Submission #408740

# Submission time Handle Problem Language Result Execution time Memory
408740 2021-05-19T15:07:45 Z pliam Horses (IOI15_horses) C++14
100 / 100
765 ms 46128 KB
#include "horses.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define INF (ll)1000000005//biggest than max Y
#define MOD (ll)1000000007//modulo for evaluation
#define MAXN 500005

ll x[MAXN],y[MAXN];
int mxst[4*MAXN];
pair<ll,ll> prst[4*MAXN];//(real,mod);
int n;

ll pr(ll a,ll b){
	return ((a*b)>=INF)?INF:(a*b);
}

ll prmod(ll a,ll b){
	return (a*b)%MOD;
}

pair<ll,ll> pr(pair<ll,ll> a,pair<ll,ll> b){
	return {pr(a.first,b.first),prmod(a.second,b.second)};
}

void prbuild(int v=1,int start=0,int end=n-1){
	if(start==end){
		prst[v]={x[start],x[start]};
		return;
	}
	int mid=(start+end)/2;
	prbuild(2*v,start,mid);
	prbuild(2*v+1,mid+1,end);
	prst[v]=pr(prst[2*v],prst[2*v+1]);
}

void prupdate(int pos,int v=1,int start=0,int end=n-1){
	if(start==end){
		prst[v]={x[start],x[start]};
		return;
	}
	int mid=(start+end)/2;
	if(pos<=mid){
		prupdate(pos,2*v,start,mid);
	}else{
		prupdate(pos,2*v+1,mid+1,end);
	}
	prst[v]=pr(prst[2*v],prst[2*v+1]);
}

pair<ll,ll> prquery(int from,int to,int v=1,int start=0,int end=n-1){
	if(start==from&&end==to){
		return prst[v];
	}
	int mid=(start+end)/2;
	if(to<=mid){
		return prquery(from,to,2*v,start,mid);
	}else if(from>mid){
		return prquery(from,to,2*v+1,mid+1,end);
	}else{
		return pr(prquery(from,mid,2*v,start,mid),prquery(mid+1,to,2*v+1,mid+1,end));
	}
}

int mx(int i,int j){//i<j
	return (y[i]>pr(prquery(i+1,j).first,y[j]))?i:j;
}

void mxbuild(int v=1,int start=0,int end=n-1){
	if(start==end){
		mxst[v]=start;
		return;
	}
	int mid=(start+end)/2;
	mxbuild(2*v,start,mid);
	mxbuild(2*v+1,mid+1,end);
	mxst[v]=mx(mxst[2*v],mxst[2*v+1]);
}

void mxupdate(int pos,int v=1,int start=0,int end=n-1){
	if(start==end){
		mxst[v]=start;
		return;
	}
	int mid=(start+end)/2;
	if(pos<=mid){
		mxupdate(pos,2*v,start,mid);
	}else{
		mxupdate(pos,2*v+1,mid+1,end);
	}
	mxst[v]=mx(mxst[2*v],mxst[2*v+1]);
}

int evaluate(){
	int i=mxst[1];
	return prmod(prquery(0,i).second,y[i]);
}

int init(int N, int X[], int Y[]) {
	n=N;
	for(int i=0;i<n;i++){
		x[i]=X[i];
		y[i]=Y[i];
	}
	prbuild();
	mxbuild();
	return evaluate();
}

int updateX(int pos, int val) {	
	x[pos]=val;
	prupdate(pos);
	mxupdate(pos);
	return evaluate();
}

int updateY(int pos, int val) {
	y[pos]=val;
	mxupdate(pos);
	return evaluate();
}

Compilation message

horses.cpp: In function 'int evaluate()':
horses.cpp:96:14: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   96 |  return prmod(prquery(0,i).second,y[i]);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 3 ms 332 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 2 ms 332 KB Output is correct
27 Correct 2 ms 332 KB Output is correct
28 Correct 2 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 2 ms 332 KB Output is correct
31 Correct 3 ms 332 KB Output is correct
32 Correct 2 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 303 ms 35216 KB Output is correct
2 Correct 371 ms 46060 KB Output is correct
3 Correct 484 ms 37236 KB Output is correct
4 Correct 488 ms 41172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 248 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 3 ms 332 KB Output is correct
24 Correct 3 ms 388 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 2 ms 332 KB Output is correct
27 Correct 2 ms 332 KB Output is correct
28 Correct 2 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 2 ms 332 KB Output is correct
31 Correct 2 ms 332 KB Output is correct
32 Correct 2 ms 332 KB Output is correct
33 Correct 178 ms 32576 KB Output is correct
34 Correct 147 ms 36516 KB Output is correct
35 Correct 138 ms 43540 KB Output is correct
36 Correct 122 ms 43372 KB Output is correct
37 Correct 110 ms 34720 KB Output is correct
38 Correct 104 ms 35668 KB Output is correct
39 Correct 82 ms 34596 KB Output is correct
40 Correct 99 ms 38468 KB Output is correct
41 Correct 118 ms 34644 KB Output is correct
42 Correct 87 ms 34708 KB Output is correct
43 Correct 102 ms 38856 KB Output is correct
44 Correct 112 ms 38896 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 2 ms 332 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 2 ms 332 KB Output is correct
28 Correct 2 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 2 ms 332 KB Output is correct
31 Correct 2 ms 332 KB Output is correct
32 Correct 2 ms 332 KB Output is correct
33 Correct 312 ms 35232 KB Output is correct
34 Correct 360 ms 46128 KB Output is correct
35 Correct 445 ms 37224 KB Output is correct
36 Correct 456 ms 41164 KB Output is correct
37 Correct 163 ms 36496 KB Output is correct
38 Correct 147 ms 36480 KB Output is correct
39 Correct 132 ms 43460 KB Output is correct
40 Correct 121 ms 43568 KB Output is correct
41 Correct 121 ms 34756 KB Output is correct
42 Correct 110 ms 35652 KB Output is correct
43 Correct 83 ms 34580 KB Output is correct
44 Correct 101 ms 38508 KB Output is correct
45 Correct 105 ms 34828 KB Output is correct
46 Correct 91 ms 34728 KB Output is correct
47 Correct 93 ms 38840 KB Output is correct
48 Correct 93 ms 38916 KB Output is correct
49 Correct 765 ms 38592 KB Output is correct
50 Correct 707 ms 38588 KB Output is correct
51 Correct 379 ms 45472 KB Output is correct
52 Correct 217 ms 44888 KB Output is correct
53 Correct 504 ms 37020 KB Output is correct
54 Correct 331 ms 37456 KB Output is correct
55 Correct 197 ms 35796 KB Output is correct
56 Correct 214 ms 40376 KB Output is correct
57 Correct 359 ms 36276 KB Output is correct
58 Correct 265 ms 36804 KB Output is correct
59 Correct 91 ms 38856 KB Output is correct