oj.uz

Submission #120172

# Submission time Handle Problem Language Result Execution time Memory
120172 2019-06-23T16:17:38 Z dorijanlendvaj Horses (IOI15_horses) C++14
100 / 100
 359 ms 57448 KB 
#include "horses.h"
#define x first
#define y second
#include <bits/stdc++.h>
#define pii pair<int,int>
#define pb push_back
#define ll long long
#define vi vector<int>
#define vl vector<ll>
using namespace std;
const int MOD=1000000007,N=500010,M=1<<19;
const char en='\n';
const ll LLINF=1ll<<60;

int n,x[N],y[N];
set<int> le;
int segP[M*2+10],segM[M*2+10];
pii v[N];

bool debug=0;

void updP(int i,int x)
{
	i+=M;
	segP[i]=x;
	for (i/=2;i;i/=2) segP[i]=segP[i*2]*1ll*segP[i*2+1]%MOD;
}

void updM(int i,int x)
{
	i+=M;
	segM[i]=x;
	for (i/=2;i;i/=2) segM[i]=max(segM[i*2],segM[i*2+1]);
}

int getP(int l,int r,int lo=0,int hi=M,int i=1)
{
	if (lo>=l && hi<=r) return segP[i];
	if (lo>=r || hi<=l) return 1;
	int mid=(lo+hi)/2;
	return getP(l,r,lo,mid,i*2)*1ll*getP(l,r,mid,hi,i*2+1)%MOD;
}

int getM(int l,int r,int lo=0,int hi=M,int i=1)
{
	if (lo>=l && hi<=r) return segM[i];
	if (lo>=r || hi<=l) return 0;
	int mid=(lo+hi)/2;
	return max(getM(l,r,lo,mid,i*2),getM(l,r,mid,hi,i*2+1));
}

#define lll __int128

int getSol()
{
	ll pro=1;
	int e,le;
	for (e=n-1;pro<=MOD-7 && e>=0;e=v[e].x) pro*=x[e],le=e;
	if (debug) cout<<"moram do "<<e<<", umnozak je "<<pro<<endl;
	lll ma=0;
	lll jedan=1;
	int f,lf;
	for (f=n-1;pro && f>=0;f=v[f].x)
	{
		ma=max(ma,pro*jedan*y[f]);
		if (debug) cout<<"na "<<f<<" je pro="<<pro<<", y="<<y[f]<<", le="<<le<<endl;
		pro/=x[f];
		if (debug) cout<<"od "<<f<<" do "<<v[f].x<<" je pro="<<pro<<", max_y="<<v[f].y<<", ma="<<(ll)(ma%MOD)<<endl;
		ma=max(ma,pro*jedan*v[f].y);
		lf=f;
	}
	return (ma%MOD)*getP(0,le)%MOD;
}

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],segP[i+M]=x[i],segM[i+M]=y[i];
	for (int i=n;i<M;++i) segP[i+M]=1;
	for (int i=M-1;i>0;--i) segP[i]=segP[i*2]*1ll*segP[i*2+1]%MOD,segM[i]=max(segM[i*2],segM[i*2+1]);
	if (debug) cout<<"pola inita gotovo"<<endl;
	for (int i=n-1;i>=0;)
	{
		le.insert(i);
		int j=i-1,ma=0;
		while (j>=0 && x[j]==1) ma=max(ma,y[j]),--j;
		v[i]={j,ma};
		if (debug) cout<<"od "<<i<<" do "<<j<<" sa maks="<<ma<<endl;
		i=j;
	}
	//if (debug) cout<<"rjesenje inita je "<<getSol()<<endl;
	return getSol();
}

int updateX(int pos, int val) {
	int sxp=x[pos];
	x[pos]=val;
	updP(pos,val);
	if (sxp==1)
	{
		if (val==1 || pos==n-1) return getSol();
		int z=*le.upper_bound(pos);
		int et=v[z].x;
		v[z]={pos,getM(pos+1,z)};
		v[pos]={et,getM(et+1,pos)};
		le.insert(pos);
		if (debug) for (int i=n-1;i>=0;i=v[i].x) cout<<"od "<<i<<" do "<<v[i].x<<" sa maks="<<v[i].y<<endl;
		return getSol();
	}
	else
	{
		if (val!=1 || pos==n-1)
		{
			return getSol();
		}
		int z=*le.upper_bound(pos);
		v[z]={v[pos].x,getM(v[pos].x+1,z)};
		v[pos]={0,0};
		le.erase(le.find(pos));
		return getSol();
	}
	return getSol();
}

int updateY(int pos, int val) {
	y[pos]=val;
	updM(pos,val);
	if (pos!=n-1)
	{
		int z=*le.upper_bound(pos);
		v[z].y=getM(v[z].x+1,z);
	}
	return getSol();
}

Compilation message

horses.cpp: In function 'void updP(int, int)':
horses.cpp:22:22: warning: declaration of 'first' shadows a global declaration [-Wshadow]
 void updP(int i,int x)
                      ^
horses.cpp:2:11: note: shadowed declaration is here
 #define x first
           ^
horses.cpp:15:7: note: in expansion of macro 'x'
 int n,x[N],y[N];
       ^
horses.cpp:26:53: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
  for (i/=2;i;i/=2) segP[i]=segP[i*2]*1ll*segP[i*2+1]%MOD;
                            ~~~~~~~~~~~~~~~~~~~~~~~~~^~~~
horses.cpp: In function 'void updM(int, int)':
horses.cpp:29:22: warning: declaration of 'first' shadows a global declaration [-Wshadow]
 void updM(int i,int x)
                      ^
horses.cpp:2:11: note: shadowed declaration is here
 #define x first
           ^
horses.cpp:15:7: note: in expansion of macro 'x'
 int n,x[N],y[N];
       ^
horses.cpp: In function 'int getP(int, int, int, int, int)':
horses.cpp:41:56: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
  return getP(l,r,lo,mid,i*2)*1ll*getP(l,r,mid,hi,i*2+1)%MOD;
         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~
horses.cpp: In function 'int getSol()':
horses.cpp:57:8: warning: declaration of 'le' shadows a global declaration [-Wshadow]
  int e,le;
        ^~
horses.cpp:16:10: note: shadowed declaration is here
 set<int> le;
          ^~
horses.cpp:72:28: warning: conversion to 'int' from '__int128' may alter its value [-Wconversion]
  return (ma%MOD)*getP(0,le)%MOD;
         ~~~~~~~~~~~~~~~~~~~^~~~
horses.cpp:62:8: warning: variable 'lf' set but not used [-Wunused-but-set-variable]
  int f,lf;
        ^~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:75:33: warning: declaration of 'N' shadows a global declaration [-Wshadow]
 int init(int N, int X[], int Y[]) {
                                 ^
horses.cpp:11:26: note: shadowed declaration is here
 const int MOD=1000000007,N=500010,M=1<<19;
                          ^
horses.cpp:79:59: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
  for (int i=M-1;i>0;--i) segP[i]=segP[i*2]*1ll*segP[i*2+1]%MOD,segM[i]=max(segM[i*2],segM[i*2+1]);
                                  ~~~~~~~~~~~~~~~~~~~~~~~~~^~~~
horses.cpp: In function 'int getSol()':
horses.cpp:72:22: warning: 'le' may be used uninitialized in this function [-Wmaybe-uninitialized]
  return (ma%MOD)*getP(0,le)%MOD;
                  ~~~~^~~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 6528 KB Output is correct
2 Correct 9 ms 6528 KB Output is correct
3 Correct 8 ms 6528 KB Output is correct
4 Correct 8 ms 6528 KB Output is correct
5 Correct 8 ms 6528 KB Output is correct
6 Correct 8 ms 6528 KB Output is correct
7 Correct 8 ms 6528 KB Output is correct
8 Correct 8 ms 6528 KB Output is correct
9 Correct 7 ms 6528 KB Output is correct
10 Correct 8 ms 6528 KB Output is correct
11 Correct 8 ms 6528 KB Output is correct
12 Correct 8 ms 6528 KB Output is correct
13 Correct 8 ms 6528 KB Output is correct
14 Correct 8 ms 6528 KB Output is correct
15 Correct 9 ms 6528 KB Output is correct
16 Correct 8 ms 6528 KB Output is correct
17 Correct 8 ms 6528 KB Output is correct
18 Correct 8 ms 6528 KB Output is correct
19 Correct 8 ms 6528 KB Output is correct
20 Correct 8 ms 6528 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 6528 KB Output is correct
2 Correct 8 ms 6528 KB Output is correct
3 Correct 8 ms 6576 KB Output is correct
4 Correct 8 ms 6528 KB Output is correct
5 Correct 8 ms 6528 KB Output is correct
6 Correct 8 ms 6528 KB Output is correct
7 Correct 8 ms 6484 KB Output is correct
8 Correct 8 ms 6528 KB Output is correct
9 Correct 8 ms 6528 KB Output is correct
10 Correct 8 ms 6528 KB Output is correct
11 Correct 8 ms 6528 KB Output is correct
12 Correct 8 ms 6528 KB Output is correct
13 Correct 8 ms 6528 KB Output is correct
14 Correct 8 ms 6528 KB Output is correct
15 Correct 8 ms 6540 KB Output is correct
16 Correct 8 ms 6448 KB Output is correct
17 Correct 8 ms 6656 KB Output is correct
18 Correct 8 ms 6528 KB Output is correct
19 Correct 8 ms 6528 KB Output is correct
20 Correct 7 ms 6528 KB Output is correct
21 Correct 8 ms 6528 KB Output is correct
22 Correct 8 ms 6528 KB Output is correct
23 Correct 9 ms 6528 KB Output is correct
24 Correct 9 ms 6528 KB Output is correct
25 Correct 9 ms 6656 KB Output is correct
26 Correct 9 ms 6784 KB Output is correct
27 Correct 9 ms 6528 KB Output is correct
28 Correct 9 ms 6656 KB Output is correct
29 Correct 9 ms 6528 KB Output is correct
30 Correct 9 ms 6656 KB Output is correct
31 Correct 9 ms 6528 KB Output is correct
32 Correct 10 ms 6528 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 296 ms 48560 KB Output is correct
2 Correct 359 ms 57336 KB Output is correct
3 Correct 344 ms 48420 KB Output is correct
4 Correct 274 ms 52344 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 6528 KB Output is correct
2 Correct 9 ms 6528 KB Output is correct
3 Correct 7 ms 6448 KB Output is correct
4 Correct 7 ms 6572 KB Output is correct
5 Correct 8 ms 6528 KB Output is correct
6 Correct 8 ms 6528 KB Output is correct
7 Correct 8 ms 6528 KB Output is correct
8 Correct 8 ms 6528 KB Output is correct
9 Correct 8 ms 6528 KB Output is correct
10 Correct 8 ms 6528 KB Output is correct
11 Correct 8 ms 6528 KB Output is correct
12 Correct 7 ms 6528 KB Output is correct
13 Correct 8 ms 6528 KB Output is correct
14 Correct 8 ms 6528 KB Output is correct
15 Correct 9 ms 6528 KB Output is correct
16 Correct 7 ms 6528 KB Output is correct
17 Correct 8 ms 6528 KB Output is correct
18 Correct 8 ms 6528 KB Output is correct
19 Correct 7 ms 6528 KB Output is correct
20 Correct 8 ms 6528 KB Output is correct
21 Correct 8 ms 6528 KB Output is correct
22 Correct 8 ms 6528 KB Output is correct
23 Correct 9 ms 6528 KB Output is correct
24 Correct 10 ms 6548 KB Output is correct
25 Correct 8 ms 6656 KB Output is correct
26 Correct 9 ms 6532 KB Output is correct
27 Correct 13 ms 6528 KB Output is correct
28 Correct 9 ms 6528 KB Output is correct
29 Correct 9 ms 6528 KB Output is correct
30 Correct 10 ms 6656 KB Output is correct
31 Correct 9 ms 6528 KB Output is correct
32 Correct 10 ms 6732 KB Output is correct
33 Correct 47 ms 24056 KB Output is correct
34 Correct 47 ms 24056 KB Output is correct
35 Correct 208 ms 54648 KB Output is correct
36 Correct 208 ms 54648 KB Output is correct
37 Correct 42 ms 20472 KB Output is correct
38 Correct 107 ms 35320 KB Output is correct
39 Correct 29 ms 18432 KB Output is correct
40 Correct 212 ms 49664 KB Output is correct
41 Correct 36 ms 18552 KB Output is correct
42 Correct 37 ms 18552 KB Output is correct
43 Correct 180 ms 50040 KB Output is correct
44 Correct 190 ms 50012 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 6528 KB Output is correct
2 Correct 8 ms 6528 KB Output is correct
3 Correct 8 ms 6528 KB Output is correct
4 Correct 8 ms 6528 KB Output is correct
5 Correct 8 ms 6528 KB Output is correct
6 Correct 8 ms 6528 KB Output is correct
7 Correct 8 ms 6528 KB Output is correct
8 Correct 8 ms 6528 KB Output is correct
9 Correct 8 ms 6528 KB Output is correct
10 Correct 8 ms 6528 KB Output is correct
11 Correct 8 ms 6528 KB Output is correct
12 Correct 8 ms 6484 KB Output is correct
13 Correct 8 ms 6656 KB Output is correct
14 Correct 8 ms 6528 KB Output is correct
15 Correct 8 ms 6528 KB Output is correct
16 Correct 8 ms 6528 KB Output is correct
17 Correct 8 ms 6528 KB Output is correct
18 Correct 8 ms 6528 KB Output is correct
19 Correct 8 ms 6528 KB Output is correct
20 Correct 8 ms 6528 KB Output is correct
21 Correct 8 ms 6528 KB Output is correct
22 Correct 8 ms 6444 KB Output is correct
23 Correct 9 ms 6528 KB Output is correct
24 Correct 9 ms 6528 KB Output is correct
25 Correct 9 ms 6628 KB Output is correct
26 Correct 10 ms 6656 KB Output is correct
27 Correct 9 ms 6572 KB Output is correct
28 Correct 9 ms 6528 KB Output is correct
29 Correct 8 ms 6528 KB Output is correct
30 Correct 9 ms 6656 KB Output is correct
31 Correct 9 ms 6528 KB Output is correct
32 Correct 9 ms 6528 KB Output is correct
33 Correct 288 ms 48504 KB Output is correct
34 Correct 348 ms 57448 KB Output is correct
35 Correct 322 ms 48380 KB Output is correct
36 Correct 254 ms 52344 KB Output is correct
37 Correct 46 ms 24060 KB Output is correct
38 Correct 46 ms 23992 KB Output is correct
39 Correct 217 ms 54728 KB Output is correct
40 Correct 316 ms 54648 KB Output is correct
41 Correct 45 ms 20600 KB Output is correct
42 Correct 107 ms 35352 KB Output is correct
43 Correct 29 ms 18432 KB Output is correct
44 Correct 190 ms 49768 KB Output is correct
45 Correct 32 ms 18552 KB Output is correct
46 Correct 36 ms 18424 KB Output is correct
47 Correct 187 ms 50168 KB Output is correct
48 Correct 183 ms 50040 KB Output is correct
49 Correct 189 ms 27388 KB Output is correct
50 Correct 202 ms 27388 KB Output is correct
51 Correct 280 ms 56480 KB Output is correct
52 Correct 293 ms 56184 KB Output is correct
53 Correct 197 ms 23716 KB Output is correct
54 Correct 204 ms 39288 KB Output is correct
55 Correct 80 ms 19496 KB Output is correct
56 Correct 283 ms 51448 KB Output is correct
57 Correct 107 ms 20140 KB Output is correct
58 Correct 143 ms 20724 KB Output is correct
59 Correct 191 ms 50144 KB Output is correct