oj.uz

Submission #804223

# Submission time Handle Problem Language Result Execution time Memory
804223 2023-08-03T07:36:31 Z That_Salamander Sails (IOI07_sails) C++14
25 / 100
 77 ms 35784 KB 
#include <bits/stdc++.h>
#define int long long

#define FOR(var, bound) for (int var = 0; var < bound; var++)
#define FORB(var, lb, ub) for (int var = lb; var < ub; var++)
#define FORR(var, bound) for (int var = bound - 1; var >= 0; var--)

using namespace std;

typedef long long ll;
typedef vector<int> vi;
typedef vector<vector<int>> vvi;
typedef pair<int, int> pii;

#define N 1000005

int n;
pii masts[N];

int t[N * 4];
int lazy[N * 4];

void pushdown(int n, int l, int r) {
    if (lazy[n] == 0 || l == r) return;

    t[n * 2] += lazy[n];
    t[n * 2 + 1] += lazy[n];

    lazy[n * 2] += lazy[n];
    lazy[n * 2 + 1] += lazy[n];

    lazy[n] = 0;
}

void update(int ql, int qr, int v, int n = 1, int tl = 0, int tr = N - 1) {
    pushdown(n, tl, tr);

    if (ql <= tl && tr <= qr) {
        t[n] += v;
        lazy[n] += v;
    } else {
        int m = (tl + tr) / 2;

        if (ql <= m) {
            update(ql, qr, v, n * 2, tl, m);
        }

        if (qr > m) {
            update(ql, qr, v, n * 2 + 1, m + 1, tr);
        }

        t[n] = max(t[n * 2], t[n * 2 + 1]);
    }
}

int get(int ql, int qr, int n = 1, int tl = 0, int tr = N - 1) {
    pushdown(n, tl, tr);

    if (ql <= tl && tr <= qr)
        return t[n];
    else {
        int res = 0;

        int m = (tl + tr) / 2;

        if (ql <= m) {
            res = get(ql, qr, n * 2, tl, m);
        }

        if (qr > m) {
            res = max(res, get(ql, qr, n * 2 + 1, m + 1, tr));
        }

        return res;
    }
}

long long getFinal(int n = 1, int tl = 0, int tr = N - 1) {
    pushdown(n, tl, tr);

    if (tl == tr)
        return t[n] * (long long)(t[n] - 1) / 2;
    else {
        int m = (tl + tr) / 2;
        return getFinal(n * 2, tl, m) + getFinal(n * 2 + 1, m + 1, tr);
    }
}

// Returns first index such that t[i] < val
int getLastIdx(int val, int n = 1, int tl = 0, int tr = N - 1) {
    if (t[n] < val) return tl;
    if (tl == tr) return tr + 1;
    int m = (tl + tr) / 2;

    if (t[n * 2 + 1] >= val)
        return getLastIdx(val, n * 2 + 1, m + 1, tr);
    else
        return getLastIdx(val, n * 2, tl, m);
}

void printTree(int n) {
    cout << "TREE:\n ";
    FOR(i, n) { cout << get(i, i) << " "; }
    cout << endl;
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

#ifndef LOCAL_TEST
// freopen("sails.in", "r", stdin);
// freopen("sails.out", "w", stdout);
#endif

    cin >> n;

    FOR(i, n) { cin >> masts[i].first >> masts[i].second; }

    sort(masts, masts + n);

    #ifdef LOCAL_TEST
    multiset<int> testSet;
    int highest = 0;
    #endif

    FOR(i, n) {
        int height = masts[i].first;
        int cnt = masts[i].second;

        int endVal = get(height - cnt, height - cnt);

        int lowestPlace = getLastIdx(endVal + 1);
        int normalFill = getLastIdx(endVal);

        normalFill = min(normalFill, height);

        int rem = cnt;
        if (normalFill < height) {
            update(normalFill, height - 1, 1);
            rem -= (height - normalFill);
        }

        if (rem > 0) {
            update(lowestPlace, lowestPlace + rem - 1, 1);
        }

#ifdef LOCAL_TEST
        cout << "\n\n" << height << " " << cnt << endl;

        int diff = height - highest;
        int ones = min(cnt, diff);
        highest += ones;

        //printTree(highest);
        multiset<int> newVals;

        for (int j = 0; j < cnt - ones; j++) {
            int x = *(testSet.begin());
            testSet.erase(testSet.begin());

            newVals.insert(x+1);
        }

        for (int x: newVals) {
            testSet.insert(x);
        }

        for (int j = 0; j < ones; j++) {
            testSet.insert(1);
        }

        //cout << "ACTUAL:" << endl;
        int idx = 0;
        auto it = testSet.rbegin();
        while (it != testSet.rend()) {
            //cout << " " << *it;
            if (get(idx, idx) != *it) {
                cout << "ERROR at " << idx << endl;
            }
            it++;
            idx++;
        }
        //cout << endl;
#endif
    }

    cout << getFinal() << endl;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 340 KB Output is correct
2 Correct 10 ms 460 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 464 KB Output is correct
2 Correct 10 ms 340 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 452 KB Output is correct
2 Correct 13 ms 468 KB Output is correct

Subtask #4
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 10 ms 468 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 29 ms 28652 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 35 ms 33284 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 51 ms 33852 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 53 ms 34396 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 71 ms 35096 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 69 ms 35584 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #11
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 77 ms 35784 KB Output isn't correct
2 Halted 0 ms 0 KB -