#include<bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define all(v) v.begin(),v.end()
#define ll long long
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=5e5+1;
int tree[4*maxn];
void update(int node,int l,int r,int ql,int x){
if(l==r){
tree[node]=x;
return;
}
int mid=(l+r)/2;
if(ql<=mid)
update(node<<1,l,mid,ql,x);
if(ql>mid)
update(node<<1|1,mid+1,r,ql,x);
tree[node]=max(tree[node<<1],tree[node<<1|1]);
}
int query(int node,int l,int r,int ql,int qr){
if(ql<=l&&r<=qr) return tree[node];
int mid=(l+r)/2;
int ans=0;
if(ql<=mid) ans=max(ans,query(node<<1,l,mid,ql,qr));
if(qr>mid) ans=max(ans,query(node<<1|1,mid+1,r,ql,qr));
return ans;
}
int n;
vector<ll> x;
vector<ll> y;
set<int,greater<int>> s;
ll ymx=1e9;
ll pref=1;
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);
}
ll solve(){
ll suff=1;
ll p=pref;
int last=n;
for(auto i:s){
suff=max(suff,1LL*query(1,0,n,i,last));
if(suff>=ymx){
suff%=mod;
return (p%mod*suff%mod)%mod;
}
suff*=x[i];
p=(p%mod*invmod(x[i]))%mod;
}
return (suff%mod*p%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];
if(x[i]>1){
s.insert(i);
}
pref=pref*x[i]%mod;
}
for(int i=0;i<n;i++){
y[i]=Y[i];
update(1,0,n,i,y[i]);
}
return (int)((ll)solve()%mod);
}
int updateX(int pos, int val) {
pref=(pref%mod*invmod(x[pos])%mod)%mod;
if(x[pos]>1){
s.erase(pos);
}
x[pos]=val;
x[pos]%=mod;
if(x[pos]>1) s.insert(pos);
pref=(pref%mod*x[pos]%mod)%mod;
return solve()%mod;
}
int updateY(int pos, int val) {
y[pos]=val;
y[pos]%=mod;
update(1,0,n,pos,val);
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 'long long int binpow(int, int)':
horses.cpp:51:18: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
51 | a=(a%mod*a%mod)%mod;
| ~~~~~~~~~~~~~^~~~
horses.cpp: In function 'long long int solve()':
horses.cpp:69:26: warning: conversion from '__gnu_cxx::__alloc_traits<std::allocator<long long int>, long long int>::value_type' {aka 'long long int'} to 'int' may change value [-Wconversion]
69 | p=(p%mod*invmod(x[i]))%mod;
| ^
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:86:22: warning: conversion from '__gnu_cxx::__alloc_traits<std::allocator<long long int>, long long int>::value_type' {aka 'long long int'} to 'int' may change value [-Wconversion]
86 | update(1,0,n,i,y[i]);
| ^
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:92:30: warning: conversion from '__gnu_cxx::__alloc_traits<std::allocator<long long int>, long long int>::value_type' {aka 'long long int'} to 'int' may change value [-Wconversion]
92 | pref=(pref%mod*invmod(x[pos])%mod)%mod;
| ^
horses.cpp:100:16: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
100 | return solve()%mod;
| ~~~~~~~^~~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:107:16: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
107 | return solve()%mod;
| ~~~~~~~^~~~
# |
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 |
348 KB |
Output is correct |
5 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1033 ms |
40720 KB |
Output is correct |
2 |
Correct |
286 ms |
40784 KB |
Output is correct |
3 |
Correct |
395 ms |
40784 KB |
Output is correct |
4 |
Correct |
330 ms |
40784 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 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 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 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 |
Incorrect |
0 ms |
344 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |