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Submission #723680

# Submission time Handle Problem Language Result Execution time Memory
723680 2023-04-14T07:30:18 Z Luicosas Catfish Farm (IOI22_fish) C++17
100 / 100
 307 ms 67296 KB 
#include<bits/stdc++.h>

using namespace std;

typedef long long ll;

#define pb push_back
#define sz(x) (int)(x.size())
#define itr(x) x.begin(), x.end()
#define ref(x) (*(x))
#define prv(x) for(auto& pval : x) cout << pval << " "; cout << "\n";
#ifdef LOC
#define debug(...) cerr << #__VA_ARGS__ << " : "; for(auto& dval : {__VA_ARGS__}) cerr << dval << " "; cerr << "\n";
#else 
#define debug(...)
#endif

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

template<typename T> 
ostream& operator << (ostream& out, vector<T> v) {
    out << "{ ";
    for(auto& i : v) {
        out << i << " ";
    }
    out << "} ";
    return out;
}

long long max_weights(int N, int M, std::vector<int> X, std::vector<int> Y, std::vector<int> W) {
    const ll maxh = N + 5;

    vector<vector<array<ll,2>>> xpoints(N);
    for(ll i = 0; i < M; i++) {
        xpoints[X[i]].pb({Y[i] + 1, W[i]});
    }
    for(auto& v : xpoints) {
        sort(itr(v));
    }

    vector<vector<ll>> pfx(N);
    vector<vector<ll>> dp_idxs(N);
    for(ll x = 0; x < N; x++) {
        if(sz(xpoints[x]) == 0 || xpoints[x][0][0] > 1) {
            pfx[x].pb(0);
            dp_idxs[x].pb(0);
        }
        for(auto& p : xpoints[x]) {
            if(p[0] != 0 && (!sz(dp_idxs[x]) || dp_idxs[x].back() != p[0] - 1)) {
                pfx[x].pb((sz(pfx[x]) ? pfx[x].back() : 0));
                dp_idxs[x].pb(p[0] - 1);
            }
            if(!sz(dp_idxs[x]) || dp_idxs[x].back() != p[0]) {
                pfx[x].pb((sz(pfx[x]) ? pfx[x].back() : 0) + p[1]);
                dp_idxs[x].pb(p[0]);
            }
        }
        pfx[x].pb((sz(pfx[x]) ? pfx[x].back() : 0));
        dp_idxs[x].pb(maxh);
    }
    debug(pfx);
    debug(dp_idxs);

    vector<vector<ll>> inc_dp(N), dec_dp(N);
    inc_dp[0].assign(sz(dp_idxs[0]), 0);
    dec_dp[0].assign(sz(dp_idxs[0]), 0);
    for(ll x = 1; x < N; x++) {
        ll psz = sz(dp_idxs[x - 1]), csz = sz(dp_idxs[x]);

        // calc inc_dp
        inc_dp[x].assign(sz(dp_idxs[x]), 0);
        ll gmx = 0; ll gptr = psz - 1;
        for(ll i = csz - 1; i >= 0; i--) {
            ll h = dp_idxs[x][i];
            while(gptr >= 0 && dp_idxs[x - 1][gptr] >= h) {
                ll v = max(inc_dp[x - 1][gptr], dec_dp[x - 1][gptr]);
                gmx = max(gmx, v + pfx[x][i]);
                gptr--;
            }
            inc_dp[x][i] = max(inc_dp[x][i], gmx - pfx[x][i]);
        }

        dec_dp[x].assign(csz, 0);
        ll smx = 0; ll sptr = 0;
        for(ll i = 0; i < csz; i++) {
            ll h = dp_idxs[x][i];
            while(sptr < psz && dp_idxs[x - 1][sptr] <= h) {
                ll v = dec_dp[x - 1][sptr];
                smx = max(smx, v - pfx[x - 1][sptr]);
                sptr++;
            }
            dec_dp[x][i] = max(dec_dp[x][i], smx + pfx[x - 1][sptr - 1]);
        }

        if(x == 1) {
            continue;
        }
        ll ppsz = sz(dp_idxs[x - 2]);

        ll gpptr = ppsz - 1; gptr = psz - 1;
        ll gppmx = 0, gvmx = 0;
        for(ll i = csz - 1; i >= 0; i--) {
            ll h = dp_idxs[x][i];
            while(gptr >= 0 && dp_idxs[x - 1][gptr] >= h) {
                while(gpptr >= 0 && dp_idxs[x - 2][gpptr] >= dp_idxs[x - 1][gptr]) {
                    gppmx = max(gppmx, dec_dp[x - 2][gpptr]);
                    gppmx = max(gppmx, inc_dp[x - 2][gpptr]);
                    gpptr--;
                }
                gvmx = max(gvmx, pfx[x - 1][gptr] + gppmx);
                gptr--;
            }
            dec_dp[x][i] = max(dec_dp[x][i], gvmx);
        }

        ll spptr = 0; sptr = 0;
        ll sppmx = 0;
        for(ll i = 0; i < csz; i++) {
            ll h = dp_idxs[x][i];
            while(spptr < ppsz && dp_idxs[x - 2][spptr] <= h) {
                sppmx = max(sppmx, dec_dp[x - 2][spptr]);
                sppmx = max(sppmx, inc_dp[x - 2][spptr]);
                spptr++;
            }
            while(sptr + 1 < psz && dp_idxs[x - 1][sptr + 1] <= h) {
                sptr++;
            }
            dec_dp[x][i] = max(dec_dp[x][i], sppmx + pfx[x - 1][sptr]);
        }
    }
    debug(inc_dp);
    debug(dec_dp);
    
    ll ans = 0;
    for(auto& p : inc_dp[N - 1]) {
        ans = max(ans, p);
    }
    for(auto& p : dec_dp[N - 1]) {
        ans = max(ans, p);
    }
    return ans;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 28092 KB Output is correct
2 Correct 92 ms 31524 KB Output is correct
3 Correct 42 ms 24572 KB Output is correct
4 Correct 40 ms 24504 KB Output is correct
5 Correct 171 ms 46884 KB Output is correct
6 Correct 272 ms 61280 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 107 ms 33980 KB Output is correct
3 Correct 127 ms 38736 KB Output is correct
4 Correct 71 ms 28060 KB Output is correct
5 Correct 82 ms 31532 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 40 ms 24524 KB Output is correct
11 Correct 41 ms 24516 KB Output is correct
12 Correct 77 ms 29548 KB Output is correct
13 Correct 98 ms 33284 KB Output is correct
14 Correct 70 ms 29660 KB Output is correct
15 Correct 78 ms 32848 KB Output is correct
16 Correct 90 ms 29632 KB Output is correct
17 Correct 105 ms 32776 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 24564 KB Output is correct
2 Correct 41 ms 24528 KB Output is correct
3 Correct 70 ms 27596 KB Output is correct
4 Correct 62 ms 28192 KB Output is correct
5 Correct 125 ms 34804 KB Output is correct
6 Correct 102 ms 34088 KB Output is correct
7 Correct 98 ms 34744 KB Output is correct
8 Correct 112 ms 34748 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 576 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 304 KB Output is correct
14 Correct 1 ms 440 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 576 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 304 KB Output is correct
14 Correct 1 ms 440 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 19 ms 5460 KB Output is correct
18 Correct 18 ms 5556 KB Output is correct
19 Correct 19 ms 5284 KB Output is correct
20 Correct 20 ms 5332 KB Output is correct
21 Correct 21 ms 5308 KB Output is correct
22 Correct 40 ms 10300 KB Output is correct
23 Correct 5 ms 1588 KB Output is correct
24 Correct 15 ms 4180 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 5 ms 1336 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 576 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 304 KB Output is correct
14 Correct 1 ms 440 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 19 ms 5460 KB Output is correct
18 Correct 18 ms 5556 KB Output is correct
19 Correct 19 ms 5284 KB Output is correct
20 Correct 20 ms 5332 KB Output is correct
21 Correct 21 ms 5308 KB Output is correct
22 Correct 40 ms 10300 KB Output is correct
23 Correct 5 ms 1588 KB Output is correct
24 Correct 15 ms 4180 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 5 ms 1336 KB Output is correct
27 Correct 3 ms 1364 KB Output is correct
28 Correct 102 ms 24184 KB Output is correct
29 Correct 128 ms 32472 KB Output is correct
30 Correct 150 ms 41044 KB Output is correct
31 Correct 154 ms 41052 KB Output is correct
32 Correct 124 ms 34000 KB Output is correct
33 Correct 159 ms 41304 KB Output is correct
34 Correct 199 ms 41300 KB Output is correct
35 Correct 87 ms 16216 KB Output is correct
36 Correct 156 ms 39440 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 24564 KB Output is correct
2 Correct 41 ms 24528 KB Output is correct
3 Correct 70 ms 27596 KB Output is correct
4 Correct 62 ms 28192 KB Output is correct
5 Correct 125 ms 34804 KB Output is correct
6 Correct 102 ms 34088 KB Output is correct
7 Correct 98 ms 34744 KB Output is correct
8 Correct 112 ms 34748 KB Output is correct
9 Correct 102 ms 37548 KB Output is correct
10 Correct 77 ms 22172 KB Output is correct
11 Correct 196 ms 44196 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 304 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 39 ms 24524 KB Output is correct
19 Correct 60 ms 24524 KB Output is correct
20 Correct 40 ms 24520 KB Output is correct
21 Correct 40 ms 24524 KB Output is correct
22 Correct 141 ms 38912 KB Output is correct
23 Correct 206 ms 50004 KB Output is correct
24 Correct 201 ms 50976 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 28092 KB Output is correct
2 Correct 92 ms 31524 KB Output is correct
3 Correct 42 ms 24572 KB Output is correct
4 Correct 40 ms 24504 KB Output is correct
5 Correct 171 ms 46884 KB Output is correct
6 Correct 272 ms 61280 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 107 ms 33980 KB Output is correct
9 Correct 127 ms 38736 KB Output is correct
10 Correct 71 ms 28060 KB Output is correct
11 Correct 82 ms 31532 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 40 ms 24524 KB Output is correct
17 Correct 41 ms 24516 KB Output is correct
18 Correct 77 ms 29548 KB Output is correct
19 Correct 98 ms 33284 KB Output is correct
20 Correct 70 ms 29660 KB Output is correct
21 Correct 78 ms 32848 KB Output is correct
22 Correct 90 ms 29632 KB Output is correct
23 Correct 105 ms 32776 KB Output is correct
24 Correct 40 ms 24564 KB Output is correct
25 Correct 41 ms 24528 KB Output is correct
26 Correct 70 ms 27596 KB Output is correct
27 Correct 62 ms 28192 KB Output is correct
28 Correct 125 ms 34804 KB Output is correct
29 Correct 102 ms 34088 KB Output is correct
30 Correct 98 ms 34744 KB Output is correct
31 Correct 112 ms 34748 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 2 ms 576 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 1 ms 304 KB Output is correct
45 Correct 1 ms 440 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 2 ms 468 KB Output is correct
48 Correct 19 ms 5460 KB Output is correct
49 Correct 18 ms 5556 KB Output is correct
50 Correct 19 ms 5284 KB Output is correct
51 Correct 20 ms 5332 KB Output is correct
52 Correct 21 ms 5308 KB Output is correct
53 Correct 40 ms 10300 KB Output is correct
54 Correct 5 ms 1588 KB Output is correct
55 Correct 15 ms 4180 KB Output is correct
56 Correct 1 ms 468 KB Output is correct
57 Correct 5 ms 1336 KB Output is correct
58 Correct 3 ms 1364 KB Output is correct
59 Correct 102 ms 24184 KB Output is correct
60 Correct 128 ms 32472 KB Output is correct
61 Correct 150 ms 41044 KB Output is correct
62 Correct 154 ms 41052 KB Output is correct
63 Correct 124 ms 34000 KB Output is correct
64 Correct 159 ms 41304 KB Output is correct
65 Correct 199 ms 41300 KB Output is correct
66 Correct 87 ms 16216 KB Output is correct
67 Correct 156 ms 39440 KB Output is correct
68 Correct 102 ms 37548 KB Output is correct
69 Correct 77 ms 22172 KB Output is correct
70 Correct 196 ms 44196 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 1 ms 304 KB Output is correct
73 Correct 1 ms 212 KB Output is correct
74 Correct 1 ms 212 KB Output is correct
75 Correct 1 ms 212 KB Output is correct
76 Correct 1 ms 212 KB Output is correct
77 Correct 39 ms 24524 KB Output is correct
78 Correct 60 ms 24524 KB Output is correct
79 Correct 40 ms 24520 KB Output is correct
80 Correct 40 ms 24524 KB Output is correct
81 Correct 141 ms 38912 KB Output is correct
82 Correct 206 ms 50004 KB Output is correct
83 Correct 201 ms 50976 KB Output is correct
84 Correct 216 ms 57080 KB Output is correct
85 Correct 228 ms 58856 KB Output is correct
86 Correct 302 ms 64568 KB Output is correct
87 Correct 307 ms 67248 KB Output is correct
88 Correct 1 ms 216 KB Output is correct
89 Correct 282 ms 67296 KB Output is correct
90 Correct 278 ms 62828 KB Output is correct
91 Correct 216 ms 57536 KB Output is correct