C,D))
print(B-A+1-result)
### BUGGY CODE ###

N, K = map(int, input().split())
plist = list(map(int, input().split()))
kitaiti = [(0.5*(p+1)) for p in plist]
ans = 0
for i in range(N-K+1):
    ans = max(ans, sum(kitaiti[i:i+K]))
print(ans)

### FIXED CODE ###

import numpy as np
N, K = map(int, input().split())
plist = list(map(int, input().split()))
kitaiti = np.array([(0.5*(p+1)) for p in plist])
ans = 0
val = sum(kitaiti[:K])
ans = max(ans, val)
for i in range(1, N-K+1):
    # print(i-1, i+K)
    val -= kitaiti[i-1]
    val += kitaiti[i+K-1]
    ans = max(ans, val)
print(ans)
### BUGGY CODE ###

import numpy as np

N = int(input())
P = np.array(input().split(' '), dtype = int)

counta = 0
for i in range(N):
    if np.sum((P >= P[i])[:i+1]) == i + 1:
        counta += 1
print(counta)

### FIXED CODE ###

N = int(input())
# P = np.array(input().split(' '), dtype = int)
P = list(map(int, input().split(' ')))

p_min = P[0]
ans = 0
for p in P:
    if p <= p_min:
        p_min = p
        ans += 1
print(ans)
### BUGGY CODE ###

from collections import deque
from itertools import product

h, w = map(int, input().split())
c = tuple(map(lambda x: int(x)-1, input().split()))
d = tuple(map(lambda x: int(x)-1, input().split()))
s = list(input() for _ in range(h))

move_a_area = [(0, -1), (-1, 0), (1, 0), (0, 1)]
move_b_area = [(i, j) for i, j in product(range(-2, 3), repeat=2) if (i, j) not in [(0, 0)] + move_a_area]

INF = 10**12
cost = [[INF] * w for _ in range(h)]
cost[c[0]][c[1]] = 0
que = deque([(c[0], c[1], 0)])

while que:
    y, x, m = que.popleft()
    # Move A
    for dx, dy in move_a_area:
        hh, ww = y + dy, x + dx
        if 0 <= hh < h and 0 <= ww < w and s[hh][ww] == '.' and cost[hh][ww] > m:
            cost[hh][ww] = m
            que.append((hh, ww, m))
    # Move B
    for dx, dy in move_b_area:
        hh, ww = y + dy, x + dx
        if 0 <= hh < h and 0 <= ww < w and s[hh][ww] == '.' and cost[hh][ww] > m + 1:
            cost[hh][ww] = m + 1
            que.append((hh, ww, m + 1))

print(cost[d[0]][d[1]] if cost[d[0]][d[1]] < INF else -1)


### FIXED CODE ###

from collections import deque
from itertools import product

h, w = map(int, input().split())
c = tuple(map(lambda x: int(x)-1, input().split()))
d = tuple(map(lambda x: int(x)-1, input().split()))
s = list(input() for _ in range(h))

move_a_area = [(0, -1), (-1, 0), (1, 0), (0, 1)]
move_b_area = [(i, j) for i, j in product(range(-2, 3), repeat=2) if (i, j) not in [(0, 0)] + move_a_area]

cost = [[float('inf')] * w for _ in range(h)]
cost[c[0]][c[1]] = 0
que = deque([(c[0], c[1], 0)])

while que:
    y, x, m = que.popleft()
    # Move A
    for dx, dy in move_a_area:
        hh, ww = y + dy, x + dx
        if hh < 0 or h <= hh or ww < 0 or w <= ww or s[hh][ww] == '#' or cost[hh][ww] <= m:
            continue
        cost[hh][ww] = m
        que.appendleft((hh, ww, m))
    # Move B
    for dx, dy in move_b_area:
        hh, ww = y + dy, x + dx
        if hh < 0 or h <= hh or ww < 0 or w <= ww or s[hh][ww] == '#' or cost[hh][ww] <= m + 1:
            continue
        cost[hh][ww] = m + 1
        que.append((hh, ww, m + 1))

print(cost[d[0]][d[1]] if cost[d[0]][d[1]] < float('inf') else -1)
### BUGGY CODE ###

from fractions import gcd
from sys import stdin

def lcm(a, b):
    return (a * b) // gcd(a, b)

readline = stdin.readline
num = int(readline())
d = list(map(int, readline().split()))
k = d[0]
MOD = 1000000007
ans = 0
for i in range(1, num):
    k = lcm(k, d[i])
for i in range(num):
    ans += k // d[i] % MOD
print(ans % MOD)

### FIXED CODE ###

from sys import stdin

def gcd(a, b):
    while b != 0:
        a, b = b, a%b
    return a

def lcm(a, b):
    return (a * b) // gcd(a, b)

readline = stdin.readline
num = int(readline())
d = list(map(int, readline().split()))
k = 1
MOD = 1000000007
ans = 0
for a in d:
    k = lcm(k, a)
for a in d:
    ans += k // a
print(ans % MOD)
### BUGGY CODE ###

list_in = list(map(int,input().split()))
xin = list_in[0]
kin = list_in[1]
din = list_in[2]

now_place = xin

for i in range(kin):
    p_place = now_place + din
    m_place = now_place - din
    if (abs(p_place) < abs(m_place)):
        now_place = p_place
    else:
        now_place = m_place

print(abs(now_place))


### FIXED CODE ###

#memo
"""
繰り返しやった時に絶対値が最小になればよい。
毎回0に近づく動きをさせよう。
"""

list_in = list(map(int,input().split()))
xin = list_in[0]
kin = list_in[1]
din = list_in[2]

now_place = abs(xin)
rem = kin

cnt = min(now_place//din, kin)
now_place -= din * cnt
rem -= cnt

if rem %2 == 1:
    now_place = now_place - din

ans = abs(now_place)

print(ans)
### BUGGY CODE ###

N,D,A=map(int,input().split())
D*=2 # 爆発の長さ
X=[None]*N
for i in range(N):
  X[i]=list(map(int,input().split()))

X=sorted(X,key=lambda x:x[0])
lastX=X[-1][0] # 最後のモンスターの場所
from collections import defaultdict
damage=defaultdict(int)
ans=0
for i in range(len(X)):
  x=X[i][0]
  if X[i][1]>0:
    dele=set()
    for d in damage.items():
      if d[0]<x:
        dele.add(d[0])
      else:
        X[i][1]-=d[1]
        if X[i][1]<=0:
          break
    for p in dele:
      del damage[p]
  if X[i][1]>0:
    turn=(X[i][1]+A-1)//A
    if x+D>lastX:
      damage[lastX]+=turn*A
    else:
      damage[x+D]=turn*A
    ans+=turn
print(ans)


### FIXED CODE ###

N,D,A=map(int,input().split())
D*=2 # 爆発の長さ
X=[None]*N
for i in range(N):
  X[i]=list(map(int,input().split()))

X=sorted(X,key=lambda x:x[0])
lastX=X[-1][0] # 最後のモンスターの場所
from collections import defaultdict
damage=defaultdict(int)
ans=0
for i in range(len(X)):
  x=X[i][0]
  h=X[i][1]
  if h>0:
    dele=set()
    for d in damage.items():
      if d[0]<x:
        dele.add(d[0])
      else:
        h-=d[1]
    for p in dele:
      del damage[p]
  if h>0:
    turn=(h+A-1)//A
    if x+D>lastX:
      damage[lastX]+=turn*A
    else:
      damage[x+D]=turn*A
    ans+=turn
print(ans)