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Submission #918043

# Submission time Handle Problem Language Result Execution time Memory
918043 2024-01-29T12:47:33 Z borisAngelov Divide and conquer (IZhO14_divide) C++17
48 / 100
 264 ms 7644 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];
long long prefGold[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)
{
    tree.build();

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

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

        int l = i + 1;
        int r = n;

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

            if (prefGold[mid] - prefGold[i - 1] >= targetGold)
            {
                r = mid - 1;
            }
            else
            {
                l = mid + 1;
            }
        }

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

        int pos = l;

        if (pos > n)
        {
            break;
        }

        if (tree.query(pos, n) >= 0)
        {
            return true;
        }

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

    for (int i = 2; i <= n; ++i)
    {
        a[i].pos -= a[1].pos;
    }

    a[1].pos = 0;

    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

4
1 5 1
2 7 2
5 4 1
8 15 1

2
2 4 1
5 5 1
*/

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct

Subtask #2
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 2 ms 2396 KB Output is correct
16 Correct 2 ms 2396 KB Output is correct
17 Correct 4 ms 2392 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 4 ms 2396 KB Output is correct
22 Correct 10 ms 2604 KB Output is correct
23 Correct 33 ms 3076 KB Output is correct
24 Correct 33 ms 2652 KB Output is correct

Subtask #3
0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 2 ms 2396 KB Output is correct
16 Correct 2 ms 2396 KB Output is correct
17 Correct 4 ms 2392 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 4 ms 2396 KB Output is correct
22 Correct 10 ms 2604 KB Output is correct
23 Correct 33 ms 3076 KB Output is correct
24 Correct 33 ms 2652 KB Output is correct
25 Correct 2 ms 2648 KB Output is correct
26 Correct 3 ms 2908 KB Output is correct
27 Correct 3 ms 2908 KB Output is correct
28 Correct 18 ms 4464 KB Output is correct
29 Correct 22 ms 5736 KB Output is correct
30 Correct 43 ms 7644 KB Output is correct
31 Correct 28 ms 6492 KB Output is correct
32 Correct 30 ms 6480 KB Output is correct
33 Correct 29 ms 6228 KB Output is correct
34 Incorrect 264 ms 6288 KB Output isn't correct
35 Halted 0 ms 0 KB -