Submission #723112

# Submission time Handle Problem Language Result Execution time Memory
723112 2023-04-13T08:50:03 Z finn__ Golf (JOI17_golf) C++17
30 / 100
3390 ms 1048576 KB
#include <stdio.h>
#include <stdlib.h>
#include <memory.h>
#include <stdint.h>
#include <stdbool.h>

#define N 100009
#define X (1LL << 30)
typedef long long L;

/* Range Set Point Query Segment Tree */

typedef struct Node Node;
struct Node
{
    Node *l, *r;
    L x, z;
};

void propagate(Node *node)
{
    if (!node->l)
    {
        node->l = (Node *)calloc(1, sizeof *node->l);
        node->l->x = -X, node->l->z = 0;
    }
    if (!node->r)
    {
        node->r = (Node *)calloc(1, sizeof *node->r);
        node->r->x = -X, node->r->z = 0;
    }
    if (node->z)
    {
        node->l->x = node->z;
        node->l->z = node->z;
        node->r->x = node->z;
        node->r->z = node->z;
        node->z = 0;
    }
}

void set(Node *node, L i, L j, L x, L a, L b)
{
    if (b < i || a > j)
        return;
    if (i <= a && b <= j)
        node->x = x, node->z = x;
    else
    {
        propagate(node);
        set(node->l, i, j, x, a, (a + b) / 2);
        set(node->r, i, j, x, (a + b) / 2 + 1, b);
    }
}

L query(Node *node, L i, L a, L b)
{
    if (a == b)
        return node->x;
    if (node->z)
        return node->z;
    if (i <= (a + b) / 2)
        return node->l ? query(node->l, i, a, (a + b) / 2) : -(X - 1);
    else
        return node->r ? query(node->r, i, (a + b) / 2 + 1, b) : -(X - 1);
}

void reset(Node *node)
{
    if (node->l)
        reset(node->l), free(node->l), node->l = 0;
    if (node->r)
        reset(node->r), free(node->r), node->r = 0;
}

/* Segment Tree for managing intervals */

typedef struct NodeY NodeY;
struct NodeY
{
    NodeY *l, *r;
    size_t x; /* interval count in internal nodes, index in leaf nodes */
};

bool insertIntervalY(NodeY *node, L k, size_t x, L a, L b)
{
    if (a == b)
    {
        if (node->x)
            return 0;
        node->x = x + 1; /* + 1, since 0 signifies there is no interval */
        return 1;
    }
    else
    {
        if (k <= (a + b) / 2)
        {
            if (!node->l)
                node->l = (NodeY *)calloc(1, sizeof *node->l);
            bool inserted = insertIntervalY(node->l, k, x, a, (a + b) / 2);
            node->x += inserted;
            return inserted;
        }
        else
        {
            if (!node->r)
                node->r = (NodeY *)calloc(1, sizeof *node->r);
            bool inserted = insertIntervalY(node->r, k, x, (a + b) / 2 + 1, b);
            node->x += inserted;
            return inserted;
        }
    }
}

size_t getNextIntervalY(NodeY *node, L i, L j, L a, L b)
{
    if (b < i || a > j)
        return SIZE_MAX;
    if (i <= a && b <= j)
    {
        if (!node->x)
            return SIZE_MAX;
        while (node->l || node->r)
            node = (node->l && node->l->x) ? node->l : node->r;
        return node->x - 1;
    }
    else
    {
        size_t x = SIZE_MAX;
        if (node->l)
            x = getNextIntervalY(node->l, i, j, a, (a + b) / 2);
        if (x == SIZE_MAX && node->r)
            x = getNextIntervalY(node->r, i, j, (a + b) / 2 + 1, b);
        return x;
    }
}

void removeIntervalY(NodeY *node, L k, L a, L b)
{
    if (a == b)
        node->x = 0;
    else
    {
        --node->x;
        if (k <= (a + b) / 2)
            removeIntervalY(node->l, k, a, (a + b) / 2);
        else
            removeIntervalY(node->r, k, (a + b) / 2 + 1, b);
    }
}

typedef struct NodeX NodeX;
struct NodeX
{
    NodeX *l, *r;
    NodeY *y;
};

void insertIntervalX(NodeX *node, L i, L j, L k, size_t x, L a, L b)
{
    if (b < i || a > j)
        return;
    if (i <= a && b <= j)
    {
        if (!node->y)
            node->y = (NodeY *)calloc(1, sizeof *node->y);
        insertIntervalY(node->y, k, x, 0, X - 1);
    }
    else
    {
        if (!node->l)
            node->l = (NodeX *)calloc(1, sizeof *node->l);
        if (!node->r)
            node->r = (NodeX *)calloc(1, sizeof *node->r);
        insertIntervalX(node->l, i, j, k, x, a, (a + b) / 2);
        insertIntervalX(node->r, i, j, k, x, (a + b) / 2 + 1, b);
    }
}

size_t getNextIntervalX(NodeX *node, L i, L j, L k, L a, L b)
{
    size_t x = node->y ? getNextIntervalY(node->y, i, j, 0, X - 1) : SIZE_MAX;
    if (x != SIZE_MAX || a == b)
        return x;
    if (k <= (a + b) / 2)
        return node->l ? getNextIntervalX(node->l, i, j, k, a, (a + b) / 2) : SIZE_MAX;
    return node->r ? getNextIntervalX(node->r, i, j, k, (a + b) / 2 + 1, b) : SIZE_MAX;
}

void removeIntervalX(NodeX *node, L i, L j, L k, L a, L b)
{
    if (b < i || a > j)
        return;
    if (i <= a && b <= j)
        removeIntervalY(node->y, k, 0, X - 1);
    else
    {
        removeIntervalX(node->l, i, j, k, a, (a + b) / 2);
        removeIntervalX(node->r, i, j, k, (a + b) / 2 + 1, b);
    }
}

size_t min(size_t x, size_t y) { return x < y ? x : y; }
L max(L x, L y) { return x > y ? x : y; }

int cmp0(void const *a, void const *b) { return *(L *)a - *(L *)b; }
int cmp1(void const *a, void const *b) { return *((L *)a + 1) - *((L *)b + 1); }
int cmp2(void const *a, void const *b) { return *((L *)a + 2) - *((L *)b + 2); }
int cmp3(void const *a, void const *b) { return *((L *)a + 3) - *((L *)b + 3); }
int cmp4(void const *a, void const *b) { return *((L *)a + 4) - *((L *)b + 4); }

L r[N][5], s[N][4], t[4 * N][2];
size_t queue[4 * N], distance[4 * N];
Node root;
NodeX horizontal, vertical;

int main()
{
    L S, T, U, V;
    size_t n;
    scanf("%lld %lld %lld %lld %zu", &S, &T, &U, &V, &n);
    for (size_t i = 0; i < n; i++)
    {
        scanf("%lld %lld %lld %lld", r[i], r[i] + 1, r[i] + 2, r[i] + 3);
        s[i][0] = r[i][0];
        s[i][1] = r[i][1];
        s[i][2] = r[i][2];
        s[i][3] = r[i][3];
        r[i][4] = i;
    }

    /* Start and end point are rectangles with 0 area */

    r[n][0] = r[n][1] = s[n][0] = s[n][1] = S;
    r[n][2] = r[n][3] = s[n][2] = s[n][3] = T;
    r[n][4] = n;
    ++n;
    r[n][0] = r[n][1] = s[n][0] = s[n][1] = U;
    r[n][2] = r[n][3] = s[n][2] = s[n][3] = V;
    r[n][4] = n;
    ++n;

    /* Sweep x ascending */

    qsort(r, n, sizeof *r, cmp0);
    qsort(s, n, sizeof *s, cmp1);
    root.x = root.z = -(X - 1);
    size_t i = 0, j = 0;

    while (i < n)
    {
        while (j < n && r[i][0] >= s[j][1])
        {
            if (s[j][2] + 1 <= s[j][3] - 1)
                set(&root, s[j][2] + 1, s[j][3] - 1, s[j][1], 0, X - 1);
            ++j;
        }
        t[4 * r[i][4]][0] = max(0, query(&root, r[i][2], 0, X - 1));
        t[4 * r[i][4] + 1][0] = max(0, query(&root, r[i][3], 0, X - 1));
        ++i;
    }

    /* Sweep x descending */

    for (size_t i = 0; i < n; i++)
        r[i][0] *= -1, r[i][1] *= -1, s[i][0] *= -1, s[i][1] *= -1;
    qsort(r, n, sizeof *r, cmp1);
    qsort(s, n, sizeof *s, cmp0);
    reset(&root);
    root.x = root.z = -(X - 1);
    i = j = 0;

    while (i < n)
    {
        while (j < n && r[i][1] >= s[j][0])
        {
            if (s[j][2] + 1 <= s[j][3] - 1)
                set(&root, s[j][2] + 1, s[j][3] - 1, s[j][0], 0, X - 1);
            ++j;
        }
        t[4 * r[i][4]][1] = -query(&root, r[i][2], 0, X - 1);
        t[4 * r[i][4] + 1][1] = -query(&root, r[i][3], 0, X - 1);
        ++i;
    }

    for (size_t i = 0; i < n; i++)
        r[i][0] *= -1, r[i][1] *= -1, s[i][0] *= -1, s[i][1] *= -1;

    /* Sweep y ascending */

    qsort(r, n, sizeof *r, cmp2);
    qsort(s, n, sizeof *s, cmp3);
    reset(&root);
    root.x = root.z = -(X - 1);
    i = j = 0;

    while (i < n)
    {
        while (j < n && r[i][2] >= s[j][3])
        {
            if (s[j][0] + 1 <= s[j][1] - 1)
                set(&root, s[j][0] + 1, s[j][1] - 1, s[j][3], 0, X - 1);
            ++j;
        }
        t[4 * r[i][4] + 2][0] = max(0, query(&root, r[i][0], 0, X - 1));
        t[4 * r[i][4] + 3][0] = max(0, query(&root, r[i][1], 0, X - 1));
        ++i;
    }

    /* Sweep y descending */

    for (size_t i = 0; i < n; i++)
        r[i][2] *= -1, r[i][3] *= -1, s[i][2] *= -1, s[i][3] *= -1;
    qsort(r, n, sizeof *r, cmp3);
    qsort(s, n, sizeof *s, cmp2);
    reset(&root);
    root.x = root.z = -(X - 1);
    i = j = 0;

    while (i < n)
    {
        while (j < n && r[i][3] >= s[j][2])
        {
            if (s[j][0] + 1 <= s[j][1] - 1)
                set(&root, s[j][0] + 1, s[j][1] - 1, s[j][2], 0, X - 1);
            ++j;
        }
        t[4 * r[i][4] + 2][1] = -query(&root, r[i][0], 0, X - 1);
        t[4 * r[i][4] + 3][1] = -query(&root, r[i][1], 0, X - 1);
        ++i;
    }

    for (size_t i = 0; i < n; i++)
        r[i][2] *= -1, r[i][3] *= -1, s[i][2] *= -1, s[i][3] *= -1;

    /* Be patient, the real algorithm starts now... */

    if ((S == U && t[4 * (n - 2) + 1][0] <= V && V <= t[4 * (n - 2) + 1][1]) ||
        (T == V && t[4 * (n - 2)][0] <= U && U <= t[4 * (n - 2)][1]))
    {
        printf("1\n");
        return 0;
    }

    qsort(r, n, sizeof *r, cmp4);

    insertIntervalX(&horizontal, t[4 * (n - 1)][0], t[4 * (n - 1)][1],
                    V, 4 * (n - 1), 0, X - 1);
    insertIntervalX(&vertical, t[4 * (n - 1) + 2][0], t[4 * (n - 1) + 2][1],
                    U, 4 * (n - 1) + 2, 0, X - 1);
    for (size_t i = 0; i < 4 * (n - 2); i++)
    {
        if ((i & 3) < 2)
            insertIntervalX(&horizontal, t[i][0], t[i][1], r[i >> 2][(i + 2) & 3], i, 0, X - 1);
        else
            insertIntervalX(&vertical, t[i][0], t[i][1], r[i >> 2][(i + 2) & 3], i, 0, X - 1);
    }

    i = j = 0;
    queue[j++] = 4 * (n - 2);
    queue[j++] = 4 * (n - 2) + 2;
    distance[4 * (n - 2)] = distance[4 * (n - 2) + 2] = 1;

    while (i < j)
    {
        size_t const u = queue[i++];
        size_t v = getNextIntervalX((u & 3) < 2 ? &vertical : &horizontal,
                                    t[u][0], t[u][1], r[u >> 2][(u + 2) & 3], 0, X - 1);
        while (v != SIZE_MAX)
        {
            distance[v] = distance[u] + 1;
            queue[j++] = v;
            removeIntervalX((v & 3) < 2 ? &horizontal : &vertical,
                            t[v][0], t[v][1], r[v >> 2][(v + 2) & 3], 0, X - 1);
            v = getNextIntervalX((u & 3) < 2 ? &vertical : &horizontal,
                                 t[u][0], t[u][1], r[u >> 2][(u + 2) & 3], 0, X - 1);
        }
    }

    printf("%zu\n", min(distance[4 * (n - 1)], distance[4 * (n - 1) + 2]));
}

Compilation message

golf.cpp: In function 'int main()':
golf.cpp:221:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  221 |     scanf("%lld %lld %lld %lld %zu", &S, &T, &U, &V, &n);
      |     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
golf.cpp:224:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  224 |         scanf("%lld %lld %lld %lld", r[i], r[i] + 1, r[i] + 2, r[i] + 3);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 4 ms 1316 KB Output is correct
5 Correct 27 ms 5228 KB Output is correct
6 Correct 25 ms 5236 KB Output is correct
7 Correct 24 ms 4784 KB Output is correct
8 Correct 25 ms 5104 KB Output is correct
9 Correct 27 ms 5256 KB Output is correct
10 Correct 28 ms 5168 KB Output is correct
11 Correct 29 ms 5232 KB Output is correct
12 Correct 29 ms 5092 KB Output is correct
13 Correct 26 ms 5044 KB Output is correct
14 Correct 26 ms 5052 KB Output is correct
15 Correct 7 ms 1492 KB Output is correct
16 Correct 14 ms 2644 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 4 ms 1316 KB Output is correct
5 Correct 27 ms 5228 KB Output is correct
6 Correct 25 ms 5236 KB Output is correct
7 Correct 24 ms 4784 KB Output is correct
8 Correct 25 ms 5104 KB Output is correct
9 Correct 27 ms 5256 KB Output is correct
10 Correct 28 ms 5168 KB Output is correct
11 Correct 29 ms 5232 KB Output is correct
12 Correct 29 ms 5092 KB Output is correct
13 Correct 26 ms 5044 KB Output is correct
14 Correct 26 ms 5052 KB Output is correct
15 Correct 7 ms 1492 KB Output is correct
16 Correct 14 ms 2644 KB Output is correct
17 Correct 154 ms 82156 KB Output is correct
18 Correct 151 ms 82776 KB Output is correct
19 Correct 160 ms 82124 KB Output is correct
20 Correct 153 ms 82272 KB Output is correct
21 Correct 160 ms 84520 KB Output is correct
22 Correct 153 ms 83984 KB Output is correct
23 Correct 158 ms 82908 KB Output is correct
24 Correct 158 ms 83148 KB Output is correct
25 Correct 155 ms 82036 KB Output is correct
26 Correct 156 ms 83020 KB Output is correct
27 Correct 23 ms 4044 KB Output is correct
28 Correct 42 ms 7192 KB Output is correct
29 Correct 42 ms 7312 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 4 ms 1316 KB Output is correct
5 Correct 27 ms 5228 KB Output is correct
6 Correct 25 ms 5236 KB Output is correct
7 Correct 24 ms 4784 KB Output is correct
8 Correct 25 ms 5104 KB Output is correct
9 Correct 27 ms 5256 KB Output is correct
10 Correct 28 ms 5168 KB Output is correct
11 Correct 29 ms 5232 KB Output is correct
12 Correct 29 ms 5092 KB Output is correct
13 Correct 26 ms 5044 KB Output is correct
14 Correct 26 ms 5052 KB Output is correct
15 Correct 7 ms 1492 KB Output is correct
16 Correct 14 ms 2644 KB Output is correct
17 Correct 154 ms 82156 KB Output is correct
18 Correct 151 ms 82776 KB Output is correct
19 Correct 160 ms 82124 KB Output is correct
20 Correct 153 ms 82272 KB Output is correct
21 Correct 160 ms 84520 KB Output is correct
22 Correct 153 ms 83984 KB Output is correct
23 Correct 158 ms 82908 KB Output is correct
24 Correct 158 ms 83148 KB Output is correct
25 Correct 155 ms 82036 KB Output is correct
26 Correct 156 ms 83020 KB Output is correct
27 Correct 23 ms 4044 KB Output is correct
28 Correct 42 ms 7192 KB Output is correct
29 Correct 42 ms 7312 KB Output is correct
30 Runtime error 3390 ms 1048576 KB Execution killed with signal 9
31 Halted 0 ms 0 KB -