oj.uz

Submission #984252

# Submission time Handle Problem Language Result Execution time Memory
984252 2024-05-16T12:07:26 Z LucaIlie Horses (IOI15_horses) C++17
34 / 100
 1500 ms 58088 KB 
#include "horses.h"
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 5e5;
const int MOD = 1e9 + 7;

struct AIB1 {
    int aib[MAX_N + 1];

    void init() {
        for ( int i = 0; i <= MAX_N; i++ )
            aib[i] = 1;
    }

    void update( int i, int x ) {
        while ( i <= MAX_N ) {
            aib[i] = (long long)aib[i] * x % MOD;
            i += (i & -i);
        }
    }

    int query( int i ) {
        int p = 1;
        while ( i > 0 ) {
            p = (long long)p * aib[i] % MOD;
            i -= (i & -i);
        }
        return p;
    }
} horses;

struct AIB2 {
    long double aib[MAX_N + 1];

    void init() {
        for ( int i = 0; i <= MAX_N; i++ )
            aib[i] = 0;
    }

    void update( int i, long double x ) {
        while ( i <= MAX_N ) {
            aib[i] += x;
            i += (i & -i);
        }
    }

    long double query( int i ) {
        long double p = 0;
        while ( i > 0 ) {
            p += aib[i];
            i -= (i & -i);
        }
        return p;
    }
} cost;

int lgPut( int a, int n ) {
    if ( n == 0 )
        return 1;

    int p = lgPut( a, n / 2 );
    p = (long long)p * p % MOD;
    if ( n % 2 == 1 )
        p = (long long)p * a % MOD;

    return p;
}

int inv( int x ) {
    return lgPut( x, MOD - 2 );
}

int n;
int x[MAX_N + 1], y[MAX_N + 1];
set<pair<long double, int>> s;


void calc() {
    s.clear();
    horses.init();
    cost.init();
    for ( int i = 1; i <= n; i++ ) {
        horses.update( i, x[i] );
        cost.update( i, log( x[i] ) );
        s.insert( { cost.query( i ) + log( y[i] ), i } );
    }
}
void calc2() {
    s.clear();
    for ( int i = 1; i <= n; i++ ) {
        s.insert( { cost.query( i ) + log( y[i] ), i } );
    }
}

int answer() {
    int i = s.rbegin()->second;
    return (long long)horses.query( i ) * y[i] % MOD;
}

int init( int N, int X[], int Y[] ) {
    n = N;

    for ( int i = n - 1; i >= 0; i-- )
        x[i + 1] = X[i], y[i + 1] = Y[i];


    calc();
    return answer();
}

int updateX( int pos, int val ) {
    int i = pos + 1;

    s.erase( { cost.query( i ) + log( y[i] ), i } );
    cost.update( i, -log( x[i] ) );
    horses.update( i, inv( x[i] ) );

    x[i] = val;

    cost.update( i, log( x[i] ) );
    horses.update( i, x[i] );
    s.insert( { cost.query( i ) + log( y[i] ), i } );
  
  	calc2();

    return answer();
}

int updateY( int pos, int val ) {
    int i = pos + 1;

    s.erase( { cost.query( i ) + log( y[i] ), i } );
    y[i] = val;
    s.insert( { cost.query( i ) + log( y[i] ), i } );


    return answer();
}

Compilation message

horses.cpp: In member function 'void AIB1::update(int, int)':
horses.cpp:19:44: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   19 |             aib[i] = (long long)aib[i] * x % MOD;
      |                      ~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In member function 'int AIB1::query(int)':
horses.cpp:27:39: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   27 |             p = (long long)p * aib[i] % MOD;
      |                 ~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int lgPut(int, int)':
horses.cpp:64:26: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   64 |     p = (long long)p * p % MOD;
      |         ~~~~~~~~~~~~~~~~~^~~~~
horses.cpp:66:30: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   66 |         p = (long long)p * a % MOD;
      |             ~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int answer()':
horses.cpp:99:48: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   99 |     return (long long)horses.query( i ) * y[i] % MOD;
      |            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13912 KB Output is correct
2 Correct 3 ms 13916 KB Output is correct
3 Correct 3 ms 13916 KB Output is correct
4 Correct 2 ms 13912 KB Output is correct
5 Correct 2 ms 13916 KB Output is correct
6 Correct 2 ms 13916 KB Output is correct
7 Correct 2 ms 13912 KB Output is correct
8 Correct 3 ms 13912 KB Output is correct
9 Correct 3 ms 13916 KB Output is correct
10 Correct 2 ms 13916 KB Output is correct
11 Correct 2 ms 14168 KB Output is correct
12 Correct 2 ms 13912 KB Output is correct
13 Correct 2 ms 13916 KB Output is correct
14 Correct 2 ms 13916 KB Output is correct
15 Correct 2 ms 13916 KB Output is correct
16 Correct 2 ms 13916 KB Output is correct
17 Correct 2 ms 13916 KB Output is correct
18 Correct 2 ms 13916 KB Output is correct
19 Correct 3 ms 13916 KB Output is correct
20 Correct 2 ms 13916 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13912 KB Output is correct
2 Correct 2 ms 13916 KB Output is correct
3 Correct 2 ms 13916 KB Output is correct
4 Correct 2 ms 13916 KB Output is correct
5 Correct 2 ms 13912 KB Output is correct
6 Correct 2 ms 13912 KB Output is correct
7 Correct 3 ms 13916 KB Output is correct
8 Correct 2 ms 13760 KB Output is correct
9 Correct 3 ms 13916 KB Output is correct
10 Correct 2 ms 14112 KB Output is correct
11 Correct 2 ms 13916 KB Output is correct
12 Correct 3 ms 13916 KB Output is correct
13 Correct 2 ms 13760 KB Output is correct
14 Correct 2 ms 13916 KB Output is correct
15 Correct 3 ms 13916 KB Output is correct
16 Correct 3 ms 13916 KB Output is correct
17 Correct 2 ms 13916 KB Output is correct
18 Correct 3 ms 13912 KB Output is correct
19 Correct 2 ms 13916 KB Output is correct
20 Correct 3 ms 13916 KB Output is correct
21 Correct 2 ms 13916 KB Output is correct
22 Correct 2 ms 13916 KB Output is correct
23 Correct 62 ms 14048 KB Output is correct
24 Correct 60 ms 13916 KB Output is correct
25 Correct 49 ms 13916 KB Output is correct
26 Correct 51 ms 13916 KB Output is correct
27 Correct 73 ms 14064 KB Output is correct
28 Correct 115 ms 14040 KB Output is correct
29 Correct 92 ms 13984 KB Output is correct
30 Correct 92 ms 13916 KB Output is correct
31 Correct 6 ms 13912 KB Output is correct
32 Correct 49 ms 13912 KB Output is correct

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 213 ms 58068 KB Output is correct
2 Execution timed out 1537 ms 57292 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13916 KB Output is correct
2 Correct 2 ms 13928 KB Output is correct
3 Correct 2 ms 13916 KB Output is correct
4 Correct 2 ms 13916 KB Output is correct
5 Correct 2 ms 13916 KB Output is correct
6 Correct 3 ms 13744 KB Output is correct
7 Correct 3 ms 13916 KB Output is correct
8 Correct 3 ms 13812 KB Output is correct
9 Correct 2 ms 13916 KB Output is correct
10 Correct 3 ms 14072 KB Output is correct
11 Correct 3 ms 13916 KB Output is correct
12 Correct 2 ms 13916 KB Output is correct
13 Correct 2 ms 13960 KB Output is correct
14 Correct 2 ms 13916 KB Output is correct
15 Correct 2 ms 13916 KB Output is correct
16 Correct 2 ms 13912 KB Output is correct
17 Correct 2 ms 13916 KB Output is correct
18 Correct 2 ms 13760 KB Output is correct
19 Correct 2 ms 13916 KB Output is correct
20 Correct 3 ms 13912 KB Output is correct
21 Correct 3 ms 13916 KB Output is correct
22 Correct 3 ms 13916 KB Output is correct
23 Correct 62 ms 13916 KB Output is correct
24 Correct 59 ms 14048 KB Output is correct
25 Correct 52 ms 14040 KB Output is correct
26 Correct 51 ms 13916 KB Output is correct
27 Correct 72 ms 13912 KB Output is correct
28 Correct 106 ms 13912 KB Output is correct
29 Correct 92 ms 13916 KB Output is correct
30 Correct 90 ms 13912 KB Output is correct
31 Correct 6 ms 13916 KB Output is correct
32 Correct 49 ms 13916 KB Output is correct
33 Execution timed out 1533 ms 57164 KB Time limit exceeded
34 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13912 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 2 ms 13968 KB Output is correct
4 Correct 2 ms 13916 KB Output is correct
5 Correct 2 ms 13916 KB Output is correct
6 Correct 3 ms 13916 KB Output is correct
7 Correct 3 ms 13916 KB Output is correct
8 Correct 2 ms 13916 KB Output is correct
9 Correct 2 ms 13916 KB Output is correct
10 Correct 2 ms 13912 KB Output is correct
11 Correct 2 ms 13916 KB Output is correct
12 Correct 3 ms 13960 KB Output is correct
13 Correct 3 ms 13916 KB Output is correct
14 Correct 2 ms 13916 KB Output is correct
15 Correct 3 ms 13916 KB Output is correct
16 Correct 2 ms 13916 KB Output is correct
17 Correct 2 ms 13916 KB Output is correct
18 Correct 2 ms 13916 KB Output is correct
19 Correct 2 ms 13916 KB Output is correct
20 Correct 3 ms 13916 KB Output is correct
21 Correct 2 ms 13916 KB Output is correct
22 Correct 2 ms 13760 KB Output is correct
23 Correct 68 ms 14068 KB Output is correct
24 Correct 59 ms 13916 KB Output is correct
25 Correct 50 ms 13916 KB Output is correct
26 Correct 57 ms 14048 KB Output is correct
27 Correct 62 ms 13916 KB Output is correct
28 Correct 105 ms 13916 KB Output is correct
29 Correct 92 ms 13912 KB Output is correct
30 Correct 90 ms 14040 KB Output is correct
31 Correct 6 ms 13916 KB Output is correct
32 Correct 49 ms 14052 KB Output is correct
33 Correct 212 ms 58088 KB Output is correct
34 Execution timed out 1523 ms 57168 KB Time limit exceeded
35 Halted 0 ms 0 KB -