This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "horses.h"
#include <bits/stdc++.h>
#pragma GCC optimize("trapv")
using namespace std;
using ll = long long;
using ld = long double;
const int _N = 5e5 + 7, mod = 1e9 + 7;
const ll inf = 2e18;
int n, m;
ll X[_N], Y[_N];
ll bit[_N];
inline ll mul(ll x, ll y) { return 1ll * (x % mod) * (y % mod) % mod; }
ll faspow(ll x, ll y)
{
if (!y)
return 1ll;
ll ret = faspow(x, y / 2);
ret = 1ll * ret * ret % mod;
if (y & 1)
ret = 1ll * ret * x % mod;
return ret;
}
ll inv(ll x)
{
return faspow(x, mod - 2);
}
void add(int x, ll v, ll old = 1ll)
{
++x;
for (; x < _N; x += x & -x)
bit[x] = mul(bit[x], mul(v, inv(old)));
}
ll eval(int x)
{
++x;
ll ret = 1ll;
for (; x; x -= x & -x)
ret = 1ll * ret * bit[x] % mod;
return ret;
}
ll add(ll x, ll y)
{
return (x + y >= mod ? x + y - mod : x + y);
}
ll solve()
{
ll ret = 1ll;
ll suf = 1ll;
int i = n - 1;
int cnt = 0;
double tot = 0;
double mx = 0;
int k = 0;
int de = n - 1;
double lg = 0;
for (int j = n - 1; ~j; --j)
{
lg += log(X[j]);
de = j;
if (lg > log(1e9))
{
break;
}
}
for (int i = 0; i < de; ++i)
tot += log(X[i]);
for (int j = de; j < n; ++j)
{
tot += log(X[j]);
if (tot + log(Y[j]) > mx)
{
k = j;
mx = tot + log(Y[j]);
}
}
return mul(eval(k), Y[k]);
}
int init(int N, int _X[], int _Y[])
{
n = N;
fill(bit, bit + _N, 1);
for (int i = 0; i < N; ++i)
{
add(i, _X[i]);
X[i] = _X[i];
Y[i] = _Y[i];
}
return solve();
}
int updateX(int pos, int val)
{
add(pos, val, X[pos]);
X[pos] = val;
return solve();
}
int updateY(int pos, int val)
{
Y[pos] = val;
return solve();
}
Compilation message (stderr)
horses.cpp: In function 'll solve()':
horses.cpp:74:18: warning: declaration of 'i' shadows a previous local [-Wshadow]
74 | for (int i = 0; i < de; ++i)
| ^
horses.cpp:57:13: note: shadowed declaration is here
57 | int i = n - 1;
| ^
horses.cpp:55:12: warning: unused variable 'ret' [-Wunused-variable]
55 | ll ret = 1ll;
| ^~~
horses.cpp:56:12: warning: unused variable 'suf' [-Wunused-variable]
56 | ll suf = 1ll;
| ^~~
horses.cpp:57:13: warning: unused variable 'i' [-Wunused-variable]
57 | int i = n - 1;
| ^
horses.cpp:58:13: warning: unused variable 'cnt' [-Wunused-variable]
58 | int cnt = 0;
| ^~~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:98:21: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
98 | return solve();
| ~~~~~^~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:105:21: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
105 | return solve();
| ~~~~~^~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:111:21: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
111 | return solve();
| ~~~~~^~
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