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답안 #712369

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
712369 2023-03-18T16:58:17 Z danikoynov 사탕 분배 (IOI21_candies) C++17
100 / 100
 1336 ms 49632 KB 
#include "candies.h"

#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
const int maxn = 2e5 + 10;
const ll inf = 1e18;

int n, q;

vector < int > s;
ll pref[maxn], cap[maxn];
vector < int > add[maxn], rem[maxn];

struct node
{
    ll max_val, min_val;

    node(ll _max_val = 0, ll _min_val = 0)
    {
        max_val = _max_val;
        min_val = _min_val;
    }
};

node tree[4 * maxn];
ll lazy[4 * maxn];

void push_lazy(int root, int left, int right)
{
    tree[root].max_val += lazy[root];
    tree[root].min_val += lazy[root];

    if (left != right)
    {
        lazy[root * 2] += lazy[root];
        lazy[root * 2 + 1] += lazy[root];
    }

    lazy[root] = 0;
}

node merge_node(node left, node right)
{
    node cur;
    cur.max_val = max(left.max_val, right.max_val);
    cur.min_val = min(left.min_val, right.min_val);
    return cur;
}

void update_range(int root, int left, int right, int qleft, int qright, ll val)
{
    push_lazy(root, left, right);
    if (left > qright || right < qleft)
        return;

    if (left >= qleft && right <= qright)
    {
        lazy[root] += val;
        push_lazy(root, left, right);
        return;
    }

    int mid = (left + right) / 2;
    update_range(root * 2, left, mid, qleft, qright, val);
    update_range(root * 2 + 1, mid + 1, right, qleft, qright, val);

    tree[root] = merge_node(tree[root * 2], tree[root * 2 + 1]);
}

node query(int root, int left, int right, int qleft, int qright)
{
    push_lazy(root, left, right);

    if (left > qright || right < qleft)
        return node(-inf, inf);

    if (left >= qleft && right <= qright)
        return tree[root];

    int mid = (left + right) / 2;
    return merge_node(query(root * 2, left, mid, qleft, qright),
                      query(root * 2 + 1, mid + 1, right, qleft, qright));

}

bool check(int pos, ll val)
{
    node ver = query(1, 0, q + 1, pos, q + 1);

    ll min_height = ver.min_val;
    ll max_height = ver.max_val;
   ///cout << pos << " : " << val << " : " << ver.max_val << " " << ver.min_val << endl;
    /**for (int i = pos; i < q + 2; i ++)
    {
        min_height = min(min_height, pref[i]);
        max_height = max(max_height, pref[i]);
    }*/
    return (max_height - val > min_height);
}


vector<int> distribute_candies(vector<int> c, vector<int> l,
                               vector<int> r, vector<int> v)
{
    n = c.size();
    q = l.size();
    s.resize(n, 0);
    for (int i = 0; i < n; i ++)
        cap[i] = c[i];
    for (int i = 0; i < q; i ++)
    {
        add[l[i]].push_back(i);
        rem[r[i]].push_back(i);
    }

    update_range(1, 0, q + 1, 0, q + 1, inf);
    update_range(1, 0, q + 1, 1, q + 1, -inf);

    ll fin = 0;
    for (int i = 0; i < n; i ++)
    {
        for (int idx : add[i])
        {
            ///cout << idx << endl;
            update_range(1, 0, q + 1, idx + 2, q + 1, v[idx]), fin += v[idx];
        }

        /**cout << "check " << i << endl;
        for (int j = 0; j < q + 2; j ++)
            cout << query(1, 0, q + 1, j, j).max_val << " ";
        cout << endl;*/
        /**pref[0] = inf;
        pref[1] = 0;
        for (int j = 0; j < q; j ++)
        {
            pref[j + 2] = pref[j + 1];
            if (l[j] <= i && r[j] >= i)
            {
                ///cout << "here" << endl;
                pref[j + 2] += v[j];
            }
        }*/
        /**for (int j = 0; j < q + 2; j ++)
            cout << pref[j] << " ";
        cout << endl;*/

        int lf = 1, rf = q + 1;
        while(lf <= rf)
        {
            int mf = (lf + rf) / 2;
            if (check(mf, c[i]))
                lf = mf + 1;
            else
                rf = mf - 1;
        }


        node ver = query(1, 0, q + 1, rf, q + 1);

        ll min_height = ver.min_val;
        ll max_height = ver.max_val;
        /**for (int i = pos; i < q + 2; i ++)
        {
            min_height = min(min_height, pref[i]);
            max_height = max(max_height, pref[i]);
        }*/

        //cout << "final " << min_height << " " << max_height << " " << rf << endl;
        ll base =query(1, 0, q + 1, rf, rf).max_val;
        //cout << base << " " << fin << " " << max_height <<  endl;
        if (max_height == query(1, 0, q + 1, rf, rf).max_val)
            s[i] = fin - min_height;
        else
            s[i] = fin - (max_height - c[i]);//, cout << "yes" << endl;

        for (int idx : rem[i])
        {
            ///cout << idx << endl;
            update_range(1, 0, q + 1, idx + 2, q + 1, -v[idx]), fin -= v[idx];
        }

    }

    return s;
}

Compilation message

candies.cpp: In function 'std::vector<int> distribute_candies(std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>)':
candies.cpp:171:12: warning: unused variable 'base' [-Wunused-variable]
  171 |         ll base =query(1, 0, q + 1, rf, rf).max_val;
      |            ^~~~

Subtask #1
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 22228 KB Output is correct
2 Correct 10 ms 22228 KB Output is correct
3 Correct 11 ms 22336 KB Output is correct
4 Correct 13 ms 22228 KB Output is correct
5 Correct 16 ms 22356 KB Output is correct

Subtask #2
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1336 ms 42912 KB Output is correct
2 Correct 1318 ms 46024 KB Output is correct
3 Correct 1260 ms 46028 KB Output is correct

Subtask #3
27.0 / 27.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 22228 KB Output is correct
2 Correct 274 ms 33928 KB Output is correct
3 Correct 385 ms 28512 KB Output is correct
4 Correct 1229 ms 43296 KB Output is correct
5 Correct 1251 ms 49292 KB Output is correct
6 Correct 1243 ms 49632 KB Output is correct
7 Correct 1242 ms 48952 KB Output is correct

Subtask #4
29.0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 22228 KB Output is correct
2 Correct 11 ms 22228 KB Output is correct
3 Correct 179 ms 32760 KB Output is correct
4 Correct 401 ms 27096 KB Output is correct
5 Correct 1070 ms 37532 KB Output is correct
6 Correct 1075 ms 41432 KB Output is correct
7 Correct 1093 ms 41400 KB Output is correct
8 Correct 1051 ms 40932 KB Output is correct
9 Correct 1041 ms 41404 KB Output is correct

Subtask #5
33.0 / 33.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 22228 KB Output is correct
2 Correct 10 ms 22228 KB Output is correct
3 Correct 11 ms 22336 KB Output is correct
4 Correct 13 ms 22228 KB Output is correct
5 Correct 16 ms 22356 KB Output is correct
6 Correct 1336 ms 42912 KB Output is correct
7 Correct 1318 ms 46024 KB Output is correct
8 Correct 1260 ms 46028 KB Output is correct
9 Correct 11 ms 22228 KB Output is correct
10 Correct 274 ms 33928 KB Output is correct
11 Correct 385 ms 28512 KB Output is correct
12 Correct 1229 ms 43296 KB Output is correct
13 Correct 1251 ms 49292 KB Output is correct
14 Correct 1243 ms 49632 KB Output is correct
15 Correct 1242 ms 48952 KB Output is correct
16 Correct 10 ms 22228 KB Output is correct
17 Correct 11 ms 22228 KB Output is correct
18 Correct 179 ms 32760 KB Output is correct
19 Correct 401 ms 27096 KB Output is correct
20 Correct 1070 ms 37532 KB Output is correct
21 Correct 1075 ms 41432 KB Output is correct
22 Correct 1093 ms 41400 KB Output is correct
23 Correct 1051 ms 40932 KB Output is correct
24 Correct 1041 ms 41404 KB Output is correct
25 Correct 10 ms 22236 KB Output is correct
26 Correct 413 ms 28340 KB Output is correct
27 Correct 310 ms 36540 KB Output is correct
28 Correct 1239 ms 47476 KB Output is correct
29 Correct 1220 ms 47988 KB Output is correct
30 Correct 1322 ms 48056 KB Output is correct
31 Correct 1270 ms 48252 KB Output is correct
32 Correct 1246 ms 48464 KB Output is correct