#include<bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define all(v) v.begin(),v.end()
#define ll __int128_t
template<typename T>
void dbg_out(const T& t){
cout<<t<<endl;
}
template<typename T,typename... Args>
void dbg_out(const T& t,const Args&... args){
cout<<t<<" , ";
dbg_out(args...);
}
#define dbg(...) cout<<"("<<#__VA_ARGS__<<"): ";dbg_out(__VA_ARGS__);
const ll mod=1e9+7;
const int maxn=2000;
int n;
vector<ll> x;
vector<ll> y;
ll binpow(int a,int b){
ll ans=1;
while(b){
if(b&1) ans=(ans%mod*a%mod)%mod;
b>>=1;
a=(a%mod*a%mod)%mod;
}
return ans;
}
ll invmod(int a){
return binpow(a,mod-2);
}
__int128_t ymx=1e18;
__int128_t pref=1;
void print(__int128 x) {
if (x < 0) {
putchar('-');
x = -x;
}
if (x > 9) print(x / 10);
putchar(x % 10 + '0');
}
ll solve(){
__int128_t suff=1;
__int128_t p=pref;
for(int i=n-1;i>=0;i--){
suff=max(suff*x[i],1LL*x[i]*y[i]);
p=p*invmod(x[i])%mod;
if(suff>=ymx){
return (p*suff%mod)%mod;
}
}
return (suff%mod)%mod;
}
int init(int N, int X[], int Y[]) {
n=N;
x.resize(n,0);
y.resize(n,0);
for(int i=0;i<n;i++){
x[i]=X[i];
pref=pref*x[i]%mod;
}
// print(pref);
for(int i=0;i<n;i++){
y[i]=Y[i];
}
return (int)((ll)solve()%mod);
}
int updateX(int pos, int val) {
pref=(pref%mod*invmod(x[pos])%mod)%mod;
x[pos]=val;
x[pos]%=mod;
pref=(pref%mod*x[pos]%mod)%mod;
return solve()%mod;
}
int updateY(int pos, int val) {
y[pos]=val;
y[pos]%=mod;
return solve()%mod;
}
#ifdef IOI
static char _buffer[1024];
static int _currentChar = 0;
static int _charsNumber = 0;
static FILE *_inputFile, *_outputFile;
static inline int _read() {
if (_charsNumber < 0) {
exit(1);
}
if (!_charsNumber || _currentChar == _charsNumber) {
_charsNumber = (int)fread(_buffer, sizeof(_buffer[0]), sizeof(_buffer), _inputFile);
_currentChar = 0;
}
if (_charsNumber <= 0) {
return -1;
}
return _buffer[_currentChar++];
}
static inline int _readInt() {
int c, x, s;
c = _read();
while (c <= 32) c = _read();
x = 0;
s = 1;
if (c == '-') {
s = -1;
c = _read();
}
while (c > 32) {
x *= 10;
x += c - '0';
c = _read();
}
if (s < 0) x = -x;
return x;
}
int main() {
// _inputFile = fopen("horses.in", "rb");
// _outputFile = fopen("horses.out", "w");
int N;
cin>>N;
int *X = (int*)malloc(sizeof(int)*(unsigned int)N);
int *Y = (int*)malloc(sizeof(int)*(unsigned int)N);
for (int i = 0; i < N; i++) {
cin>>X[i];
}
for (int i = 0; i < N; i++) {
cin>>Y[i];
}
cout<<init(N,X,Y)<<endl;
int M;
// M = _readInt();
cin>>M;
for (int i = 0; i < M; i++) {
int type;
int pos;
int val;
cin>>type>>pos>>val;
if (type == 1) {
cout<<updateX(pos,val)<<endl;
// fprintf(_outputFile,"%d\n",updateX(pos,val));
} else if (type == 2) {
cout<<updateY(pos,val)<<endl;
// fprintf(_outputFile,"%d\n",updateY(pos,val));
}
}
return 0;
}
#endif
Compilation message
horses.cpp: In function '__int128 binpow(int, int)':
horses.cpp:27:18: warning: conversion from '__int128' to 'int' may change value [-Wconversion]
27 | a=(a%mod*a%mod)%mod;
| ~~~~~~~~~~~~~^~~~
horses.cpp: In function 'void print(__int128)':
horses.cpp:36:21: warning: declaration of 'x' shadows a global declaration [-Wshadow]
36 | void print(__int128 x) {
| ~~~~~~~~~^
horses.cpp:20:12: note: shadowed declaration is here
20 | vector<ll> x;
| ^
horses.cpp:42:20: warning: conversion from '__int128' to 'int' may change value [-Wconversion]
42 | putchar(x % 10 + '0');
| ~~~~~~~^~~~~
horses.cpp: In function '__int128 solve()':
horses.cpp:49:21: warning: conversion from '__gnu_cxx::__alloc_traits<std::allocator<__int128>, __int128>::value_type' {aka '__int128'} to 'int' may change value [-Wconversion]
49 | p=p*invmod(x[i])%mod;
| ^
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:72:30: warning: conversion from '__gnu_cxx::__alloc_traits<std::allocator<__int128>, __int128>::value_type' {aka '__int128'} to 'int' may change value [-Wconversion]
72 | pref=(pref%mod*invmod(x[pos])%mod)%mod;
| ^
horses.cpp:76:16: warning: conversion from '__int128' to 'int' may change value [-Wconversion]
76 | return solve()%mod;
| ~~~~~~~^~~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:82:16: warning: conversion from '__int128' to 'int' may change value [-Wconversion]
82 | return solve()%mod;
| ~~~~~~~^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
436 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
432 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
436 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
436 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
604 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
32 ms |
472 KB |
Output is correct |
24 |
Correct |
2 ms |
344 KB |
Output is correct |
25 |
Correct |
5 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
178 ms |
348 KB |
Output is correct |
28 |
Correct |
11 ms |
348 KB |
Output is correct |
29 |
Correct |
353 ms |
348 KB |
Output is correct |
30 |
Correct |
89 ms |
344 KB |
Output is correct |
31 |
Correct |
316 ms |
348 KB |
Output is correct |
32 |
Correct |
345 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1593 ms |
22720 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
32 ms |
496 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
5 ms |
472 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
171 ms |
468 KB |
Output is correct |
28 |
Correct |
11 ms |
348 KB |
Output is correct |
29 |
Correct |
352 ms |
460 KB |
Output is correct |
30 |
Correct |
91 ms |
344 KB |
Output is correct |
31 |
Correct |
340 ms |
464 KB |
Output is correct |
32 |
Correct |
353 ms |
472 KB |
Output is correct |
33 |
Execution timed out |
1556 ms |
23896 KB |
Time limit exceeded |
34 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
436 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
32 ms |
348 KB |
Output is correct |
24 |
Correct |
2 ms |
448 KB |
Output is correct |
25 |
Correct |
5 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
177 ms |
348 KB |
Output is correct |
28 |
Correct |
11 ms |
348 KB |
Output is correct |
29 |
Correct |
361 ms |
464 KB |
Output is correct |
30 |
Correct |
89 ms |
476 KB |
Output is correct |
31 |
Correct |
330 ms |
464 KB |
Output is correct |
32 |
Correct |
351 ms |
464 KB |
Output is correct |
33 |
Execution timed out |
1535 ms |
24232 KB |
Time limit exceeded |
34 |
Halted |
0 ms |
0 KB |
- |