Submission #759316

# Submission time Handle Problem Language Result Execution time Memory
759316 2023-06-16T06:14:12 Z Luicosas Sequence (APIO23_sequence) C++17
100 / 100
957 ms 61084 KB
#pragma GCC optimize("Ofast")

#include "sequence.h"
#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))
#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) {
    for(auto& i : v) {
        out << i << " ";
    }
    return out;
}

struct node {
    int lb, rb, mn, mx, lazy, lc, rc;
};
ostream& operator << (ostream& out, node v) {
    cout << v.lb << " " << v.rb << " " << v.mn << " " << v.mx << " " << v.lazy << " " << v.lc << " " << v.rc << " ";
    return out;
}

struct segtree {
    vector<node> nodes;

    segtree(int l, int r) {
        nodes.reserve((r - l + 1) * 2);
        build(l, r);
    }

    void build(int l, int r) {
        int idx = sz(nodes);
        nodes.push_back({l, r, l, r, 0, -1, -1});
        
        if(l == r) {
            return;
        }

        int mid = (l + r) / 2;

        nodes[idx].lc = sz(nodes);
        build(l, mid);

        nodes[idx].rc = sz(nodes);
        build(mid + 1, r);
    }

    void sadd(int l, int r, int v, int idx = 0) {
        int lb = nodes[idx].lb, rb = nodes[idx].rb;
        if(r < lb || l > rb) {
            return;
        }
        if(l <= lb && r >= rb) {
            nodes[idx].lazy += v;
            return;
        }

        int lc = nodes[idx].lc, rc = nodes[idx].rc;
        sadd(l, r, v, lc);
        sadd(l, r, v, rc);
        nodes[idx].mx = max(nodes[lc].mx + nodes[lc].lazy, nodes[rc].mx + nodes[rc].lazy);
        nodes[idx].mn = min(nodes[lc].mn + nodes[lc].lazy, nodes[rc].mn + nodes[rc].lazy);
    }
    
    int qrymx(int l, int r, int idx = 0) {
        int lb = nodes[idx].lb, rb = nodes[idx].rb;
        if(r < lb || l > rb) {
            return INT_MIN;
        }
        if(l <= lb && r >= rb) {
            return nodes[idx].mx + nodes[idx].lazy;
        }

        int lc = nodes[idx].lc, rc = nodes[idx].rc, ret = 0;
        ret = max(qrymx(l, r, lc), qrymx(l, r, rc));
        return ret + nodes[idx].lazy;
    }

    int qrymn(int l, int r, int idx = 0) {
        int lb = nodes[idx].lb, rb = nodes[idx].rb;
        if(r < lb || l > rb) {
            return INT_MAX;
        }
        if(l <= lb && r >= rb) {
            return nodes[idx].mn + nodes[idx].lazy;
        }

        int lc = nodes[idx].lc, rc = nodes[idx].rc, ret = 0;
        ret = min(qrymn(l, r, lc), qrymn(l, r, rc));
        return ret + nodes[idx].lazy;
    }
};

int sequence(int N, std::vector<int> A) {
    debug(N); debug(A);

    vector<int> sids(N);
    for(int i = 0; i < N; i++) {
        sids[i] = i;
    }
    sort(sids.begin(), sids.end(), [&](int a, int b) {
        if(A[a] != A[b]) {
            return A[a] < A[b];
        } else {
            return a < b;
        }
    });

    int ptr = 0, mx = 1;
    segtree eqpos(0, N), eqneg(0, N);
    while(ptr < N) {
        for(int i = ptr; i < N && A[sids[i]] == A[sids[ptr]]; i++) {
            eqneg.sadd(sids[i] + 1, N, -2);
        }

        int nptr = ptr;
        while(nptr < N && A[sids[nptr]] == A[sids[ptr]]) {
            if(nptr + mx >= N) {
                return mx;
            }
            int l = sids[nptr], r = sids[nptr + mx];
            if(A[l] != A[r]) {
                nptr++;
                continue;
            }
            if(eqpos.qrymx(r + 1, N) - eqpos.qrymn(0, l) >= 0 && eqneg.qrymn(r + 1, N) - eqneg.qrymx(0, l) <= 0) {
                mx++;
            } else {
                nptr++;
            }
        }
        
        for(; ptr < nptr; ptr++) {
            eqpos.sadd(sids[ptr] + 1, N, -2);
        }
    }
    return mx;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 2 ms 468 KB Output is correct
22 Correct 2 ms 468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 295 ms 61000 KB Output is correct
3 Correct 298 ms 60876 KB Output is correct
4 Correct 312 ms 60924 KB Output is correct
5 Correct 301 ms 61004 KB Output is correct
6 Correct 300 ms 61016 KB Output is correct
7 Correct 253 ms 60968 KB Output is correct
8 Correct 296 ms 60972 KB Output is correct
9 Correct 295 ms 60964 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 294 ms 60960 KB Output is correct
3 Correct 422 ms 61072 KB Output is correct
4 Correct 370 ms 60888 KB Output is correct
5 Correct 511 ms 60952 KB Output is correct
6 Correct 370 ms 60976 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 449 ms 60960 KB Output is correct
2 Correct 444 ms 60960 KB Output is correct
3 Correct 505 ms 60872 KB Output is correct
4 Correct 526 ms 60964 KB Output is correct
5 Correct 448 ms 60968 KB Output is correct
6 Correct 438 ms 60968 KB Output is correct
7 Correct 353 ms 60968 KB Output is correct
8 Correct 327 ms 60972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 2 ms 468 KB Output is correct
22 Correct 2 ms 468 KB Output is correct
23 Correct 68 ms 10008 KB Output is correct
24 Correct 69 ms 10012 KB Output is correct
25 Correct 72 ms 9968 KB Output is correct
26 Correct 95 ms 10012 KB Output is correct
27 Correct 90 ms 9940 KB Output is correct
28 Correct 84 ms 10008 KB Output is correct
29 Correct 63 ms 10012 KB Output is correct
30 Correct 56 ms 9940 KB Output is correct
31 Correct 57 ms 10012 KB Output is correct
32 Correct 43 ms 10016 KB Output is correct
33 Correct 65 ms 10012 KB Output is correct
34 Correct 68 ms 10016 KB Output is correct
35 Correct 62 ms 10016 KB Output is correct
36 Correct 67 ms 10012 KB Output is correct
37 Correct 72 ms 9972 KB Output is correct
38 Correct 69 ms 9940 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 2 ms 468 KB Output is correct
22 Correct 2 ms 468 KB Output is correct
23 Correct 295 ms 61000 KB Output is correct
24 Correct 298 ms 60876 KB Output is correct
25 Correct 312 ms 60924 KB Output is correct
26 Correct 301 ms 61004 KB Output is correct
27 Correct 300 ms 61016 KB Output is correct
28 Correct 253 ms 60968 KB Output is correct
29 Correct 296 ms 60972 KB Output is correct
30 Correct 295 ms 60964 KB Output is correct
31 Correct 294 ms 60960 KB Output is correct
32 Correct 422 ms 61072 KB Output is correct
33 Correct 370 ms 60888 KB Output is correct
34 Correct 511 ms 60952 KB Output is correct
35 Correct 370 ms 60976 KB Output is correct
36 Correct 449 ms 60960 KB Output is correct
37 Correct 444 ms 60960 KB Output is correct
38 Correct 505 ms 60872 KB Output is correct
39 Correct 526 ms 60964 KB Output is correct
40 Correct 448 ms 60968 KB Output is correct
41 Correct 438 ms 60968 KB Output is correct
42 Correct 353 ms 60968 KB Output is correct
43 Correct 327 ms 60972 KB Output is correct
44 Correct 68 ms 10008 KB Output is correct
45 Correct 69 ms 10012 KB Output is correct
46 Correct 72 ms 9968 KB Output is correct
47 Correct 95 ms 10012 KB Output is correct
48 Correct 90 ms 9940 KB Output is correct
49 Correct 84 ms 10008 KB Output is correct
50 Correct 63 ms 10012 KB Output is correct
51 Correct 56 ms 9940 KB Output is correct
52 Correct 57 ms 10012 KB Output is correct
53 Correct 43 ms 10016 KB Output is correct
54 Correct 65 ms 10012 KB Output is correct
55 Correct 68 ms 10016 KB Output is correct
56 Correct 62 ms 10016 KB Output is correct
57 Correct 67 ms 10012 KB Output is correct
58 Correct 72 ms 9972 KB Output is correct
59 Correct 69 ms 9940 KB Output is correct
60 Correct 838 ms 60964 KB Output is correct
61 Correct 841 ms 60976 KB Output is correct
62 Correct 877 ms 60972 KB Output is correct
63 Correct 943 ms 60960 KB Output is correct
64 Correct 957 ms 60972 KB Output is correct
65 Correct 954 ms 60972 KB Output is correct
66 Correct 471 ms 60976 KB Output is correct
67 Correct 448 ms 61004 KB Output is correct
68 Correct 391 ms 60968 KB Output is correct
69 Correct 240 ms 61084 KB Output is correct
70 Correct 766 ms 60960 KB Output is correct
71 Correct 786 ms 60968 KB Output is correct
72 Correct 782 ms 60968 KB Output is correct
73 Correct 875 ms 60968 KB Output is correct
74 Correct 902 ms 60964 KB Output is correct
75 Correct 894 ms 60964 KB Output is correct