oj.uz

Submission #928409

# Submission time Handle Problem Language Result Execution time Memory
928409 2024-02-16T10:41:47 Z VMaksimoski008 Horses (IOI15_horses) C++14
100 / 100
 205 ms 101264 KB 
#include <bits/stdc++.h>
#include "horses.h"
 

using namespace std; 
using ll = long long;
using Node = pair<double, int>;
 
const int mod = 1e9 + 7;
const int maxn = 1e5 + 5;
 
int n;
vector<int> X(5*maxn), Y(5*maxn), PS(5*maxn);
vector<double> logX(5*maxn), logY(5*maxn), PL(5*maxn);
 
Node merge(Node a, Node b) {
    if(a.first > b.first) return a;
    return b;
}
 
struct SegTree {
    int N;
    vector<ll> prod;
    vector<Node> tree;
    vector<double> lazy;
 
    void init() {
        N = n;
        prod.resize(5*N+5);
        tree.resize(5*N+5);
        lazy.resize(5*N+5);
        build(1, 0, N-1);
    }
 
    void push(int u, int tl, int tr) {
        if(lazy[u] == 0) return ;
 
        tree[u].first += lazy[u];
 
        if(tl != tr) {
            lazy[2*u] += lazy[u];
            lazy[2*u+1] += lazy[u];
        }
 
        lazy[u] = 0;
    }
 
    void build(int u, int tl, int tr) {
        if(tl == tr) {
            tree[u] = { PL[tl] + logY[tl], tl };
            prod[u] = X[tl];
        } else {
            int tm = (tl + tr) / 2;
            build(2*u, tl, tm);
            build(2*u+1, tm+1, tr);
            prod[u] = (prod[2*u] * prod[2*u+1]) % mod;
            tree[u] = merge(tree[2*u], tree[2*u+1]);
        }
    }
 
    void updateProd(int u, int tl, int tr, int pos, int val) {
        if(tl == tr) {
            prod[u] = val;
        } else {
            int tm = (tl + tr) / 2;
            if(pos <= tm)
                updateProd(2*u, tl, tm, pos, val);
            else
                updateProd(2*u+1, tm+1, tr, pos, val);
            prod[u] = (prod[2*u] * prod[2*u+1]) % mod;
        }
    }
 
    void updatePos(int u, int tl, int tr, int l, int r, double val) {
        push(u, tl, tr);
        if(tl > tr || tl > r || l > tr) return ;
 
        if(l <= tl && tr <= r) {
            lazy[u] += val;
            push(u, tl, tr);
            return ;
        }
 
        int tm = (tl + tr) / 2;
        updatePos(2*u, tl, tm, l, r, val);
        updatePos(2*u+1, tm+1, tr, l, r, val);
        tree[u] = merge(tree[2*u], tree[2*u+1]);
    }
 
    ll getProd(int u, int tl, int tr, int l, int r) {
        if(tl > tr || l > tr || tl > r) return 1;
        if(l <= tl && tr <= r) return prod[u];
        int tm = (tl + tr) / 2;
        return (
            getProd(2*u, tl, tm, l, r) *
            getProd(2*u+1, tm+1, tr, l, r)
        ) % mod;
    }
 
    Node getPos(int u, int tl, int tr, int l, int r) {
        if(tl > tr || l > tr || tl > r) return { -1e18, 0 };
        push(u, tl, tr);
        if(l <= tl && tr <= r) return tree[u];
        int tm = (tl + tr) / 2;
        return merge(
            getPos(2*u, tl, tm, l, r),
            getPos(2*u+1, tm+1, tr, l, r)
        );
    }
 
    void updateProd(int pos, int val) { updateProd(1, 0, N-1, pos, val); }
    ll getProd(int p) { return getProd(1, 0, N-1, 0, p); } 
    int getPos() { return getPos(1, 0, N-1, 0, N-1).second; }
    void updatePos(int l, int r, double val) { updatePos(1, 0, N-1, l, r, val); }
} tree;
 
int calc() {
    int pos = tree.getPos();
    ll ans = (tree.getProd(pos) * Y[pos]) % mod;
    return (int)ans;
}
 
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];
        PS[i] = X[i];
        if(i) PS[i] = (1ll * PS[i] * PS[i-1]) % mod;
        logX[i] = log2(X[i]), logY[i] = log2(y[i]);
        PL[i] = logX[i];
        if(i) PL[i] += PL[i-1];
    }
 
    tree.init();
    
    return calc();
}
 
int updateX(int p, int v) {
    tree.updatePos(p, n-1, -logX[p]);
    X[p] = v, logX[p] = log2(v);
    tree.updateProd(p, v);
    tree.updatePos(p, n-1, log2(v));
    return calc();
}
 
int updateY(int p, int v) {
    tree.updatePos(p, p, -logY[p]);
    Y[p] = v, logY[p] = log2(v);
    tree.updatePos(p, p, log2(v));
    return calc();
}

Compilation message

horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:128:47: warning: conversion from 'long long int' to '__gnu_cxx::__alloc_traits<std::allocator<int>, int>::value_type' {aka 'int'} may change value [-Wconversion]
  128 |         if(i) PS[i] = (1ll * PS[i] * PS[i-1]) % mod;
      |                       ~~~~~~~~~~~~~~~~~~~~~~~~^~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 18008 KB Output is correct
2 Correct 6 ms 18012 KB Output is correct
3 Correct 6 ms 18012 KB Output is correct
4 Correct 6 ms 18012 KB Output is correct
5 Correct 5 ms 17964 KB Output is correct
6 Correct 5 ms 18012 KB Output is correct
7 Correct 6 ms 18012 KB Output is correct
8 Correct 6 ms 18012 KB Output is correct
9 Correct 5 ms 18012 KB Output is correct
10 Correct 5 ms 17984 KB Output is correct
11 Correct 5 ms 18008 KB Output is correct
12 Correct 5 ms 18012 KB Output is correct
13 Correct 6 ms 18012 KB Output is correct
14 Correct 6 ms 18012 KB Output is correct
15 Correct 5 ms 18012 KB Output is correct
16 Correct 5 ms 18012 KB Output is correct
17 Correct 7 ms 18008 KB Output is correct
18 Correct 5 ms 18012 KB Output is correct
19 Correct 5 ms 18012 KB Output is correct
20 Correct 5 ms 18012 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 17948 KB Output is correct
2 Correct 8 ms 18264 KB Output is correct
3 Correct 6 ms 17984 KB Output is correct
4 Correct 6 ms 18012 KB Output is correct
5 Correct 5 ms 18012 KB Output is correct
6 Correct 6 ms 17888 KB Output is correct
7 Correct 5 ms 18012 KB Output is correct
8 Correct 6 ms 18012 KB Output is correct
9 Correct 6 ms 17964 KB Output is correct
10 Correct 6 ms 18012 KB Output is correct
11 Correct 6 ms 18012 KB Output is correct
12 Correct 5 ms 18012 KB Output is correct
13 Correct 5 ms 18008 KB Output is correct
14 Correct 6 ms 18012 KB Output is correct
15 Correct 6 ms 18012 KB Output is correct
16 Correct 5 ms 18012 KB Output is correct
17 Correct 6 ms 18012 KB Output is correct
18 Correct 6 ms 17936 KB Output is correct
19 Correct 5 ms 18008 KB Output is correct
20 Correct 5 ms 18012 KB Output is correct
21 Correct 6 ms 18012 KB Output is correct
22 Correct 5 ms 18012 KB Output is correct
23 Correct 6 ms 18012 KB Output is correct
24 Correct 7 ms 18012 KB Output is correct
25 Correct 6 ms 18076 KB Output is correct
26 Correct 7 ms 18012 KB Output is correct
27 Correct 7 ms 18264 KB Output is correct
28 Correct 6 ms 18012 KB Output is correct
29 Correct 6 ms 18008 KB Output is correct
30 Correct 7 ms 18008 KB Output is correct
31 Correct 7 ms 18008 KB Output is correct
32 Correct 7 ms 18012 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 118 ms 101204 KB Output is correct
2 Correct 205 ms 101112 KB Output is correct
3 Correct 175 ms 101200 KB Output is correct
4 Correct 196 ms 101208 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 18012 KB Output is correct
2 Correct 5 ms 18012 KB Output is correct
3 Correct 5 ms 18012 KB Output is correct
4 Correct 6 ms 17888 KB Output is correct
5 Correct 6 ms 18012 KB Output is correct
6 Correct 6 ms 18012 KB Output is correct
7 Correct 6 ms 18012 KB Output is correct
8 Correct 5 ms 17908 KB Output is correct
9 Correct 5 ms 18012 KB Output is correct
10 Correct 5 ms 18012 KB Output is correct
11 Correct 6 ms 18008 KB Output is correct
12 Correct 5 ms 18012 KB Output is correct
13 Correct 6 ms 17988 KB Output is correct
14 Correct 5 ms 18012 KB Output is correct
15 Correct 5 ms 18012 KB Output is correct
16 Correct 6 ms 18008 KB Output is correct
17 Correct 6 ms 18264 KB Output is correct
18 Correct 6 ms 18012 KB Output is correct
19 Correct 5 ms 18012 KB Output is correct
20 Correct 5 ms 18012 KB Output is correct
21 Correct 6 ms 18012 KB Output is correct
22 Correct 5 ms 18012 KB Output is correct
23 Correct 6 ms 18012 KB Output is correct
24 Correct 6 ms 18008 KB Output is correct
25 Correct 6 ms 18012 KB Output is correct
26 Correct 6 ms 18012 KB Output is correct
27 Correct 5 ms 18012 KB Output is correct
28 Correct 6 ms 18008 KB Output is correct
29 Correct 6 ms 18012 KB Output is correct
30 Correct 6 ms 18012 KB Output is correct
31 Correct 6 ms 18012 KB Output is correct
32 Correct 6 ms 18012 KB Output is correct
33 Correct 63 ms 100320 KB Output is correct
34 Correct 59 ms 100180 KB Output is correct
35 Correct 85 ms 100100 KB Output is correct
36 Correct 78 ms 100180 KB Output is correct
37 Correct 48 ms 100176 KB Output is correct
38 Correct 56 ms 100424 KB Output is correct
39 Correct 44 ms 100276 KB Output is correct
40 Correct 65 ms 100216 KB Output is correct
41 Correct 44 ms 100092 KB Output is correct
42 Correct 44 ms 100180 KB Output is correct
43 Correct 61 ms 100176 KB Output is correct
44 Correct 59 ms 100252 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 18012 KB Output is correct
2 Correct 5 ms 17844 KB Output is correct
3 Correct 6 ms 18008 KB Output is correct
4 Correct 6 ms 18012 KB Output is correct
5 Correct 5 ms 17904 KB Output is correct
6 Correct 5 ms 18012 KB Output is correct
7 Correct 5 ms 18012 KB Output is correct
8 Correct 5 ms 17888 KB Output is correct
9 Correct 5 ms 18008 KB Output is correct
10 Correct 5 ms 18012 KB Output is correct
11 Correct 5 ms 18012 KB Output is correct
12 Correct 5 ms 18012 KB Output is correct
13 Correct 6 ms 17980 KB Output is correct
14 Correct 5 ms 18012 KB Output is correct
15 Correct 5 ms 17840 KB Output is correct
16 Correct 6 ms 17888 KB Output is correct
17 Correct 5 ms 18012 KB Output is correct
18 Correct 5 ms 18012 KB Output is correct
19 Correct 5 ms 18012 KB Output is correct
20 Correct 5 ms 18012 KB Output is correct
21 Correct 5 ms 18012 KB Output is correct
22 Correct 5 ms 18008 KB Output is correct
23 Correct 6 ms 18012 KB Output is correct
24 Correct 6 ms 18008 KB Output is correct
25 Correct 6 ms 18008 KB Output is correct
26 Correct 6 ms 18012 KB Output is correct
27 Correct 6 ms 18084 KB Output is correct
28 Correct 6 ms 18012 KB Output is correct
29 Correct 6 ms 18012 KB Output is correct
30 Correct 6 ms 18012 KB Output is correct
31 Correct 7 ms 18012 KB Output is correct
32 Correct 6 ms 18008 KB Output is correct
33 Correct 112 ms 101004 KB Output is correct
34 Correct 200 ms 101176 KB Output is correct
35 Correct 170 ms 101200 KB Output is correct
36 Correct 198 ms 101112 KB Output is correct
37 Correct 59 ms 100196 KB Output is correct
38 Correct 56 ms 100320 KB Output is correct
39 Correct 80 ms 100328 KB Output is correct
40 Correct 79 ms 100180 KB Output is correct
41 Correct 48 ms 100176 KB Output is correct
42 Correct 53 ms 100176 KB Output is correct
43 Correct 45 ms 100144 KB Output is correct
44 Correct 65 ms 100176 KB Output is correct
45 Correct 43 ms 100188 KB Output is correct
46 Correct 44 ms 100184 KB Output is correct
47 Correct 60 ms 100180 KB Output is correct
48 Correct 60 ms 100176 KB Output is correct
49 Correct 189 ms 101120 KB Output is correct
50 Correct 174 ms 101176 KB Output is correct
51 Correct 144 ms 101204 KB Output is correct
52 Correct 140 ms 101264 KB Output is correct
53 Correct 150 ms 101204 KB Output is correct
54 Correct 131 ms 100948 KB Output is correct
55 Correct 106 ms 100328 KB Output is correct
56 Correct 139 ms 101004 KB Output is correct
57 Correct 98 ms 100976 KB Output is correct
58 Correct 109 ms 101164 KB Output is correct
59 Correct 59 ms 100176 KB Output is correct