oj.uz

Submission #938950

# Submission time Handle Problem Language Result Execution time Memory
938950 2024-03-06T01:18:17 Z jeroenodb Catfish Farm (IOI22_fish) C++17
100 / 100
 142 ms 30432 KB 
#include "fish.h"
#include "bits/stdc++.h"
using namespace std;
#define all(x) begin(x),end(x)
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pi;
const ll oo = 1e18;
void cmax(ll& a, ll b) {a=max(a,b);}

ll max_weights(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
    vvi ys(N+1);
    ll total=0;
    for(int i=0;i<M;++i) {
        Y[i]++,X[i]++;
        total+=W[i];
        ys[X[i]].push_back(i);
    }

    vector<vector<ll>> pref(N+1,{0});
    { // preprocessing and coordinate compression.
    int x=0;
    for(auto& v : ys) {
        sort(all(v),[&](int i, int j) {return Y[i]<Y[j];});
        for(auto& id : v) {
            pref[x].push_back(W[id]);
            id = Y[id];
        }
        pref[x].push_back(0);
        v.insert(v.begin(),0);
        v.push_back(N+1);
        partial_sum(all(pref[x]),pref[x].begin());
        x++;   
    }
    }
    // dynamic programming
    // DP[column][y-pos][state] 
    // state {0: rising, 1: falling}
    // transition going up: 
    array<vector<ll>,2> dp = {vector<ll>{0LL,-oo},{-oo,-oo}};
    ll top = -oo;
    auto getS = [&](int x, int y) {
        auto i = max(0LL,upper_bound(all(ys[x]),y)-ys[x].begin()-1LL);
        return pref[x][i];
    };
    for(int x=1;x<=N;++x) {
        int k = ys[x].size();
        array<vector<ll>,2> ndp = {vector<ll>(k,-oo),vector<ll>(k,-oo)};
        { // falling to falling
        int j = ys[x-1].size()-1;
        ll best = -oo;
        for(int i=k-1;i>=0;--i) {
            while(j>=0 and ys[x-1][j]>=ys[x][i]) {
                cmax(best,dp[1][j]);
                --j;
            }
            cmax(ndp[1][i], best-getS(x-1,ys[x][i]) + pref[x][i]);
        }
        }
        { // rising to rising
        int j = 0;
        ll best = -oo;
        for(int i=0;i<k;++i) {
            while(j<int(ys[x-1].size()) and ys[x-1][j]<=ys[x][i]) {
                cmax(best,dp[0][j]-getS(x,ys[x-1][j]));
                ++j;
            }
            cmax(ndp[0][i], best + pref[x][i]);
        }
        }
        { // falling to rising, far apart
        ll best = *max_element(all(dp[1]));
        for(int i=0;i<k;++i) 
            cmax(ndp[0][i],best+pref[x][i]);
        }
        // top to falling
        for(int i=0;i<k;++i) {
            cmax(ndp[1][i],pref[x][i]+top);
        }
        // rising to top
        cmax(top,*max_element(all(dp[0])));
        cmax(top,*max_element(all(dp[1])));
        swap(dp,ndp);
    }
    // falling or top
    auto ans = max(top,*max_element(all(dp[1])));;
    return ans;   
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 15600 KB Output is correct
2 Correct 54 ms 18088 KB Output is correct
3 Correct 22 ms 11356 KB Output is correct
4 Correct 22 ms 11192 KB Output is correct
5 Correct 136 ms 29804 KB Output is correct
6 Correct 127 ms 30152 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 94 ms 21276 KB Output is correct
3 Correct 105 ms 25052 KB Output is correct
4 Correct 48 ms 15696 KB Output is correct
5 Correct 54 ms 17996 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 21 ms 11356 KB Output is correct
11 Correct 23 ms 11408 KB Output is correct
12 Correct 50 ms 15604 KB Output is correct
13 Correct 61 ms 17996 KB Output is correct
14 Correct 49 ms 15820 KB Output is correct
15 Correct 55 ms 17484 KB Output is correct
16 Correct 46 ms 15704 KB Output is correct
17 Correct 51 ms 17476 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 11352 KB Output is correct
2 Correct 21 ms 11352 KB Output is correct
3 Correct 39 ms 13140 KB Output is correct
4 Correct 36 ms 13392 KB Output is correct
5 Correct 60 ms 16712 KB Output is correct
6 Correct 56 ms 16136 KB Output is correct
7 Correct 59 ms 16724 KB Output is correct
8 Correct 61 ms 16684 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 444 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 444 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 17 ms 2952 KB Output is correct
18 Correct 16 ms 3164 KB Output is correct
19 Correct 14 ms 3128 KB Output is correct
20 Correct 14 ms 3164 KB Output is correct
21 Correct 14 ms 3164 KB Output is correct
22 Correct 28 ms 5972 KB Output is correct
23 Correct 4 ms 860 KB Output is correct
24 Correct 11 ms 2172 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 3 ms 820 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 444 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 17 ms 2952 KB Output is correct
18 Correct 16 ms 3164 KB Output is correct
19 Correct 14 ms 3128 KB Output is correct
20 Correct 14 ms 3164 KB Output is correct
21 Correct 14 ms 3164 KB Output is correct
22 Correct 28 ms 5972 KB Output is correct
23 Correct 4 ms 860 KB Output is correct
24 Correct 11 ms 2172 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 3 ms 820 KB Output is correct
27 Correct 2 ms 860 KB Output is correct
28 Correct 80 ms 13832 KB Output is correct
29 Correct 122 ms 18140 KB Output is correct
30 Correct 118 ms 18140 KB Output is correct
31 Correct 110 ms 18004 KB Output is correct
32 Correct 102 ms 19280 KB Output is correct
33 Correct 108 ms 18000 KB Output is correct
34 Correct 110 ms 17900 KB Output is correct
35 Correct 40 ms 7560 KB Output is correct
36 Correct 116 ms 19176 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 11352 KB Output is correct
2 Correct 21 ms 11352 KB Output is correct
3 Correct 39 ms 13140 KB Output is correct
4 Correct 36 ms 13392 KB Output is correct
5 Correct 60 ms 16712 KB Output is correct
6 Correct 56 ms 16136 KB Output is correct
7 Correct 59 ms 16724 KB Output is correct
8 Correct 61 ms 16684 KB Output is correct
9 Correct 58 ms 16464 KB Output is correct
10 Correct 43 ms 11088 KB Output is correct
11 Correct 90 ms 21844 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 436 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 21 ms 11408 KB Output is correct
19 Correct 21 ms 11356 KB Output is correct
20 Correct 21 ms 11356 KB Output is correct
21 Correct 21 ms 11356 KB Output is correct
22 Correct 60 ms 17488 KB Output is correct
23 Correct 94 ms 22100 KB Output is correct
24 Correct 104 ms 22488 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 15600 KB Output is correct
2 Correct 54 ms 18088 KB Output is correct
3 Correct 22 ms 11356 KB Output is correct
4 Correct 22 ms 11192 KB Output is correct
5 Correct 136 ms 29804 KB Output is correct
6 Correct 127 ms 30152 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 94 ms 21276 KB Output is correct
9 Correct 105 ms 25052 KB Output is correct
10 Correct 48 ms 15696 KB Output is correct
11 Correct 54 ms 17996 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 21 ms 11356 KB Output is correct
17 Correct 23 ms 11408 KB Output is correct
18 Correct 50 ms 15604 KB Output is correct
19 Correct 61 ms 17996 KB Output is correct
20 Correct 49 ms 15820 KB Output is correct
21 Correct 55 ms 17484 KB Output is correct
22 Correct 46 ms 15704 KB Output is correct
23 Correct 51 ms 17476 KB Output is correct
24 Correct 22 ms 11352 KB Output is correct
25 Correct 21 ms 11352 KB Output is correct
26 Correct 39 ms 13140 KB Output is correct
27 Correct 36 ms 13392 KB Output is correct
28 Correct 60 ms 16712 KB Output is correct
29 Correct 56 ms 16136 KB Output is correct
30 Correct 59 ms 16724 KB Output is correct
31 Correct 61 ms 16684 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 1 ms 444 KB Output is correct
46 Correct 1 ms 344 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 17 ms 2952 KB Output is correct
49 Correct 16 ms 3164 KB Output is correct
50 Correct 14 ms 3128 KB Output is correct
51 Correct 14 ms 3164 KB Output is correct
52 Correct 14 ms 3164 KB Output is correct
53 Correct 28 ms 5972 KB Output is correct
54 Correct 4 ms 860 KB Output is correct
55 Correct 11 ms 2172 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 3 ms 820 KB Output is correct
58 Correct 2 ms 860 KB Output is correct
59 Correct 80 ms 13832 KB Output is correct
60 Correct 122 ms 18140 KB Output is correct
61 Correct 118 ms 18140 KB Output is correct
62 Correct 110 ms 18004 KB Output is correct
63 Correct 102 ms 19280 KB Output is correct
64 Correct 108 ms 18000 KB Output is correct
65 Correct 110 ms 17900 KB Output is correct
66 Correct 40 ms 7560 KB Output is correct
67 Correct 116 ms 19176 KB Output is correct
68 Correct 58 ms 16464 KB Output is correct
69 Correct 43 ms 11088 KB Output is correct
70 Correct 90 ms 21844 KB Output is correct
71 Correct 1 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 0 ms 348 KB Output is correct
74 Correct 0 ms 348 KB Output is correct
75 Correct 1 ms 436 KB Output is correct
76 Correct 0 ms 348 KB Output is correct
77 Correct 21 ms 11408 KB Output is correct
78 Correct 21 ms 11356 KB Output is correct
79 Correct 21 ms 11356 KB Output is correct
80 Correct 21 ms 11356 KB Output is correct
81 Correct 60 ms 17488 KB Output is correct
82 Correct 94 ms 22100 KB Output is correct
83 Correct 104 ms 22488 KB Output is correct
84 Correct 141 ms 27932 KB Output is correct
85 Correct 140 ms 28456 KB Output is correct
86 Correct 142 ms 29032 KB Output is correct
87 Correct 137 ms 30292 KB Output is correct
88 Correct 0 ms 348 KB Output is correct
89 Correct 138 ms 30432 KB Output is correct
90 Correct 131 ms 28496 KB Output is correct
91 Correct 122 ms 28896 KB Output is correct