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Submission #1012679

# Submission time Handle Problem Language Result Execution time Memory
1012679 2024-07-02T13:43:17 Z gyg Sjeckanje (COCI21_sjeckanje) C++17
110 / 110
 927 ms 52716 KB 
#include <bits/stdc++.h>
using namespace std;
using lint = long long;
const int MAX_N = 2e5 + 5;
const lint INF = 1e16;

int n, q;
array<lint, MAX_N> a;

struct Node {
    lint val;
    lint maxmax, maxmin, minmax, minmin;
    lint l_max, l_min, r_max, r_min;
} st[4 * MAX_N];
lint lazy[4 * MAX_N];


Node merge(Node& x, Node& y) {
    Node ans;
    ans.val = max({x.val + y.val, x.r_min + y.l_max, x.r_max + y.l_min});
    ans.maxmax = max({x.l_max + y.r_max, x.maxmax + y.minmax, x.maxmin + y.maxmax, x.maxmax, y.maxmax});
    ans.maxmin = max({x.l_max + y.r_min, x.maxmax + y.minmin, x.maxmin + y.maxmin, x.maxmin, y.maxmin});
    ans.minmax = max({x.l_min + y.r_max, x.minmax + y.minmax, x.minmin + y.maxmax, x.minmax, y.minmax});
    ans.minmin = max({x.l_min + y.r_min, x.minmax + y.minmin, x.minmin + y.maxmin, x.minmin, y.minmin});
    ans.l_max = max({x.l_max + y.val, x.maxmax + y.l_min, x.maxmin + y.l_max, y.l_max});
    ans.l_min = max({x.l_min + y.val, x.minmax + y.l_min, x.minmin + y.l_max, y.l_min});
    ans.r_max = max({x.val + y.r_max, x.r_max + y.minmax, x.r_min + y.maxmax, x.r_max});
    ans.r_min = max({x.val + y.r_min, x.r_max + y.minmin, x.r_min + y.maxmin, x.r_min});
    return ans;
}
void build(int u = 1, int lo = 1, int hi = n) {
    if (lo == hi) {
        st[u].val = 0;
        st[u].l_max = st[u].r_max = a[lo];
        st[u].l_min = st[u].r_min = -a[lo];
        st[u].maxmax = st[u].maxmin = st[u].minmax = st[u].minmin = -INF;
        return;
    }
    int mid = (lo + hi) / 2;
    build(2 * u, lo, mid), build(2 * u + 1, mid + 1, hi);
    st[u] = merge(st[2 * u], st[2 * u + 1]);
}

void propogate(int u) {
    if (lazy[u] == 0) return;
    for (int v : {2 * u, 2 * u + 1}) {
        st[v].l_max += lazy[u], st[v].r_max += lazy[u];
        st[v].l_min -= lazy[u], st[v].r_min -= lazy[u];
        st[v].maxmax += 2 * lazy[u], st[v].minmin -= 2 * lazy[u];
        lazy[v] += lazy[u];
    }
    lazy[u] = 0;
}
void update(int l, int r, lint x, int u = 1, int lo = 1, int hi = n) {
    if (r < lo || hi < l) return;
    if (l <= lo && hi <= r) {
        st[u].l_max += x, st[u].r_max += x;
        st[u].l_min -= x, st[u].r_min -= x;
        st[u].maxmax += 2 * x, st[u].minmin -= 2 * x;
        lazy[u] += x;
        return;
    }
    propogate(u);
    int mid = (lo + hi) / 2;
    update(l, r, x, 2 * u, lo, mid), update(l, r, x, 2 * u + 1, mid + 1, hi);
    st[u] = merge(st[2 * u], st[2 * u + 1]);
}

void debug(int u = 1, int lo = 1, int hi = n) {
    cout << lo << " " << hi << ": " << endl;
    cout << "VAL " << st[u].val << endl;
    cout << "MAXMAX " << st[u].maxmax << endl;
    cout << "MAXMIN " << st[u].maxmin << endl;
    cout << "MINMAX " << st[u].minmax << endl;
    cout << "MINMIN " << st[u].minmin << endl;
    cout << "LMAX " << st[u].l_max << endl;
    cout << "LMIN " << st[u].l_min << endl;
    cout << "RMAX " << st[u].r_max << endl;
    cout << "RMIN " << st[u].r_min << endl;
    cout << "LAZY " << lazy[u] << endl;

    if (lo == hi) return;
    propogate(u);
    int mid = (lo + hi) / 2;
    debug(2 * u, lo, mid), debug(2 * u + 1, mid + 1, hi);
}

int main() {
    // freopen("sje.in", "r", stdin);
    cin >> n >> q;
    for (int i = 1; i <= n; i++) cin >> a[i];

    build();
    
    for (int i = 1; i <= q; i++) {
        int l, r; cin >> l >> r;
        lint x; cin >> x;
        update(l, r, x);
        // if (i == q) debug();
        cout << st[1].val << '\n';
    }
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 452 KB Output is correct
6 Correct 1 ms 388 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 452 KB Output is correct
6 Correct 1 ms 388 KB Output is correct
7 Correct 10 ms 1244 KB Output is correct
8 Correct 15 ms 1244 KB Output is correct
9 Correct 9 ms 1228 KB Output is correct
10 Correct 9 ms 1220 KB Output is correct
11 Correct 15 ms 1228 KB Output is correct
12 Correct 12 ms 1236 KB Output is correct

Subtask #3
55.0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 452 KB Output is correct
6 Correct 1 ms 388 KB Output is correct
7 Correct 10 ms 1244 KB Output is correct
8 Correct 15 ms 1244 KB Output is correct
9 Correct 9 ms 1228 KB Output is correct
10 Correct 9 ms 1220 KB Output is correct
11 Correct 15 ms 1228 KB Output is correct
12 Correct 12 ms 1236 KB Output is correct
13 Correct 831 ms 52108 KB Output is correct
14 Correct 926 ms 52136 KB Output is correct
15 Correct 815 ms 52068 KB Output is correct
16 Correct 927 ms 52032 KB Output is correct
17 Correct 875 ms 51796 KB Output is correct
18 Correct 874 ms 52716 KB Output is correct