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Submission #918031

# Submission time Handle Problem Language Result Execution time Memory
918031 2024-01-29T12:36:21 Z borisAngelov Divide and conquer (IZhO14_divide) C++17
0 / 100
 1 ms 348 KB 
#include <bits/stdc++.h>

using namespace std;

const int maxn = 100005;
const long long inf = (1LL << 62);

int n;

struct Element
{
    int pos;
    int gold;
    int energy;
};

Element a[maxn];

long long prefEenrgy[maxn];

struct SegmentTree
{
    long long tree[maxn];
    long long lazy[maxn];

    void build(int node, int l, int r)
    {
        lazy[node] = 0;

        if (l == r)
        {
            tree[node] = prefEenrgy[l] - a[l].pos;
            return;
        }

        int mid = (l + r) / 2;

        build(2 * node, l, mid);
        build(2 * node + 1, mid + 1, r);

        tree[node] = max(tree[2 * node], tree[2 * node + 1]);
    }

    void pushLazy(int node, int l, int r)
    {
        tree[node] += lazy[node];

        if (l != r)
        {
            lazy[2 * node] += lazy[node];
            lazy[2 * node + 1] += lazy[node];
        }

        lazy[node] = 0;
    }

    void update(int node, int l, int r, int ql, int qr, long long delta)
    {
        pushLazy(node, l, r);

        if (l > qr || r < ql)
        {
            return;
        }

        if (ql <= l && r <= qr)
        {
            lazy[node] += delta;
            pushLazy(node, l, r);
            return;
        }

        int mid = (l + r) / 2;

        update(2 * node, l, mid, ql, qr, delta);
        update(2 * node + 1, mid + 1, r, ql, qr, delta);

        tree[node] = max(tree[2 * node], tree[2 * node + 1]);
    }

    long long query(int node, int l ,int r, int ql, int qr)
    {
        pushLazy(node, l, r);

        if (l > qr || r < ql)
        {
            return -inf;
        }

        if (ql <= l && r <= qr)
        {
            return tree[node];
        }

        int mid = (l + r) / 2;

        return max(query(2 * node, l, mid, ql, qr), query(2 * node + 1, mid + 1, r, ql, qr));
    }

    void build()
    {
        build(1, 1, n);
    }

    void update(int l, int r, long long delta)
    {
        update(1, 1, n, l, r, delta);
    }

    long long query(int l, int r)
    {
        return query(1, 1, n, l, r);
    }
};

SegmentTree tree;

bool check(long long targetGold)
{
    long long currentSum = 0;
    int ptr = 0;

    tree.build();

    //cout << "checking for " << targetGold << endl;

    for (int i = 1; i <= n; ++i)
    {
        if (a[i].gold >= targetGold)
        {
            return true;
        }

        while (ptr + 1 <= n && currentSum < targetGold)
        {
            currentSum += a[ptr + 1].gold;
            ++ptr;
        }

        //cout << i << " :: " << ptr << " " << currentSum << endl;

        if (currentSum >= targetGold)
        {
            //cout << "here " << tree.query(ptr, n) << endl;
            if (tree.query(ptr, n) >= 0)
            {
                return true;
            }
        }
        else
        {
            break;
        }

        currentSum -= a[i].gold;

        if (i + 1 <= n)
        {
            tree.update(i + 1, n, -(a[i + 1].pos - a[i].energy));
        }
    }

    return false;
}

void fastIO()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
}

int main()
{
    fastIO();

    cin >> n;

    for (int i = 1; i <= n; ++i)
    {
        cin >> a[i].pos >> a[i].gold >> a[i].energy;
        a[i].pos -= a[1].pos;
        prefEenrgy[i] = prefEenrgy[i - 1] + a[i].energy;
    }

    long long sum = 0;

    for (int i = 1; i <= n; ++i)
    {
        sum += a[i].gold;
    }

    long long l = 0;
    long long r = sum;

    while (l <= r)
    {
        long long mid = (l + r) / 2;

        if (check(mid) == true)
        {
            l = mid + 1;
        }
        else
        {
            r = mid - 1;
        }
    }

    cout << r << endl;

    return 0;
}

/*
4
0 5 1
1 7 2
4 4 1
7 15 1
*/

Subtask #1
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Incorrect 0 ms 348 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #2
0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Incorrect 0 ms 348 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #3
0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Incorrect 0 ms 348 KB Output isn't correct
3 Halted 0 ms 0 KB -