Submission #311560

# Submission time Handle Problem Language Result Execution time Memory
311560 2020-10-10T16:16:36 Z IgorI Comparing Plants (IOI20_plants) C++17
27 / 100
1222 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];
    }
    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;
    }
    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;
    }
    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 = x - y;
    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;
    }
    if (Dist(d, y) < k && H[d] <= H[y]) return 1;

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

    d = x;
    dist = y - x + 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;
    }
    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 672 KB Output is correct
6 Correct 74 ms 3448 KB Output is correct
7 Incorrect 548 ms 8412 KB Output isn't correct
8 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 87 ms 4728 KB Output is correct
8 Correct 4 ms 768 KB Output is correct
9 Correct 6 ms 1024 KB Output is correct
10 Correct 86 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 86 ms 4860 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 87 ms 4728 KB Output is correct
8 Correct 4 ms 768 KB Output is correct
9 Correct 6 ms 1024 KB Output is correct
10 Correct 86 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 86 ms 4860 KB Output is correct
14 Correct 150 ms 8412 KB Output is correct
15 Correct 1222 ms 49272 KB Output is correct
16 Correct 157 ms 8412 KB Output is correct
17 Correct 1183 ms 49212 KB Output is correct
18 Correct 766 ms 49400 KB Output is correct
19 Correct 762 ms 49272 KB Output is correct
20 Correct 1048 ms 49276 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 1150 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 3 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 672 KB Output is correct
6 Correct 74 ms 3448 KB Output is correct
7 Incorrect 548 ms 8412 KB Output isn't correct
8 Halted 0 ms 0 KB -