oj.uz

Submission #815927

# Submission time Handle Problem Language Result Execution time Memory
815927 2023-08-09T02:38:27 Z PixelCat Distributing Candies (IOI21_candies) C++17
100 / 100
 292 ms 37816 KB 
#include "candies.h"

#ifdef NYAOWO
#include "grader.cpp"
#endif

#include <bits/stdc++.h>
#define For(i, a, b) for(int i = a; i <= b; i++)
#define Forr(i, a, b) for(int i = a; i >= b; i--)
#define F first
#define S second
#define sz(x) ((int)x.size())
#define all(x) x.begin(), x.end()
#define eb emplace_back
#define int LL
using namespace std;
using i32 = int32_t;
using LL = long long;
using pii = pair<int, int>;

inline void chmin(int &x, const int &v) {
    x = min(x, v);
}
inline void chmax(int &x, const int &v) {
    x = max(x, v);
}

const int MAXN = 200'000;
const int MAXQ = MAXN;
const int INF = 1e18;

// single point add, min/max sum query on suffixs
#define L(id) ((id) * 2 + 1)
#define R(id) ((id) * 2 + 2)
struct SegTree {
    struct Node {
        int mns, mxs, sum;
        // min suffix, max suffix, sum
    } a[MAXN * 4 + 10];

    void pull(int id) {
        a[id].mns = min(a[L(id)].mns + a[R(id)].sum, a[R(id)].mns);
        a[id].mxs = max(a[L(id)].mxs + a[R(id)].sum, a[R(id)].mxs);
        a[id].sum = a[L(id)].sum + a[R(id)].sum;
    }

    // initialize
    void build() {
        memset(a, 0, sizeof(a));
    }

    // add value for a single point
    void single_add(int id, int l, int r, int pos, int val) {
        if(l == r) {
            a[id].mns += val;
            a[id].mxs += val;
            a[id].sum += val;
            return;
        }
        int m = l + (r - l) / 2;
        if(pos <= m) single_add(L(id), l, m, pos, val);
        if(pos > m)  single_add(R(id), m + 1, r, pos, val);
        pull(id);
    }

    // {pos, {min, max}}
    int solve(int q, int c) {
        int id = 0, l = 0, r = q + 1;
        int mx = 0, mn = 0, sum = 0;
        while(l != r) {
            int nmx = max(mx, a[R(id)].mxs + sum);
            int nmn = min(mn, a[R(id)].mns + sum);
            int m = l + (r - l) / 2;
            if(nmx - nmn > c) {
                id = R(id);
                l = m + 1;
            } else {
                mx = nmx; mn = nmn;
                sum += a[R(id)].sum;
                id = L(id);
                r = m;
            }
        }
        if(a[id].sum < 0) return c - mx;
        else              return -mn;
    }
} seg;

vector<i32> distribute_candies(vector<i32> C, vector<i32> LE, vector<i32> RI, vector<i32> VAL) {
    int n = sz(C);
    int q = sz(VAL);

    seg.build();
    seg.single_add(0, 0, q + 1, 0, INF);

    struct Event { int time, pos, val; };
    vector<Event> ev;
    For(i, 0, q - 1) {
        ev.push_back({LE[i], i + 1, -VAL[i]});
        ev.push_back({RI[i] + 1, i + 1, VAL[i]});
    }
    sort(all(ev), [&](const Event &e1, const Event &e2) {
        return e1.time > e2.time;
    });

    vector<int> ans(n);
    For(i, 0, n - 1) {
        while(sz(ev) && ev.back().time == i) {
            auto e = ev.back(); ev.pop_back();
            seg.single_add(0, 0, q + 1, e.pos, e.val);
        }
        int c = C[i];
        ans[i] = seg.solve(q, c);
    }
    return vector<i32>(all(ans));
}

/*

3
10 15 13
2
0 2 20
0 1 -11

0 4 13

*/

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 19028 KB Output is correct
2 Correct 8 ms 19028 KB Output is correct
3 Correct 8 ms 19208 KB Output is correct
4 Correct 9 ms 19284 KB Output is correct
5 Correct 9 ms 19284 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 243 ms 37728 KB Output is correct
2 Correct 292 ms 37740 KB Output is correct
3 Correct 244 ms 37812 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 19028 KB Output is correct
2 Correct 203 ms 36152 KB Output is correct
3 Correct 66 ms 23228 KB Output is correct
4 Correct 251 ms 37816 KB Output is correct
5 Correct 291 ms 37736 KB Output is correct
6 Correct 264 ms 37740 KB Output is correct
7 Correct 280 ms 37732 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 19028 KB Output is correct
2 Correct 9 ms 19000 KB Output is correct
3 Correct 93 ms 36184 KB Output is correct
4 Correct 52 ms 23240 KB Output is correct
5 Correct 138 ms 37724 KB Output is correct
6 Correct 155 ms 37816 KB Output is correct
7 Correct 143 ms 37732 KB Output is correct
8 Correct 138 ms 37724 KB Output is correct
9 Correct 154 ms 37728 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 19028 KB Output is correct
2 Correct 8 ms 19028 KB Output is correct
3 Correct 8 ms 19208 KB Output is correct
4 Correct 9 ms 19284 KB Output is correct
5 Correct 9 ms 19284 KB Output is correct
6 Correct 243 ms 37728 KB Output is correct
7 Correct 292 ms 37740 KB Output is correct
8 Correct 244 ms 37812 KB Output is correct
9 Correct 7 ms 19028 KB Output is correct
10 Correct 203 ms 36152 KB Output is correct
11 Correct 66 ms 23228 KB Output is correct
12 Correct 251 ms 37816 KB Output is correct
13 Correct 291 ms 37736 KB Output is correct
14 Correct 264 ms 37740 KB Output is correct
15 Correct 280 ms 37732 KB Output is correct
16 Correct 7 ms 19028 KB Output is correct
17 Correct 9 ms 19000 KB Output is correct
18 Correct 93 ms 36184 KB Output is correct
19 Correct 52 ms 23240 KB Output is correct
20 Correct 138 ms 37724 KB Output is correct
21 Correct 155 ms 37816 KB Output is correct
22 Correct 143 ms 37732 KB Output is correct
23 Correct 138 ms 37724 KB Output is correct
24 Correct 154 ms 37728 KB Output is correct
25 Correct 7 ms 19028 KB Output is correct
26 Correct 54 ms 23152 KB Output is correct
27 Correct 179 ms 36152 KB Output is correct
28 Correct 273 ms 37724 KB Output is correct
29 Correct 237 ms 37724 KB Output is correct
30 Correct 258 ms 37728 KB Output is correct
31 Correct 234 ms 37724 KB Output is correct
32 Correct 230 ms 37724 KB Output is correct