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Submission #680164

# Submission time Handle Problem Language Result Execution time Memory
680164 2023-01-10T03:44:54 Z Ninja_Kunai Distributing Candies (IOI21_candies) C++17
11 / 100
 149 ms 15648 KB 
/**
*    Author :  Nguyen Tuan Vu
*    Created : 10.01.2022
**/

#pragma GCC optimize("O2")
#pragma GCC target("avx,avx2,fma")
#include<bits/stdc++.h>
#define MASK(x) ((1ll)<<(x))
#define BIT(x, i) (((x)>>(i))&(1))
#define ALL(v)  (v).begin(), (v).end()
#define REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define FOR(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i)
#define FORD(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i)
#define db(val) "["#val" = "<<(val)<<"] "

template <class X, class Y> bool minimize(X &a, Y b) {
    if (a > b) return a = b, true;
    return false;
}
template <class X, class Y> bool maximize(X &a, Y b) {
    if (a < b) return a = b, true;
    return false;
}

using namespace std;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int Rand(int l, int r) {return l + rng() % (r - l + 1);}

const int N = 2e5 + 5;
const int INF = 1e9 + 7;
int n, nquery;
vector <int> C;
struct QUERY {
    int l, r, v;

    QUERY() {}
    QUERY(int l, int r, int v) {
        this->l = l;
        this->r = r;
        this->v = v;
    }
};
vector <QUERY> q;

namespace sub1 {
    vector <int> solve() {
        vector <int> a(n, 0);
        REP(i, nquery) {
            FOR(j, q[i].l, q[i].r) {
                a[j] += q[i].v;
                maximize(a[j], 0);
                minimize(a[j], C[j]);
            }
        }

        return a;
    }
}

namespace sub2 {
    bool check() {
        REP(i, nquery) if (q[i].v < 0) return false;
        return true;
    }

    struct Fenwick_Tree {
        vector <long long> bit;
        int n;

        Fenwick_Tree(int n) {
            this->n = n;
            bit.resize(n + 7, 0);
        }

        void update(int u, int v, int val) {
            for (; u <= n; u += u & -u) bit[u] += val;
            for (++v; v <= n; v += v & -v) bit[v] -= val;
        }

        long long get(int u) {
            long long ans = 0;
            for (; u; u -= u & -u) ans += bit[u];
            return ans;
        }
    };

    vector <int> solve() {
        Fenwick_Tree mybit(n);
        REP(i, nquery) {
            mybit.update(q[i].l + 1, q[i].r + 1, q[i].v);
        }

        vector <int> a(n);
        REP(i, n) a[i] = min(1ll * C[i], mybit.get(i + 1));
        return a;
    }
}

namespace sub3 {
    bool check() {
        REP(i, n - 1) if (C[i] != C[i + 1]) return false;
        return true;
    }

    int lim;
    struct Segment_Tree {
        struct node {
            int Min, Max;
            node() {}
            node(int Min, int Max) {
                this->Min = Min;
                this->Max = Max;
            }

            friend node operator + (node &x, node &y) {
                return node(min(x.Min, y.Min), max(x.Max, y.Max));
            }
        };

        vector <node> it;
        vector <long long> lazySum, lazySet;
        int n;

        Segment_Tree(int n) {
            this->n = n;
            it.resize(4 * n + 7, node(0, 0));
            lazySum.resize(4 * n + 7, 0);
            lazySet.resize(4 * n + 7, lim + 1);
        }

        void pushDown(int i) {
            FOR(j, 2 * i, 2 * i + 1) {
                if (lazySet[i] != lim + 1) {
                    it[j].Min = it[j].Max = lazySet[i];
                    lazySet[j] = lazySet[i];
                    lazySum[j] = 0;
                }

                if (lazySum[i] != 0) {
                    it[j].Min += lazySum[i];
                    it[j].Max += lazySum[i];
                    lazySum[j] += lazySum[i];
                }
            }

            lazySet[i] = lim + 1; lazySum[i] = 0;
        }

        void update(int i, int l, int r, int u, int v, int val) {
            if (l > v || r < u) return;
            if (u <= l && r <= v) {
                if (val < 0) {
                    if (it[i].Max + val <= 0) {
                        lazySet[i] = 0;
                        lazySum[i] = 0;
                        return;
                    }

                    if (it[i].Min + val >= 0) {
                        lazySum[i] += val;
                        return;
                    }
                }
                else {
                    if (it[i].Min + val >= lim) {
                        //cout << i << ' ' << l << ' ' << r << ' ' << val << '\n';
                        lazySet[i] = lim;
                        lazySum[i] = 0;
                        return;
                    }

                    if (it[i].Max + val <= lim) {
                        lazySum[i] += val;
                        return;
                    }
                }
            }

            int mid = (l + r) >> 1;
            pushDown(i);
            update(i << 1, l, mid, u, v, val);
            update(i << 1 | 1, mid + 1, r, u, v, val);
            it[i] = it[i << 1] + it[i << 1 | 1];
        }

        int get(int i, int l, int r, int u) {
            if (l > u || r < u) return lim + 1;
            if (l == r) return it[i].Max;

            int mid = (l + r) >> 1;
            pushDown(i);
            int L = get(i << 1, l, mid, u);
            int R = get(i << 1 | 1, mid + 1, r, u);
            return min(L, R);
        }
    };

    vector <int> solve() {
        lim = C[0];
        assert(1 == 0);
        //cout << lim << '\n';
        Segment_Tree myit(n);
        REP(i, nquery) {
            myit.update(1, 1, n, q[i].l + 1, q[i].r + 1, q[i].v);
            //REP(j, n) cout << myit.get(1, 1, n, j + 1) << " \n"[j == n - 1];
        }

        //REP(j, n) cout << myit.get(1, 1, n, j + 1) << " \n"[j == n - 1];
        vector <int> a(n, 0);
        REP(i, n) a[i] = myit.get(1, 1, n, i + 1);
        return a;
    }
};

vector <int> distribute_candies(vector <int> c, vector <int> l, vector <int> r, vector <int> v) {
    C = c;
    n = c.size();
    nquery = l.size();
    REP(i, nquery) q.push_back({l[i], r[i], v[i]});

    if (n <= 2000 && nquery <= 2000) return sub1::solve();
    else if (sub2::check()) return sub2::solve();
    else if (sub3::check()) return sub3::solve();
    return vector <int> (n, 0);
}

/*
⣿⣿⣿⣿⣿⣿⡷⣯⢿⣿⣷⣻⢯⣿⡽⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠸⣿⣿⣆⠹⣿⣿⢾⣟⣯⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣻⣽⡿⣿⣎⠙⣿⣞⣷⡌⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡄⠹⣿⣿⡆⠻⣿⣟⣯⡿⣽⡿⣿⣿⣿⣿⣽⡷⣯⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣟⣷⣿⣿⣿⡀⠹⣟⣾⣟⣆⠹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⡘⣿⣿⡄⠉⢿⣿⣽⡷⣿⣻⣿⣿⣿⣿⡝⣷⣯⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣯⢿⣾⢿⣿⡄⢄⠘⢿⣞⡿⣧⡈⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣧⠘⣿⣷⠈⣦⠙⢿⣽⣷⣻⣽⣿⣿⣿⣿⣌⢿⣯⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣟⣯⣿⢿⣿⡆⢸⡷⡈⢻⡽⣷⡷⡄⠻⣽⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣏⢰⣯⢷⠈⣿⡆⢹⢷⡌⠻⡾⢋⣱⣯⣿⣿⣿⣿⡆⢻⡿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡎⣿⢾⡿⣿⡆⢸⣽⢻⣄⠹⣷⣟⣿⣄⠹⣟⣿⣿⣟⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡇⢸⣯⣟⣧⠘⣷⠈⡯⠛⢀⡐⢾⣟⣷⣻⣿⣿⣿⡿⡌⢿⣻⣿⣿
⣿⣿⣿⣿⣿⣿⣧⢸⡿⣟⣿⡇⢸⣯⣟⣮⢧⡈⢿⣞⡿⣦⠘⠏⣹⣿⣽⢿⣿⣿⣿⣿⣯⣿⣿⣿⡇⢸⣿⣿⣾⡆⠹⢀⣠⣾⣟⣷⡈⢿⣞⣯⢿⣿⣿⣿⢷⠘⣯⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡈⣿⢿⣽⡇⠘⠛⠛⠛⠓⠓⠈⠛⠛⠟⠇⢀⢿⣻⣿⣯⢿⣿⣿⣿⣷⢿⣿⣿⠁⣾⣿⣿⣿⣧⡄⠇⣹⣿⣾⣯⣿⡄⠻⣽⣯⢿⣻⣿⣿⡇⢹⣾⣿
⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⡽⡇⢸⣿⣿⣿⣿⣿⣞⣆⠰⣶⣶⡄⢀⢻⡿⣯⣿⡽⣿⣿⣿⢯⣟⡿⢀⣿⣿⣿⣿⣿⣧⠐⣸⣿⣿⣷⣿⣿⣆⠹⣯⣿⣻⣿⣿⣿⢀⣿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⠘⣯⡿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣧⡈⢿⣳⠘⡄⠻⣿⢾⣽⣟⡿⣿⢯⣿⡇⢸⣿⣿⣿⣿⣿⣿⡀⢾⣿⣿⣿⣿⣿⣿⣆⠹⣾⣷⣻⣿⡿⡇⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠻⡇⢹⣆⠹⣟⣾⣽⣻⣟⣿⣽⠁⣾⣿⣿⣿⣿⣿⣿⣇⣿⣿⠿⠛⠛⠉⠙⠋⢀⠁⢘⣯⣿⣿⣧⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⣿⡃⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⠌⣿⣆⠘⣿⣞⡿⣞⡿⡞⢠⣿⣿⣿⣿⣿⡿⠛⠉⠁⢀⣀⣠⣤⣤⣶⣶⣶⡆⢻⣽⣞⡿⣷⠈⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠘⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⢿⣄⢻⣿⣧⠘⢯⣟⡿⣽⠁⣾⣿⣿⣿⣿⣿⡃⢀⢀⠘⠛⠿⢿⣻⣟⣯⣽⣻⣵⡀⢿⣯⣟⣿⢀⣿
⣿⣿⣿⣟⣿⣿⣿⣿⣶⣶⡆⢀⣿⣾⣿⣾⣷⣿⣶⠿⠚⠉⢀⢀⣤⣿⣷⣿⣿⣷⡈⢿⣻⢃⣼⣿⣿⣿⣿⣻⣿⣿⣿⡶⣦⣤⣄⣀⡀⠉⠛⠛⠷⣯⣳⠈⣾⡽⣾⢀⣿
⣿⢿⣿⣿⣻⣿⣿⣿⣿⣿⡿⠐⣿⣿⣿⣿⠿⠋⠁⢀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣌⣥⣾⡿⣿⣿⣷⣿⣿⢿⣷⣿⣿⣟⣾⣽⣳⢯⣟⣶⣦⣤⡾⣟⣦⠘⣿⢾⡁⢺
⣿⣻⣿⣿⡷⣿⣿⣿⣿⣿⡗⣦⠸⡿⠋⠁⢀⢀⣠⣴⢿⣿⣽⣻⢽⣾⣟⣷⣿⣟⣿⣿⣿⣳⠿⣵⣧⣼⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣽⣳⣯⣿⣿⣿⣽⢀⢷⣻⠄⠘
⣿⢷⣻⣿⣿⣷⣻⣿⣿⣿⡷⠛⣁⢀⣀⣤⣶⣿⣛⡿⣿⣮⣽⡻⣿⣮⣽⣻⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢀⢸⣿⢀⡆
⠸⣟⣯⣿⣿⣷⢿⣽⣿⣿⣷⣿⣷⣆⠹⣿⣶⣯⠿⣿⣶⣟⣻⢿⣷⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣯⣟⢀⡇
⣇⠹⣟⣾⣻⣿⣿⢾⡽⣿⣿⣿⣿⣿⣆⢹⣶⣿⣻⣷⣯⣟⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⡿⡇⢸⡇
⣿⣆⠹⣷⡻⣽⣿⣯⢿⣽⣻⣿⣿⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⠇⣼⡇
⡙⠾⣆⠹⣿⣦⠛⣿⢯⣷⢿⡽⣿⣿⣿⣿⣆⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠎⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣿⣾⣣⡿⡇
⣿⣷⡌⢦⠙⣿⣿⣌⠻⣽⢯⣿⣽⣻⣿⣿⣿⣧⠩⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢰⢣⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢀⢀⢿⣞⣷⢿⡇
⣿⣽⣆⠹⣧⠘⣿⣿⡷⣌⠙⢷⣯⡷⣟⣿⣿⣿⣷⡀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣈⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣴⡧⢀⠸⣿⡽⣿⢀
⢻⣽⣿⡄⢻⣷⡈⢿⣿⣿⢧⢀⠙⢿⣻⡾⣽⣻⣿⣿⣄⠌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢁⣰⣾⣟⡿⢀⡄⢿⣟⣿⢀
⡄⢿⣿⣷⢀⠹⣟⣆⠻⣿⣿⣆⢀⣀⠉⠻⣿⡽⣯⣿⣿⣷⣈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⣠⠘⣯⣷⣿⡟⢀⢆⠸⣿⡟⢸
⣷⡈⢿⣿⣇⢱⡘⢿⣷⣬⣙⠿⣧⠘⣆⢀⠈⠻⣷⣟⣾⢿⣿⣆⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣠⡞⢡⣿⢀⣿⣿⣿⠇⡄⢸⡄⢻⡇⣼
⣿⣷⡈⢿⣿⡆⢣⡀⠙⢾⣟⣿⣿⣷⡈⠂⠘⣦⡈⠿⣯⣿⢾⣿⣆⠙⠻⠿⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢋⣠⣾⡟⢠⣿⣿⢀⣿⣿⡟⢠⣿⢈⣧⠘⢠⣿
⣿⣿⣿⣄⠻⣿⡄⢳⡄⢆⡙⠾⣽⣿⣿⣆⡀⢹⡷⣄⠙⢿⣿⡾⣿⣆⢀⡀⢀⢀⢀⢀⢀⢀⢀⢀⢀⢀⢀⢀⣀⣠⣴⡿⣯⠏⣠⣿⣿⡏⢸⣿⡿⢁⣿⣿⢀⣿⠆⢸⣿
⣿⣿⣿⣿⣦⡙⣿⣆⢻⡌⢿⣶⢤⣉⣙⣿⣷⡀⠙⠽⠷⠄⠹⣿⣟⣿⣆⢙⣋⣤⣤⣤⣄⣀⢀⢀⢀⢀⣾⣿⣟⡷⣯⡿⢃⣼⣿⣿⣿⠇⣼⡟⣡⣿⣿⣿⢀⡿⢠⠈⣿
⣿⣿⣿⣿⣿⣷⣮⣿⣿⣿⡌⠁⢤⣤⣤⣤⣬⣭⣴⣶⣶⣶⣆⠈⢻⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣷⣶⣤⣌⣉⡘⠛⠻⠶⣿⣿⣿⣿⡟⣰⣫⣴⣿⣿⣿⣿⠄⣷⣿⣿⣿
*/

Subtask #1
3.0 / 3.0

# 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 1 ms 320 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 149 ms 12604 KB Output is correct
2 Correct 109 ms 12636 KB Output is correct
3 Correct 138 ms 12644 KB Output is correct

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Runtime error 66 ms 15648 KB Execution killed with signal 6
3 Halted 0 ms 0 KB -

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 304 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Incorrect 58 ms 8780 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #5
0 / 33.0

# 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 1 ms 320 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct
6 Correct 149 ms 12604 KB Output is correct
7 Correct 109 ms 12636 KB Output is correct
8 Correct 138 ms 12644 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Runtime error 66 ms 15648 KB Execution killed with signal 6
11 Halted 0 ms 0 KB -