Submission #830392

#	Time	Username	Problem	Language	Result	Execution time	Memory
830392		Supersonic	Horses (IOI15_horses)	C++14	37 / 100	549 ms	73304 KiB

horses

#include "horses.h"
#include <bits/stdc++.h>
using namespace std;
typedef unsigned long long ll;
ll h[500001];
ll x[500001];
ll y[500001];
bool subtask3=1;
int n;
set<int, greater<int>> g1;
ll tree[1048577];
ll ytree[1048577];
unordered_map<ll,int> ry;
void modify(int k, int x) {
	k += n;
	tree[k] = x;
	for (k /= 2; k >= 1; k /= 2) {
		tree[k] = tree[2*k]*tree[2*k+1];
		tree[k]%=((ll)1e9+7);
	}
}
 
ll prod(ll a, ll b) {
	a += n; b += n;
	ll s = 1;
	while (a <= b) {
		if (a%2 == 1) {s *= tree[a++];s%=((ll)1e9+7);}
		if (b%2 == 0) {s *= tree[b--];s%=((ll)1e9+7);}
		a /= 2; b /= 2;
	}
	return s;
}

void ymodify(int k, int x) {
	if(k>2*n)exit(1);
	k += n;
	ytree[k] = x;
	for (k /= 2; k >= 1; k /= 2) {
		ytree[k] = max(ytree[2*k],ytree[2*k+1]);
		ytree[k]%=((ll)1e9+7);
	}
}
ll rmax(ll a,ll b){
	if(b>2*n)exit(1);
	a += n; b += n;
	ll s = 0;
	while (a <= b) {
		if (a%2 == 1) {s = max(s,ytree[a++]);}
		if (b%2 == 0) {s = max(s,ytree[b--]);}
		a /= 2; b /= 2;
	}
	return s;
}


int init(int N, int X[], int Y[]) {
	n=N;
	if(n<=1000)subtask3=0;
	for(int i=0;i<n;i++){
		x[i]=X[i];
		if(x[i]<2)subtask3=0;
		modify(i,x[i]);
		y[i]=Y[i];
		ry[y[i]]=i;
		ymodify(i,y[i]);
		if(x[i]>1)g1.insert(i);
	}
	//if(subtask3)exit(1);
	//cout<<rmax(2,2)<<endl;;

	if(!subtask3){
		ll mp=0;ll c=1;
		for(int i=1;i<n;i++){
			c*=x[i];
			if(c>y[mp]||y[i]>y[mp]||c*y[i]>y[mp]){mp=i;c=1;}
		}
		return (prod(0,mp)*y[mp])%((ll)1e9+7);
	}
	else{
		ll mp=n-33;ll c=1;
		for(int i=n-32;i<n;i++){
			c*=x[i];
			if(c>y[mp]||y[i]>y[mp]||c*y[i]>y[mp]){mp=i;c=1;}
		}
		return (prod(0,mp)*y[mp])%((ll)1e9+7);
	}
}

int sc=500;
int updateX(int pos, int val) {	
	if(val==1&&g1.count(pos))g1.erase(pos);
	if(val>1)g1.insert(pos);
		x[pos]=val;

	sc--;
	if(g1.empty())exit(1);
	//if(sc==0){for(auto i:g1)if(x[i]==1)exit(1);for(int i=0;i<n;i++)if(x[i]==1&&g1.count(i))exit(1);sc=500;}
		modify(pos,val);
		ll c=x[0];ll mp=0;
		vector<int> vv;int cn=34;
		for(auto i:g1){vv.push_back(i);cn--;if(cn==0)break;}
		reverse(vv.begin(),vv.end());
		for(int vvi=0;vvi<vv.size();vvi++){
			int vi=vv[vvi];
			int vni=n-1;if(vvi!=vv.size()-1)vni=vv[vvi+1]-1;
			int i=ry[rmax(vi,vni)];
			if(i>=n)exit(1);
			c*=x[vi];
			if(c>y[mp]||y[i]>y[mp]||c*y[i]>y[mp]){mp=i;c=1;}
		}
		return (prod(0,mp)*y[mp])%((ll)1e9+7);
	
}
 
int updateY(int pos, int val) {
		y[pos]=val;
		ymodify(pos,val);
		ry[y[pos]]=pos;
		ll c=x[0];ll mp=0;
		vector<int> vv;int cn=34;
		for(auto i:g1){vv.push_back(i);cn--;if(cn==0)break;}
		reverse(vv.begin(),vv.end());
		for(int vvi=0;vvi<vv.size();vvi++){
			int vi=vv[vvi];
			int vni=n-1;if(vvi!=vv.size()-1)vni=vv[vvi+1]-1;
			int i=ry[rmax(vi,vni)];
			if(i>=n)exit(1);
			c*=x[vi];
			if(c>y[mp]||y[i]>y[mp]||c*y[i]>y[mp]){mp=i;c=1;}
		}
		return (prod(0,mp)*y[mp])%((ll)1e9+7);
}

Compilation message (stderr)

horses.cpp: In function 'void modify(int, int)':
horses.cpp:14:24: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   14 | void modify(int k, int x) {
      |                    ~~~~^
horses.cpp:6:4: note: shadowed declaration is here
    6 | ll x[500001];
      |    ^
horses.cpp: In function 'void ymodify(int, int)':
horses.cpp:34:25: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   34 | void ymodify(int k, int x) {
      |                     ~~~~^
horses.cpp:6:4: note: shadowed declaration is here
    6 | ll x[500001];
      |    ^
horses.cpp: In function 'll rmax(ll, ll)':
horses.cpp:44:6: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long unsigned int'} and 'int' [-Wsign-compare]
   44 |  if(b>2*n)exit(1);
      |     ~^~~~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:62:15: warning: conversion from 'll' {aka 'long long unsigned int'} to 'int' may change value [-Wconversion]
   62 |   modify(i,x[i]);
      |            ~~~^
horses.cpp:65:16: warning: conversion from 'll' {aka 'long long unsigned int'} to 'int' may change value [-Wconversion]
   65 |   ymodify(i,y[i]);
      |             ~~~^
horses.cpp:77:28: warning: conversion from 'll' {aka 'long long unsigned int'} to 'int' may change value [-Wconversion]
   77 |   return (prod(0,mp)*y[mp])%((ll)1e9+7);
      |          ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
horses.cpp:85:28: warning: conversion from 'll' {aka 'long long unsigned int'} to 'int' may change value [-Wconversion]
   85 |   return (prod(0,mp)*y[mp])%((ll)1e9+7);
      |          ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:103:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  103 |   for(int vvi=0;vvi<vv.size();vvi++){
      |                 ~~~^~~~~~~~~~
horses.cpp:105:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  105 |    int vni=n-1;if(vvi!=vv.size()-1)vni=vv[vvi+1]-1;
      |                   ~~~^~~~~~~~~~~~~
horses.cpp:111:28: warning: conversion from 'll' {aka 'long long unsigned int'} to 'int' may change value [-Wconversion]
  111 |   return (prod(0,mp)*y[mp])%((ll)1e9+7);
      |          ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:123:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  123 |   for(int vvi=0;vvi<vv.size();vvi++){
      |                 ~~~^~~~~~~~~~
horses.cpp:125:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  125 |    int vni=n-1;if(vvi!=vv.size()-1)vni=vv[vvi+1]-1;
      |                   ~~~^~~~~~~~~~~~~
horses.cpp:131:28: warning: conversion from 'll' {aka 'long long unsigned int'} to 'int' may change value [-Wconversion]
  131 |   return (prod(0,mp)*y[mp])%((ll)1e9+7);
      |          ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~

• Subtask 1: 17 / 17
• Subtask 2: 0 / 17
• Subtask 3: 20 / 20
• Subtask 4: 0 / 23
• Subtask 5: 0 / 23