Submission #815587

# Submission time Handle Problem Language Result Execution time Memory
815587 2023-08-08T17:11:07 Z t6twotwo Distributing Candies (IOI21_candies) C++17
38 / 100
755 ms 27884 KB
#include "candies.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
constexpr ll inf = 1e18;
vector<ll> mn, mn2, mx, mx2, lazy;
void apply_add(int p, ll v) {
    lazy[p] += v;
    mn[p] += v;
    mx[p] += v;
    if (mn2[p] != inf) {
        mn2[p] += v;
    }
    if (mx2[p] != -inf) {
        mx2[p] += v;
    }
}
void apply_upd(int p, ll cmn, ll cmx) {
    if (cmn == cmx) {
        mn[p] = mx[p] = cmn;
        mn2[p] = inf;
        mx2[p] = -inf;
    } else {
        if (cmn < mx[p]) {
            if (mn[p] == mx[p]) {
                mn[p] = cmn;
            }
            if (mn2[p] == mx[p]) {
                mn2[p] = cmn;
            }
            mx[p] = cmn;
        }
        if (cmx > mn[p]) {
            if (mx[p] == mn[p]) {
                mx[p] = cmx;
            }
            if (mx2[p] == mn[p]) {
                mx2[p] = cmx;
            }
            mn[p] = cmx;
        }
    }
}
void push_add(int p) {
    apply_add(p * 2, lazy[p]);
    apply_add(p * 2 + 1, lazy[p]);
    lazy[p] = 0;
}
void push_upd(int p) {
    apply_upd(p * 2, mx[p], mn[p]);
    apply_upd(p * 2 + 1, mx[p], mn[p]);
}
void pull(int p) {
    int l = p * 2;
    int r = p * 2 + 1;
    mx[p] = max(mx[l], mx[r]);
    mn[p] = min(mn[l], mn[r]);
    mx2[p] = max(mx[p] == mx[l] ? mx2[l] : mx[l], mx[p] == mx[r] ? mx2[r] : mx[r]);
    mn2[p] = min(mn[p] == mn[l] ? mn2[l] : mn[l], mn[p] == mn[r] ? mn2[r] : mn[r]);
}
void add(int p, int l, int r, int L, int R, int v) {
    if (R <= l || r <= L) {
        return;
    }
    if (L <= l && r <= R) {
        apply_add(p, v);
        return;
    }
    int m = (l + r + 1) / 2;
    push_add(p);
    push_upd(p);
    add(p * 2, l, m, L, R, v);
    add(p * 2 + 1, m, r, L, R, v);
    pull(p);
}
void upd(int p, int l, int r, int L, int R, ll v, bool f) {
    if (R <= l || r <= L || (!f && v >= mx[p]) || (f && v <= mn[p])) {
        return;
    }
    if (L <= l && r <= R && (mn[p] == mx[p] || (!f && v > mx2[p]) || (f && v < mn2[p]))) {
        if (f) {
            apply_upd(p, inf, v);
        } else {
            apply_upd(p, v, -inf);
        }
        return;
    }
    int m = (l + r + 1) / 2;
    push_add(p);
    push_upd(p);
    upd(p * 2, l, m, L, R, v, f);
    upd(p * 2 + 1, m, r, L, R, v, f);
    pull(p);
}
vector<int> distribute_candies(vector<int> C, vector<int> L, vector<int> R, vector<int> V) {
    for (int &x : R) {
        x++;
    }
    int N = C.size(), Q = V.size();
    if (N <= 2000 && Q <= 2000) {
        vector<int> A(N);
        for (int i = 0; i < Q; i++) {
            for (int j = L[i]; j < R[i]; j++) {
                A[j] += V[i];
                A[j] = max(A[j], 0);
                A[j] = min(A[j], C[j]);
            }
        }
        return A;
    }
    if (*min_element(V.begin(), V.end()) > 0) {
        vector<ll> s(N + 1);
        for (int i = 0; i < Q; i++) {
            s[L[i]] += V[i];
            s[R[i]] -= V[i];
        }
        vector<int> A(N);
        for (int i = 0; i < N; i++) {
            A[i] = min((ll)C[i], s[i]);
            s[i + 1] += s[i];
        }
        return A;
    }
    int M = 2 << __lg(N - 1);
    if (L == vector(Q, 0) && R == vector(Q, N)) {
        vector<int> ord(N);
        iota(ord.begin(), ord.end(), 0);
        sort(ord.begin(), ord.end(), [&](int i, int j) {
            return C[i] < C[j];
        });
        vector<int> st(2 * M), df(2 * M), lz(2 * M, -1);
        vector<ll> sum(2 * M);
        auto pull = [&](int i) {
            st[i] = max(st[i * 2], st[i * 2 + 1]);
            df[i] = max(df[i * 2], df[i * 2 + 1]);
        };
        auto apply = [&](int p, int l, int r, int v, ll s) {
            if (v == 0) {
                st[p] = 0;
                df[p] = C[ord[r - 1]];
            } else if (v == 1) {
                st[p] = C[ord[r - 1]];
                df[p] = 0;
            }
            st[p] += s;
            df[p] -= s;
            if (v != -1) {
                lz[p] = v;
                sum[p] = s;
            } else {
                sum[p] += s;
            }
        };
        auto push = [&](int p, int l, int r) {
            int m = (l + r + 1) / 2;
            apply(p * 2, l, m, lz[p], sum[p]);
            apply(p * 2 + 1, m, r, lz[p], sum[p]);
            lz[p] = -1;
            sum[p] = 0;
        };
        auto upd = [&](auto upd, int p, int l, int r, int L, int R, int f, int v) -> void {
            if (R <= l || r <= L) {
                return;
            }
            if (L <= l && r <= R) {
                if (f == 0) {
                    apply(p, l, r, 0, 0);
                } else if (f == 1) {
                    apply(p, l, r, 1, 0);
                } else {
                    apply(p, l, r, -1, v);
                }
                return;
            }
            int m = (l + r + 1) / 2;
            push(p, l, r);
            upd(upd, p * 2, l, m, L, R, f, v);
            upd(upd, p * 2 + 1, m, r, L, R, f, v);
            pull(p);
        };
        auto find = [&](auto find, int p, int l, int r, int v, vector<int> &s) -> int {
            if (l + 1 == r) {
                return l;
            }
            int m = (l + r + 1) / 2;
            if (s[p * 2] >= v) {
                return find(find, p * 2, l, m, v, s);
            } else {
                return find(find, p * 2 + 1, m, r, v, s);
            }
        };
        for (int i = 0; i < N; i++) {
            df[i + M] = C[ord[i]];
        }
        for (int i = M - 1; i; i--) {
            pull(i);
        }
        for (int i = 0; i < Q; i++) {
            if (V[i] < 0) {
                int f = st[1] < -V[i] ? N : find(find, 1, 0, M, -V[i], st);
                upd(upd, 1, 0, M, 0, f, 0, 0);
                upd(upd, 1, 0, M, f, N, 2, V[i]);
            } else {
                int f = df[1] < V[i] ? N : find(find, 1, 0, M, V[i], df);
                upd(upd, 1, 0, M, 0, f, 1, 0);
                upd(upd, 1, 0, M, f, N, 2, V[i]);
            }
        }
        vector<int> ans(N);
        auto qry = [&](auto qry, int p, int l, int r) -> void {
            if (l + 1 == r) {
                ans[ord[l]] = st[p];
                return;
            }
            int m = (l + r + 1) / 2;
            push(p, l, r);
            qry(qry, p * 2, l, m);
            qry(qry, p * 2 + 1, m, r);
        };
        qry(qry, 1, 0, M);
        return ans;
    }
    mn.resize(2 * M, 0);
    mx.resize(2 * M, 0);
    mn2.resize(2 * M, inf);
    mx2.resize(2 * M, -inf);
    lazy.resize(2 * M);
    for (int i = 0; i < Q; i++) {
        add(1, 0, M, L[i], R[i], V[i]);
        if (V[i] > 0) {
            upd(1, 0, M, L[i], R[i], C[0], 0);
        } else {
            upd(1, 0, M, L[i], R[i], 0, 1);
        }
    }
    for (int i = 1; i < M; i++) {
        push_add(i);
        push_upd(i);
    }
    vector<int> ans(N);
    for (int i = 0; i < N; i++) {
        ans[i] = mx[i + M];
    }
    return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 83 ms 8804 KB Output is correct
2 Correct 78 ms 8816 KB Output is correct
3 Correct 77 ms 8820 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 159 ms 5724 KB Output is correct
3 Correct 54 ms 24308 KB Output is correct
4 Correct 439 ms 27880 KB Output is correct
5 Correct 513 ms 27880 KB Output is correct
6 Correct 755 ms 27880 KB Output is correct
7 Correct 688 ms 27884 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 224 KB Output is correct
3 Runtime error 141 ms 10156 KB Execution killed with signal 11
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct
6 Correct 83 ms 8804 KB Output is correct
7 Correct 78 ms 8816 KB Output is correct
8 Correct 77 ms 8820 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 159 ms 5724 KB Output is correct
11 Correct 54 ms 24308 KB Output is correct
12 Correct 439 ms 27880 KB Output is correct
13 Correct 513 ms 27880 KB Output is correct
14 Correct 755 ms 27880 KB Output is correct
15 Correct 688 ms 27884 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 224 KB Output is correct
18 Runtime error 141 ms 10156 KB Execution killed with signal 11
19 Halted 0 ms 0 KB -