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Submission #826676

# Submission time Handle Problem Language Result Execution time Memory
826676 2023-08-15T19:56:20 Z Liudas Distributing Candies (IOI21_candies) C++17
100 / 100
 1346 ms 31452 KB 
#include <iostream>
#include "candies.h"
#include <cassert>
#include <cstdio>
#include <climits>
#include <vector>
using namespace std;
class segtree{
public:
    struct node{
        long long mini;
        long long maxi;
        long long lazy;
    };
    vector<node> tree;
    int N;
    void init(int n){
        N = 1;
        while(N <= n){
            N*=2;
        }
        tree.assign(2 * N, {0, 0, 0});
    }
    void lazy_upd(int head){
        tree[head].mini += tree[head].lazy;
        tree[head].maxi += tree[head].lazy;
        if(head < N){
            tree[head * 2 + 1].lazy += tree[head].lazy;
            tree[head * 2 + 2].lazy += tree[head].lazy;
        }
        tree[head].lazy = 0;
    }
    void update(int head, int L, int R, int l, int r, int val){
        lazy_upd(head);
        if(l <= L && R <= r){
            tree[head].lazy = val;
            lazy_upd(head); 
            return;
        }
        if(R <= l || r <= L){
            return;
        }
        int mid = (L + R) / 2;
        update(head * 2 + 1, L, mid, l, r, val);
        update(head * 2 + 2, mid, R, l, r, val);
        tree[head].mini = min(tree[head * 2 + 1].mini, tree[head * 2 + 2].mini);
        tree[head].maxi = max(tree[head * 2 + 1].maxi, tree[head * 2 + 2].maxi);
    }
    void update(int l, int val){
        update(0, 0, N, l, N, val);
    }
    long long getmin(int head, int L, int R, int l, int r){
        lazy_upd(head);
        if(l <= L && R <= r){
            return tree[head].mini;
        }
        if(R <= l || r <= L){
            return LLONG_MAX;
        }
        int mid = (L + R)/ 2;
        return min(getmin(head * 2 + 1, L, mid, l, r), getmin(head * 2 + 2, mid, R, l, r));
    }
    long long getmin(int l){
        return getmin(0, 0, N, l, N);
    }
    long long getmax(int head, int L, int R, int l, int r){
        lazy_upd(head);
        if(l <= L && R <= r){
            return tree[head].maxi;
        }
        if(R <= l || r <= L){
            return LLONG_MIN;
        }
        int mid = (L + R)/ 2;
        return max(getmax(head * 2 + 1, L, mid, l, r), getmax(head * 2 + 2, mid, R, l, r));
    }
    long long getmax(int l){
        return getmax(0, 0, N, l, N);
    }
    long long getpoint(int head, int L, int R, int x){
        lazy_upd(head);
        if(R - L == 1){
            return tree[head].mini;
        }
        int mid = (L + R) / 2;
        if(x < mid){
            return getpoint(head * 2 + 1, L, mid, x);
        }
        else{
            return getpoint(head * 2 + 2, mid, R, x);
        }
    }
    long long getpoint(int x){
        return getpoint(0, 0, N, x);
    }
};
vector<int> distribute_candies(vector<int> c, vector<int> l, vector<int> r, vector<int> val){
    int N = c.size();
    int Q = l.size();
    vector<int> ans(N);
    segtree tree;
    tree.init(Q + 5);
    vector<vector<pair<int, int>>> op(N + 5);
    for(int i = 0; i < Q; i ++){
        op[l[i]].push_back({i + 2, val[i]});
        op[r[i]+1].push_back({i + 2, -val[i]});
    }
    for(int i = 0; i < N; i ++){
        for(auto[ll, rr] : op[i]){
            tree.update(ll, rr);
        }
        int l = 0, r = Q + 1;
        if(tree.getmax(0)-tree.getmin(0) < c[i]) { // easy case: range is small
            ans[i] = tree.getpoint(Q+1) - tree.getmin(0);
            continue;
        }
        while(l + 1 < r){
            int mid = (l + r) / 2;
            if(tree.getmax(mid)-tree.getmin(mid) > c[i]){
                l = mid;
            }
            else{
                r = mid;
            }
        }
        //cout << tree.getpoint(l) << " " <<  tree.getpoint(Q + 1) << " " << l << endl;
        long long a = tree.getpoint(l), b = tree.getpoint(Q + 1);
        if(a < b){
            int d = tree.getmax(l);
            ans[i] = c[i] - (d - b);
        }
        else{
            int d = tree.getmin(l);
            ans[i] = b - d;
        }
    }
    return ans;
}

Subtask #1
3.0 / 3.0

# 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 468 KB Output is correct
4 Correct 2 ms 468 KB Output is correct
5 Correct 5 ms 468 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1346 ms 31392 KB Output is correct
2 Correct 1283 ms 31396 KB Output is correct
3 Correct 1125 ms 31392 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 188 ms 21836 KB Output is correct
3 Correct 353 ms 7616 KB Output is correct
4 Correct 1243 ms 31396 KB Output is correct
5 Correct 1235 ms 31400 KB Output is correct
6 Correct 1274 ms 31388 KB Output is correct
7 Correct 1196 ms 31396 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 107 ms 20696 KB Output is correct
4 Correct 291 ms 7600 KB Output is correct
5 Correct 820 ms 27724 KB Output is correct
6 Correct 942 ms 27720 KB Output is correct
7 Correct 1045 ms 27732 KB Output is correct
8 Correct 765 ms 27728 KB Output is correct
9 Correct 1081 ms 27732 KB Output is correct

Subtask #5
33.0 / 33.0

# 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 468 KB Output is correct
4 Correct 2 ms 468 KB Output is correct
5 Correct 5 ms 468 KB Output is correct
6 Correct 1346 ms 31392 KB Output is correct
7 Correct 1283 ms 31396 KB Output is correct
8 Correct 1125 ms 31392 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 188 ms 21836 KB Output is correct
11 Correct 353 ms 7616 KB Output is correct
12 Correct 1243 ms 31396 KB Output is correct
13 Correct 1235 ms 31400 KB Output is correct
14 Correct 1274 ms 31388 KB Output is correct
15 Correct 1196 ms 31396 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 107 ms 20696 KB Output is correct
19 Correct 291 ms 7600 KB Output is correct
20 Correct 820 ms 27724 KB Output is correct
21 Correct 942 ms 27720 KB Output is correct
22 Correct 1045 ms 27732 KB Output is correct
23 Correct 765 ms 27728 KB Output is correct
24 Correct 1081 ms 27732 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 211 ms 7684 KB Output is correct
27 Correct 181 ms 21744 KB Output is correct
28 Correct 884 ms 31416 KB Output is correct
29 Correct 1058 ms 31392 KB Output is correct
30 Correct 1173 ms 31384 KB Output is correct
31 Correct 1260 ms 31452 KB Output is correct
32 Correct 1243 ms 31384 KB Output is correct