Submission #300113

# Submission time Handle Problem Language Result Execution time Memory
300113 2020-09-16T18:00:07 Z tatyam Salesman (IOI09_salesman) C++17
100 / 100
1410 ms 35656 KB
#include <bits/stdc++.h>
using namespace std;
const int INF = 0x3fffffff;
template<class T> bool chmax(T& a, const T& b){ if(a < b){ a = b; return 1; } return 0; }

struct SegmentTree{
    int n, cost;
    vector<int> seg;
    SegmentTree(int n, int cost): n(n), cost(cost), seg(n * 2, -INF){}
    void set(int at, int val){
        val += at * cost;
        at += n;
        seg[at] = val;
        while(at /= 2) chmax(seg[at], val);
    }
    int get(int l, int r){
        l += n; r += n;
        int ans = -INF;
        while(l < r){
            if(l & 1) chmax(ans, seg[l++]);
            if(r & 1) chmax(ans, seg[--r]);
            l /= 2;
            r /= 2;
        }
        return ans;
    }
    int down(int x){
        return get(0, x + 1) - x * cost;
    }
    int up(int x){
        return get(x, n) - x * cost;
    }
};
int main(){
    const int MAX = 500002;
    int N, U, D, S;
    cin >> N >> U >> D >> S;
    vector<vector<array<int, 2>>> a(MAX);
    for(int i = 0; i < N; i++){
        int T, L, M;
        cin >> T >> L >> M;
        a[T].push_back({L, M});
    }
    SegmentTree up(MAX, -U), down(MAX, D);
    up.set(S, 0);
    down.set(S, 0);
    for(auto& fairs : a) if(fairs.size()){
        sort(fairs.begin(), fairs.end());
        vector<int> dp_up(fairs.size()), dp_down;
        for(int i = 0; i < fairs.size(); i++) dp_up[i] = max(down.down(fairs[i][0]), up.up(fairs[i][0]));
        dp_down = dp_up;
        dp_down[0] += fairs[0][1];
        for(int i = 1; i < fairs.size(); i++){
            chmax(dp_down[i], dp_down[i - 1] - D * (fairs[i][0] - fairs[i - 1][0]));
            dp_down[i] += fairs[i][1];
        }
        dp_up.back() += fairs.back()[1];
        for(int i = fairs.size() - 1; i--; ){
            chmax(dp_up[i], dp_up[i + 1] - U * (fairs[i + 1][0] - fairs[i][0]));
            dp_up[i] += fairs[i][1];
        }
        for(int i = 0; i < fairs.size(); i++){
            up.set(fairs[i][0], max(dp_up[i], dp_down[i]));
            down.set(fairs[i][0], max(dp_up[i], dp_down[i]));
        }
    }
    cout << max(up.up(S), down.down(S)) << endl;
}

Compilation message

salesman.cpp: In function 'int main()':
salesman.cpp:50:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   50 |         for(int i = 0; i < fairs.size(); i++) dp_up[i] = max(down.down(fairs[i][0]), up.up(fairs[i][0]));
      |                        ~~^~~~~~~~~~~~~~
salesman.cpp:53:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   53 |         for(int i = 1; i < fairs.size(); i++){
      |                        ~~^~~~~~~~~~~~~~
salesman.cpp:62:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |         for(int i = 0; i < fairs.size(); i++){
      |                        ~~^~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 15 ms 19840 KB Output is correct
2 Correct 17 ms 19840 KB Output is correct
3 Correct 16 ms 19968 KB Output is correct
4 Correct 19 ms 19968 KB Output is correct
5 Correct 24 ms 20096 KB Output is correct
6 Correct 66 ms 20472 KB Output is correct
7 Correct 154 ms 21496 KB Output is correct
8 Correct 293 ms 22980 KB Output is correct
9 Correct 402 ms 24692 KB Output is correct
10 Correct 723 ms 29332 KB Output is correct
11 Correct 843 ms 29276 KB Output is correct
12 Correct 1045 ms 32468 KB Output is correct
13 Correct 1061 ms 32460 KB Output is correct
14 Correct 1410 ms 35600 KB Output is correct
15 Correct 1245 ms 35656 KB Output is correct
16 Correct 1337 ms 35552 KB Output is correct
17 Correct 16 ms 19840 KB Output is correct
18 Correct 15 ms 19840 KB Output is correct
19 Correct 16 ms 19944 KB Output is correct
20 Correct 18 ms 19968 KB Output is correct
21 Correct 19 ms 19968 KB Output is correct
22 Correct 26 ms 19968 KB Output is correct
23 Correct 22 ms 19944 KB Output is correct
24 Correct 26 ms 19968 KB Output is correct
25 Correct 210 ms 21088 KB Output is correct
26 Correct 405 ms 22136 KB Output is correct
27 Correct 641 ms 23912 KB Output is correct
28 Correct 777 ms 24160 KB Output is correct
29 Correct 935 ms 24860 KB Output is correct
30 Correct 993 ms 25544 KB Output is correct