oj.uz

Submission #996424

# Submission time Handle Problem Language Result Execution time Memory
996424 2024-06-10T14:59:12 Z phoenix Horses (IOI15_horses) C++17
100 / 100
 227 ms 41556 KB 
#include<bits/stdc++.h>
// #include "horses.h"

using namespace std;
using ll = long long;

const int MOD = 1e9 + 7;

const int N = (1 << 19);
int n;
ll y[N];

int mx[2 * N];

struct Z {
    bool over = 0;
    ll x = 1;
};
Z t[2 * N];
void updX(int pos, int val) {
    for(t[pos += N].x = val; pos > 1; pos >>= 1) {
        t[pos >> 1].over = (t[pos].over | t[(pos ^ 1)].over | (t[pos].x * t[(pos ^ 1)].x >= MOD));
        t[pos >> 1].x = (t[pos].x * t[(pos ^ 1)].x) % MOD;
    }
}
Z get(int ql, int qr) {
    Z res;
    for(ql += N, qr += N + 1; ql < qr; ql >>= 1, qr >>= 1) {
        if(ql & 1) {
            res.over = (res.over | t[ql].over | (res.x * t[ql].x >= MOD));
            res.x = (res.x * t[ql].x) % MOD;
            ql++;
        }   
        if(qr & 1) {
            qr--;
            res.over = (res.over | t[qr].over | (res.x * t[qr].x >= MOD));
            res.x = (res.x * t[qr].x) % MOD;
        }
    }
    return res;
}
void build(int l = 0, int r = N - 1, int v = 1) {
    if(l == r) {
        mx[v] = l;
        return; 
    }
    int m = (l + r) / 2;
    build(l, m, 2 * v);
    build(m + 1, r, 2 * v + 1);
    Z x = get(mx[2 * v] + 1, mx[2 * v + 1]);
    mx[v] = mx[2 * v + (x.over || x.x * y[mx[2 * v + 1]] >= y[mx[2 * v]])];
}
void update(int pos) {
    for(pos += N, pos >>= 1; pos; pos >>= 1) {
        Z x = get(mx[2 * pos] + 1, mx[2 * pos + 1]);
        mx[pos] = mx[2 * pos + (x.over || x.x * y[mx[2 * pos + 1]] >= y[mx[2 * pos]])];
    }
}

int init(int N, int X[], int Y[]) {
    n = N;
    for(int i = 0; i < n; i++) {
        y[i] = Y[i];
        updX(i, X[i]);
    }
    build();
    return (y[mx[1]] * get(0, mx[1]).x) % MOD;
}

int updateX(int pos, int val) {
    updX(pos, val);
    update(pos);
    return (y[mx[1]] * get(0, mx[1]).x) % MOD;
}

int updateY(int pos, int val) {
    y[pos] = val;
    update(pos);
    return (y[mx[1]] * get(0, mx[1]).x) % MOD;
}

Compilation message

horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:60:14: warning: declaration of 'N' shadows a global declaration [-Wshadow]
   60 | int init(int N, int X[], int Y[]) {
      |          ~~~~^
horses.cpp:9:11: note: shadowed declaration is here
    9 | const int N = (1 << 19);
      |           ^
horses.cpp:67:41: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   67 |     return (y[mx[1]] * get(0, mx[1]).x) % MOD;
      |            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:73:41: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   73 |     return (y[mx[1]] * get(0, mx[1]).x) % MOD;
      |            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:79:41: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   79 |     return (y[mx[1]] * get(0, mx[1]).x) % MOD;
      |            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 4700 KB Output is correct
2 Correct 7 ms 4700 KB Output is correct
3 Correct 7 ms 4700 KB Output is correct
4 Correct 7 ms 4700 KB Output is correct
5 Correct 7 ms 4700 KB Output is correct
6 Correct 8 ms 4696 KB Output is correct
7 Correct 11 ms 4700 KB Output is correct
8 Correct 8 ms 4696 KB Output is correct
9 Correct 7 ms 4700 KB Output is correct
10 Correct 7 ms 4696 KB Output is correct
11 Correct 7 ms 4796 KB Output is correct
12 Correct 8 ms 4700 KB Output is correct
13 Correct 8 ms 4700 KB Output is correct
14 Correct 12 ms 4804 KB Output is correct
15 Correct 8 ms 4700 KB Output is correct
16 Correct 8 ms 4696 KB Output is correct
17 Correct 8 ms 4696 KB Output is correct
18 Correct 7 ms 4700 KB Output is correct
19 Correct 8 ms 4696 KB Output is correct
20 Correct 7 ms 4700 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 4700 KB Output is correct
2 Correct 7 ms 4700 KB Output is correct
3 Correct 7 ms 4700 KB Output is correct
4 Correct 9 ms 4696 KB Output is correct
5 Correct 7 ms 4696 KB Output is correct
6 Correct 7 ms 4700 KB Output is correct
7 Correct 9 ms 4700 KB Output is correct
8 Correct 8 ms 4696 KB Output is correct
9 Correct 9 ms 4696 KB Output is correct
10 Correct 8 ms 4696 KB Output is correct
11 Correct 8 ms 4696 KB Output is correct
12 Correct 7 ms 4700 KB Output is correct
13 Correct 7 ms 4708 KB Output is correct
14 Correct 7 ms 4696 KB Output is correct
15 Correct 8 ms 4700 KB Output is correct
16 Correct 11 ms 4700 KB Output is correct
17 Correct 7 ms 4696 KB Output is correct
18 Correct 7 ms 4700 KB Output is correct
19 Correct 7 ms 4776 KB Output is correct
20 Correct 8 ms 4700 KB Output is correct
21 Correct 8 ms 4700 KB Output is correct
22 Correct 7 ms 4696 KB Output is correct
23 Correct 9 ms 4696 KB Output is correct
24 Correct 10 ms 4700 KB Output is correct
25 Correct 9 ms 4876 KB Output is correct
26 Correct 8 ms 4700 KB Output is correct
27 Correct 8 ms 4696 KB Output is correct
28 Correct 8 ms 4700 KB Output is correct
29 Correct 8 ms 4700 KB Output is correct
30 Correct 9 ms 4700 KB Output is correct
31 Correct 8 ms 4696 KB Output is correct
32 Correct 8 ms 4700 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 139 ms 32748 KB Output is correct
2 Correct 163 ms 41552 KB Output is correct
3 Correct 163 ms 32596 KB Output is correct
4 Correct 182 ms 36432 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4700 KB Output is correct
2 Correct 8 ms 4700 KB Output is correct
3 Correct 8 ms 4700 KB Output is correct
4 Correct 8 ms 4700 KB Output is correct
5 Correct 8 ms 4700 KB Output is correct
6 Correct 8 ms 4772 KB Output is correct
7 Correct 8 ms 4696 KB Output is correct
8 Correct 8 ms 4700 KB Output is correct
9 Correct 9 ms 4700 KB Output is correct
10 Correct 10 ms 4700 KB Output is correct
11 Correct 8 ms 4700 KB Output is correct
12 Correct 7 ms 4696 KB Output is correct
13 Correct 7 ms 4696 KB Output is correct
14 Correct 7 ms 4700 KB Output is correct
15 Correct 8 ms 4696 KB Output is correct
16 Correct 7 ms 4696 KB Output is correct
17 Correct 9 ms 4700 KB Output is correct
18 Correct 10 ms 4700 KB Output is correct
19 Correct 7 ms 4700 KB Output is correct
20 Correct 8 ms 4700 KB Output is correct
21 Correct 8 ms 4696 KB Output is correct
22 Correct 8 ms 4700 KB Output is correct
23 Correct 9 ms 4696 KB Output is correct
24 Correct 8 ms 4700 KB Output is correct
25 Correct 8 ms 4700 KB Output is correct
26 Correct 8 ms 4700 KB Output is correct
27 Correct 9 ms 4700 KB Output is correct
28 Correct 9 ms 4684 KB Output is correct
29 Correct 8 ms 4700 KB Output is correct
30 Correct 9 ms 4700 KB Output is correct
31 Correct 9 ms 4700 KB Output is correct
32 Correct 9 ms 4700 KB Output is correct
33 Correct 88 ms 31904 KB Output is correct
34 Correct 91 ms 32080 KB Output is correct
35 Correct 95 ms 38992 KB Output is correct
36 Correct 97 ms 39264 KB Output is correct
37 Correct 75 ms 30032 KB Output is correct
38 Correct 74 ms 30968 KB Output is correct
39 Correct 68 ms 30032 KB Output is correct
40 Correct 80 ms 33904 KB Output is correct
41 Correct 68 ms 30032 KB Output is correct
42 Correct 68 ms 30036 KB Output is correct
43 Correct 76 ms 34196 KB Output is correct
44 Correct 76 ms 34384 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 4700 KB Output is correct
2 Correct 7 ms 4700 KB Output is correct
3 Correct 7 ms 4700 KB Output is correct
4 Correct 7 ms 4700 KB Output is correct
5 Correct 8 ms 4672 KB Output is correct
6 Correct 7 ms 4700 KB Output is correct
7 Correct 7 ms 4756 KB Output is correct
8 Correct 7 ms 4696 KB Output is correct
9 Correct 7 ms 4700 KB Output is correct
10 Correct 8 ms 4696 KB Output is correct
11 Correct 11 ms 4700 KB Output is correct
12 Correct 7 ms 4700 KB Output is correct
13 Correct 7 ms 4700 KB Output is correct
14 Correct 7 ms 4780 KB Output is correct
15 Correct 7 ms 4696 KB Output is correct
16 Correct 8 ms 4956 KB Output is correct
17 Correct 7 ms 4700 KB Output is correct
18 Correct 8 ms 4696 KB Output is correct
19 Correct 8 ms 4700 KB Output is correct
20 Correct 9 ms 4696 KB Output is correct
21 Correct 8 ms 4696 KB Output is correct
22 Correct 7 ms 4700 KB Output is correct
23 Correct 11 ms 4700 KB Output is correct
24 Correct 9 ms 4700 KB Output is correct
25 Correct 10 ms 4700 KB Output is correct
26 Correct 8 ms 4696 KB Output is correct
27 Correct 8 ms 4700 KB Output is correct
28 Correct 9 ms 4700 KB Output is correct
29 Correct 9 ms 4700 KB Output is correct
30 Correct 9 ms 4696 KB Output is correct
31 Correct 8 ms 4700 KB Output is correct
32 Correct 10 ms 4700 KB Output is correct
33 Correct 137 ms 32792 KB Output is correct
34 Correct 164 ms 41556 KB Output is correct
35 Correct 153 ms 32592 KB Output is correct
36 Correct 170 ms 36688 KB Output is correct
37 Correct 91 ms 31928 KB Output is correct
38 Correct 95 ms 32052 KB Output is correct
39 Correct 96 ms 38976 KB Output is correct
40 Correct 98 ms 38876 KB Output is correct
41 Correct 70 ms 30036 KB Output is correct
42 Correct 70 ms 31064 KB Output is correct
43 Correct 63 ms 30032 KB Output is correct
44 Correct 77 ms 33876 KB Output is correct
45 Correct 75 ms 30036 KB Output is correct
46 Correct 66 ms 30128 KB Output is correct
47 Correct 79 ms 34224 KB Output is correct
48 Correct 73 ms 34384 KB Output is correct
49 Correct 213 ms 33876 KB Output is correct
50 Correct 227 ms 33872 KB Output is correct
51 Correct 163 ms 40784 KB Output is correct
52 Correct 154 ms 40348 KB Output is correct
53 Correct 155 ms 32340 KB Output is correct
54 Correct 127 ms 32848 KB Output is correct
55 Correct 114 ms 31212 KB Output is correct
56 Correct 135 ms 35668 KB Output is correct
57 Correct 150 ms 31824 KB Output is correct
58 Correct 146 ms 32084 KB Output is correct
59 Correct 77 ms 34388 KB Output is correct