Submission #311564

# Submission time Handle Problem Language Result Execution time Memory
311564 2020-10-10T16:25:57 Z IgorI Comparing Plants (IOI20_plants) C++17
27 / 100
4000 ms 49400 KB
#include <bits/stdc++.h>

using namespace std;


const int N = 500000;
const int INF = 1e9;

int c;
int n;
int H[N];
int k;

pair<int, int> tree[4 * N];
int push[4 * N];

pair<int, int> Merge(pair<int, int> a, pair<int, int> b)
{
    return min(a, b);
}

void Push(int V)
{
    tree[2 * V + 1].first += push[V];
    tree[2 * V + 2].first += push[V];
    push[2 * V + 1] += push[V];
    push[2 * V + 2] += push[V];
    push[V] = 0;
}

void Build(int L, int R, int V, vector<int> &r)
{
    if (L + 1 == R)
    {
        tree[V] = {r[L], L};
        return;
    }
    int M = (L + R) / 2;
    Build(L, M, 2 * V + 1, r);
    Build(M, R, 2 * V + 2, r);
    tree[V] = Merge(tree[2 * V + 1], tree[2 * V + 2]);
}

pair<int, int> Get(int l, int r, int L = 0, int R = n, int V = 0)
{
    if (r <= L || R <= l) return {INF, 0};
    if (l <= L && R <= r) return tree[V];
    int M = (L + R) / 2;
    Push(V);
    return Merge(Get(l, r, L, M, 2 * V + 1), Get(l, r, M, R, 2 * V + 2));
}

void Add(int l, int r, int x, int L = 0, int R = n, int V = 0)
{
    if (r <= L || R <= l) return;
    if (l <= L && R <= r)
    {
        tree[V].first += x;
        push[V] += x;
        return;
    }
    int M = (L + R) / 2;
    Push(V);
    Add(l, r, x, L, M, 2 * V + 1);
    Add(l, r, x, M, R, 2 * V + 2);
    tree[V] = Merge(tree[2 * V + 1], tree[2 * V + 2]);
}

int CGet(int l, int r)
{
    if (l < 0)
    {
        l += n;
        pair<int, int> a = Get(l, n);
        pair<int, int> b = Get(0, r);
        if (a.first == 0) return a.second;
        if (b.first == 0) return b.second;
        return -1;
    }
    pair<int, int> a = Get(l, r);
    if (a.first == 0) return a.second;
    return -1;
}

void CAdd(int l, int r, int x)
{
    if (l < 0)
    {
        l += n;
        Add(l, n, x);
        Add(0, r, x);
    }
    else
    {
        Add(l, r, x);
    }
}

pair<int, int> tree2[4 * N];

void Build2(int L = 0, int R = n, int V = 0)
{
    tree2[V] = {INF, L};
    if (L + 1 == R) return;
    int M = (L + R) / 2;
    Build2(L, M, 2 * V + 1);
    Build2(M, R, 2 * V + 2);
}

void Set2(int pos, int x, int L = 0, int R = n, int V = 0)
{
    if (L + 1 == R)
    {
        tree2[V] = {x, L};
        return;
    }
    int M = (L + R) / 2;
    if (pos < M) Set2(pos, x, L, M, 2 * V + 1);
    else Set2(pos, x, M, R, 2 * V + 2);
    tree2[V] = min(tree2[2 * V + 1], tree2[2 * V + 2]);
}

pair<int, int> Get2(int l, int r, int L = 0, int R = n, int V = 0)
{
    if (r <= L || R <= l) return {INF, 0};
    if (l <= L && R <= r) return tree2[V];
    int M = (L + R) / 2;
    return min(Get2(l, r, L, M, 2 * V + 1), Get2(l, r, M, R, 2 * V + 2));
}

int up_left[N], up_right[N];

int CGet2(int l, int r)
{
    if (l < 0 || r > n)
    {
        if (l < 0) l += n;
        if (r > n) r -= n;
        pair<int, int> a = Get2(l, n);
        pair<int, int> b = Get2(0, r);
        if (a.first < INF) return a.second;
        if (b.first < INF) return b.second;
        return -1;
    }
    pair<int, int> a = Get2(l, r);
    if (a.first < INF) return a.second;
    return -1;
}

void call(int i, int k, vector<int> &r, vector<int> &h1)
{
    int id = CGet(i - k + 1, i);
    while (id != -1)
    {
        call(id, k, r, h1);
        id = CGet(i - k + 1, i);
    }
    up_right[i] = CGet2(i + 1, i + k);
    up_left[i] = CGet2(i - k + 1, i);
    h1[i] = c--;
    Set2(i, h1[i]);
    CAdd(i - k + 1, i, -1);
    CAdd(i, i + 1, INF);
}

const int LG = 20;

int le[LG][N], ri[LG][N];

void init(int K, vector<int> r)
{
    k = K;
    n = r.size();
    vector<int> h1(n);
    c = n;

    Build(0, n, 0, r);
    Build2();

    int id = CGet(0, n);
    while (id != -1)
    {
        call(id, k, r, h1);
        id = CGet(0, n);
    }
    for (int i = 0; i < n; i++)
    {
        H[i] = h1[i];
    }
    #ifdef LOCAL
    for (int i = 0; i < n; i++)
    {
        cout << H[i] << " ";
    }
    cout << endl;
    #endif // LOCAL
    for (int i = 0; i < n; i++)
    {
        if (up_left[i] != -1)
        {
            le[0][i] = i - up_left[i];
            if (le[0][i] < 0) le[0][i] += n;
        } else le[0][i] = INF;
        if (up_right[i] != -1)
        {
            ri[0][i] = up_right[i] - i;
            if (ri[0][i] < 0) ri[0][i] += n;
        } else ri[0][i] = INF;

        assert(le[0][i] < k || le[0][i] == INF);
        assert(ri[0][i] < k || ri[0][i] == INF);
    }
    for (int j = 1; j < LG; j++)
    {
        for (int i = 0; i < n; i++)
        {
            if (le[j - 1][i] < INF)
                le[j][i] = min(le[j - 1][i] + le[j - 1][((i - le[j - 1][i]) % n + n) % n], INF);
            else
                le[j][i] = INF;
            if (ri[j - 1][i] < INF)
                ri[j][i] = min(ri[j - 1][i] + ri[j - 1][(i + ri[j - 1][i]) % n], INF);
            else
                ri[j][i] = INF;
        }
    }
}

int Dist(int x, int y)
{
    if (x < y) return min(y - x, n - y + x);
    return min(x - y, n - x + y);
}

int compare_plants(int x, int y)
{
    if (Dist(x, y) < k)
    {
        if (H[x] <= H[y]) return -1;
        return 1;
    }
    int d, dist;
    d = x;
    dist = y - x;
    for (int j = 0; j >= 0; )
    {
        if (ri[j][d] <= dist)
        {
            dist -= ri[j][d];
            d += ri[j][d];
            d = (d % n + n) % n;
        }
        else break;
    }
    assert(dist >= Dist(d, y));

    if (Dist(d, y) < k && H[d] <= H[y]) return -1;

    if (Dist(d, y) >= k)
    {
        assert(ri[0][d] > dist);
    }

    d = x;
    dist = x - y + n;
    for (int j = 0; j >= 0; )
    {
        if (le[j][d] <= dist)
        {
            dist -= le[j][d];
            d -= le[j][d];
            d = (d % n + n) % n;
        }
        else break;
    }
    assert(dist >= Dist(d, y));

    if (Dist(d, y) < k && H[d] <= H[y]) return -1;

    if (Dist(d, y) >= k)
    {
        assert(le[0][d] > dist);
    }

    swap(x, y);
    d = x;
    dist = y - x + n;
    for (int j = 0; j >= 0;)
    {
        if (ri[j][d] <= dist)
        {
            dist -= ri[j][d];
            d += ri[j][d];
            d = (d % n + n) % n;
        }
        else break;
    }

    assert(dist >= Dist(d, y));

    if (Dist(d, y) < k && H[d] <= H[y]) return 1;

    if (Dist(d, y) >= k)
    {
        assert(ri[0][d] > dist);
    }

    d = x;
    dist = x - y;
    for (int j = 0; j >= 0;)
    {
        if (le[j][d] <= dist)
        {
            dist -= le[j][d];
            d -= le[j][d];
            d = (d % n + n) % n;
        }
        else break;
    }
    assert(dist >= Dist(d, y));

    if (Dist(d, y) < k && H[d] <= H[y]) return 1;

    if (Dist(d, y) >= k)
    {
        assert(le[0][d] > dist);
    }

    return 0;
}

#ifdef LOCAL
int main()
{
    int n, k, q;
    cin >> n >> k >> q;
    vector<int> r(n);
    for (int i = 0; i < n; i++) cin >> r[i];
    init(k, r);
    while (q--)
    {
        int x, y;
        cin >> x >> y;
        cout << compare_plants(x, y) << endl;
    }
}
#endif
# Verdict Execution time Memory Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 640 KB Output is correct
3 Correct 1 ms 640 KB Output is correct
4 Correct 1 ms 640 KB Output is correct
5 Correct 1 ms 640 KB Output is correct
6 Correct 71 ms 3448 KB Output is correct
7 Correct 519 ms 8540 KB Output is correct
8 Correct 571 ms 49272 KB Output is correct
9 Correct 936 ms 49200 KB Output is correct
10 Correct 3984 ms 49272 KB Output is correct
11 Execution timed out 4041 ms 49272 KB Time limit exceeded
12 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 640 KB Output is correct
3 Correct 1 ms 640 KB Output is correct
4 Correct 1 ms 640 KB Output is correct
5 Correct 1 ms 640 KB Output is correct
6 Correct 5 ms 896 KB Output is correct
7 Correct 89 ms 4728 KB Output is correct
8 Correct 2 ms 768 KB Output is correct
9 Correct 5 ms 896 KB Output is correct
10 Correct 88 ms 4728 KB Output is correct
11 Correct 83 ms 4600 KB Output is correct
12 Correct 86 ms 4856 KB Output is correct
13 Correct 87 ms 4728 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 640 KB Output is correct
3 Correct 1 ms 640 KB Output is correct
4 Correct 1 ms 640 KB Output is correct
5 Correct 1 ms 640 KB Output is correct
6 Correct 5 ms 896 KB Output is correct
7 Correct 89 ms 4728 KB Output is correct
8 Correct 2 ms 768 KB Output is correct
9 Correct 5 ms 896 KB Output is correct
10 Correct 88 ms 4728 KB Output is correct
11 Correct 83 ms 4600 KB Output is correct
12 Correct 86 ms 4856 KB Output is correct
13 Correct 87 ms 4728 KB Output is correct
14 Correct 151 ms 8376 KB Output is correct
15 Correct 1196 ms 49228 KB Output is correct
16 Correct 155 ms 8416 KB Output is correct
17 Correct 1200 ms 49204 KB Output is correct
18 Correct 777 ms 49300 KB Output is correct
19 Correct 766 ms 49400 KB Output is correct
20 Correct 1036 ms 49272 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 640 KB Output is correct
3 Incorrect 1061 ms 3916 KB Output isn't correct
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 640 KB Output is correct
3 Correct 1 ms 640 KB Output is correct
4 Correct 1 ms 640 KB Output is correct
5 Incorrect 1 ms 640 KB Output isn't correct
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 640 KB Output is correct
3 Correct 1 ms 640 KB Output is correct
4 Correct 1 ms 640 KB Output is correct
5 Incorrect 4 ms 896 KB Output isn't correct
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 640 KB Output is correct
3 Correct 1 ms 640 KB Output is correct
4 Correct 1 ms 640 KB Output is correct
5 Correct 1 ms 640 KB Output is correct
6 Correct 71 ms 3448 KB Output is correct
7 Correct 519 ms 8540 KB Output is correct
8 Correct 571 ms 49272 KB Output is correct
9 Correct 936 ms 49200 KB Output is correct
10 Correct 3984 ms 49272 KB Output is correct
11 Execution timed out 4041 ms 49272 KB Time limit exceeded
12 Halted 0 ms 0 KB -