oj.uz

Submission #238161

# Submission time Handle Problem Language Result Execution time Memory
238161 2020-06-10T05:36:06 Z rama_pang Horses (IOI15_horses) C++14
100 / 100
 962 ms 22024 KB 
#include "horses.h"
#include <bits/stdc++.h>
using namespace std;
const int mod = 1e9 + 7;

// It is always optimal to sell all horses in a single year

class SegmentTree {
 private:
  struct Mint {
    int val = 0;
    bool overflow = 0;
    const Mint operator * (const Mint &x) const {
      return {(int) (1ll * this->val * x.val % mod), 
          (bool) (this->overflow || x.overflow || (1ll * this->val * x.val >= mod))};
    }
  };

  int sz;
  vector<Mint> X;
  vector<int> Y;
  vector<int> optimal;

  void Pull(int n, int lc, int rc) {
    X[n] = X[lc] * X[rc];
    Mint in_between = QueryX(1, 0, sz - 1, optimal[lc] + 1, optimal[rc]);
    if (in_between.overflow) {
      optimal[n] = optimal[rc];
    } else if (Y[optimal[lc]] > 1ll * Y[optimal[rc]] * in_between.val) {
      optimal[n] = optimal[lc];
    } else {
      optimal[n] = optimal[rc];
    }
  }

  Mint QueryX(int n, int tl, int tr, int l, int r) {
    if (tr < l || r < tl || tl > tr || l > r) return Mint({1, 0});
    if (l <= tl && tr <= r) return X[n];
    int mid = (tl + tr) / 2;
    int z = n + 2 * (mid - tl + 1);
    return QueryX(n + 1, tl, mid, l, r) * QueryX(z, mid + 1, tr, l, r);
  }

  void UpdateX(int n, int tl, int tr, int p, int x) {
    if (tl == tr) {
      X[n] = {x, 0};
      return;
    }
    int mid = (tl + tr) / 2;
    int z = n + 2 * (mid - tl + 1);
    if (p <= mid) {
      UpdateX(n + 1, tl, mid, p, x);
    } else {
      UpdateX(z, mid + 1, tr, p, x);
    }
    return Pull(n, n + 1, z);
  }

  void UpdateY(int n, int tl, int tr, int p, int x) {
    if (tl == tr) {
      Y[tl] = x;
      return;
    }
    int mid = (tl + tr) / 2;
    int z = n + 2 * (mid - tl + 1);
    if (p <= mid) {
      UpdateY(n + 1, tl, mid, p, x);
    } else {
      UpdateY(z, mid + 1, tr, p, x);
    }
    return Pull(n, n + 1, z);
  }

  void Build(int n, int tl, int tr, vector<int> &x, vector<int> &y) {
    if (tl == tr) {
      X[n] = {x[tl], 0};
      Y[tl] = y[tl];
      optimal[n] = tl;
      return;
    }
    int mid = (tl + tr) / 2;
    int z = n + 2 * (mid - tl + 1);
    Build(n + 1, tl, mid, x, y);
    Build(z, mid + 1, tr, x, y);
    Pull(n, n + 1, z);
  }

 public:
  SegmentTree() {}
  SegmentTree(int n, vector<int> x, vector<int> y) : sz(n) {
    X.assign(2 * sz, Mint({1, 0}));
    Y.assign(sz, 0);
    optimal.assign(2 * sz, 0);
    Build(1, 0, sz - 1, x, y);
  }

  void UpdateX(int p, int x) {
    return UpdateX(1, 0, sz - 1, p, x);
  }
  void UpdateY(int p, int x) {
    return UpdateY(1, 0, sz - 1, p, x);
  }
  int Query() {
    return 1ll * QueryX(1, 0, sz - 1, 0, optimal[1]).val * Y[optimal[1]] % mod;
  }
};

SegmentTree segtree;

int init(int N, int X[], int Y[]) {
  segtree = SegmentTree(N, vector<int>(X, X + N), vector<int>(Y, Y + N));
	return segtree.Query();
}

int updateX(int pos, int val) {	
  segtree.UpdateX(pos, val);
  return segtree.Query();
}

int updateY(int pos, int val) {
	segtree.UpdateY(pos, val);
  return segtree.Query();
}

Compilation message

horses.cpp: In member function 'int SegmentTree::Query()':
horses.cpp:104:74: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
     return 1ll * QueryX(1, 0, sz - 1, 0, optimal[1]).val * Y[optimal[1]] % mod;
            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Output is correct
2 Correct 5 ms 256 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 256 KB Output is correct
6 Correct 5 ms 256 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 4 ms 256 KB Output is correct
9 Correct 4 ms 256 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 4 ms 256 KB Output is correct
15 Correct 4 ms 256 KB Output is correct
16 Correct 4 ms 256 KB Output is correct
17 Correct 5 ms 256 KB Output is correct
18 Correct 4 ms 256 KB Output is correct
19 Correct 4 ms 256 KB Output is correct
20 Correct 5 ms 256 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 256 KB Output is correct
4 Correct 4 ms 256 KB Output is correct
5 Correct 5 ms 256 KB Output is correct
6 Correct 4 ms 256 KB Output is correct
7 Correct 5 ms 256 KB Output is correct
8 Correct 4 ms 256 KB Output is correct
9 Correct 4 ms 256 KB Output is correct
10 Correct 5 ms 256 KB Output is correct
11 Correct 5 ms 256 KB Output is correct
12 Correct 5 ms 256 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 4 ms 256 KB Output is correct
15 Correct 5 ms 256 KB Output is correct
16 Correct 4 ms 256 KB Output is correct
17 Correct 4 ms 256 KB Output is correct
18 Correct 4 ms 256 KB Output is correct
19 Correct 4 ms 256 KB Output is correct
20 Correct 4 ms 256 KB Output is correct
21 Correct 4 ms 256 KB Output is correct
22 Correct 4 ms 256 KB Output is correct
23 Correct 6 ms 384 KB Output is correct
24 Correct 7 ms 384 KB Output is correct
25 Correct 6 ms 308 KB Output is correct
26 Correct 7 ms 384 KB Output is correct
27 Correct 6 ms 384 KB Output is correct
28 Correct 7 ms 384 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 6 ms 384 KB Output is correct
32 Correct 6 ms 384 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 523 ms 21916 KB Output is correct
2 Correct 484 ms 21880 KB Output is correct
3 Correct 618 ms 21888 KB Output is correct
4 Correct 582 ms 21880 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Output is correct
2 Correct 4 ms 256 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 4 ms 256 KB Output is correct
5 Correct 4 ms 256 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 256 KB Output is correct
10 Correct 5 ms 256 KB Output is correct
11 Correct 4 ms 256 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 4 ms 256 KB Output is correct
15 Correct 5 ms 256 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 4 ms 256 KB Output is correct
18 Correct 4 ms 256 KB Output is correct
19 Correct 4 ms 256 KB Output is correct
20 Correct 4 ms 256 KB Output is correct
21 Correct 4 ms 256 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 6 ms 384 KB Output is correct
24 Correct 7 ms 384 KB Output is correct
25 Correct 6 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 6 ms 384 KB Output is correct
28 Correct 7 ms 512 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 6 ms 384 KB Output is correct
31 Correct 6 ms 384 KB Output is correct
32 Correct 6 ms 384 KB Output is correct
33 Correct 245 ms 21888 KB Output is correct
34 Correct 240 ms 21884 KB Output is correct
35 Correct 215 ms 22008 KB Output is correct
36 Correct 197 ms 21880 KB Output is correct
37 Correct 193 ms 22012 KB Output is correct
38 Correct 186 ms 21888 KB Output is correct
39 Correct 163 ms 21888 KB Output is correct
40 Correct 170 ms 21880 KB Output is correct
41 Correct 197 ms 22008 KB Output is correct
42 Correct 173 ms 22008 KB Output is correct
43 Correct 157 ms 21880 KB Output is correct
44 Correct 156 ms 21880 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 256 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 256 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 4 ms 256 KB Output is correct
8 Correct 4 ms 256 KB Output is correct
9 Correct 4 ms 256 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 4 ms 256 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 4 ms 256 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 4 ms 256 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 4 ms 256 KB Output is correct
20 Correct 5 ms 256 KB Output is correct
21 Correct 4 ms 256 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 8 ms 384 KB Output is correct
24 Correct 7 ms 384 KB Output is correct
25 Correct 6 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 6 ms 384 KB Output is correct
28 Correct 6 ms 384 KB Output is correct
29 Correct 7 ms 384 KB Output is correct
30 Correct 6 ms 384 KB Output is correct
31 Correct 6 ms 384 KB Output is correct
32 Correct 6 ms 384 KB Output is correct
33 Correct 522 ms 21888 KB Output is correct
34 Correct 473 ms 21880 KB Output is correct
35 Correct 638 ms 22008 KB Output is correct
36 Correct 594 ms 22008 KB Output is correct
37 Correct 246 ms 21888 KB Output is correct
38 Correct 240 ms 22008 KB Output is correct
39 Correct 206 ms 21880 KB Output is correct
40 Correct 192 ms 21880 KB Output is correct
41 Correct 197 ms 22008 KB Output is correct
42 Correct 187 ms 21900 KB Output is correct
43 Correct 160 ms 21888 KB Output is correct
44 Correct 175 ms 21880 KB Output is correct
45 Correct 181 ms 22008 KB Output is correct
46 Correct 177 ms 21888 KB Output is correct
47 Correct 155 ms 21880 KB Output is correct
48 Correct 161 ms 22024 KB Output is correct
49 Correct 962 ms 21880 KB Output is correct
50 Correct 885 ms 21880 KB Output is correct
51 Correct 531 ms 21920 KB Output is correct
52 Correct 399 ms 21880 KB Output is correct
53 Correct 720 ms 21888 KB Output is correct
54 Correct 493 ms 21880 KB Output is correct
55 Correct 378 ms 21880 KB Output is correct
56 Correct 388 ms 21880 KB Output is correct
57 Correct 605 ms 21888 KB Output is correct
58 Correct 503 ms 22008 KB Output is correct
59 Correct 153 ms 21880 KB Output is correct