結果

問題 No.399 動的な領主
ユーザー akakimidoriakakimidori
提出日時 2019-07-09 18:59:29
言語 C
(gcc 12.3.0)
結果
AC  
実行時間 83 ms / 2,000 ms
コード長 5,003 bytes
コンパイル時間 500 ms
コンパイル使用メモリ 34,176 KB
実行使用メモリ 11,232 KB
最終ジャッジ日時 2024-10-12 12:24:17
合計ジャッジ時間 3,314 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
6,820 KB
testcase_01 AC 1 ms
6,816 KB
testcase_02 AC 1 ms
6,820 KB
testcase_03 AC 1 ms
6,820 KB
testcase_04 AC 1 ms
6,816 KB
testcase_05 AC 7 ms
6,820 KB
testcase_06 AC 83 ms
9,236 KB
testcase_07 AC 79 ms
9,360 KB
testcase_08 AC 81 ms
9,364 KB
testcase_09 AC 80 ms
9,364 KB
testcase_10 AC 1 ms
6,820 KB
testcase_11 AC 7 ms
6,820 KB
testcase_12 AC 75 ms
9,364 KB
testcase_13 AC 74 ms
9,492 KB
testcase_14 AC 47 ms
11,232 KB
testcase_15 AC 51 ms
10,132 KB
testcase_16 AC 57 ms
10,516 KB
testcase_17 AC 78 ms
9,360 KB
testcase_18 AC 77 ms
9,364 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include<stdio.h>
#include<stdlib.h>
#include<stdint.h>
#include<inttypes.h>
#include<string.h>
#include<math.h>

typedef int32_t i32;
typedef int64_t i64;

#define MAX(a,b) ((a)>(b)?(a):(b))
#define MIN(a,b) ((a)<(b)?(a):(b))
#define ABS(a) ((a)>(0)?(a):-(a))
#define ALLOC(size,type) ((type*)calloc((size),sizeof(type)))
#define SORT(a,num,cmp) qsort((a),(num),sizeof(*(a)),cmp)

typedef struct directed_edge {
  int32_t vertex;
  int32_t next;
} graph_edge;

typedef struct directedGraph {
  graph_edge *edge;
  int32_t *start;
  int32_t pointer;
  int32_t vertex_num;
  int32_t edge_max_size;
} graph;

graph* new_graph (const int vertex_num) {
  graph *g = (graph *) calloc (1, sizeof (graph));
  g->edge = (graph_edge *) calloc (1, sizeof (graph_edge));
  g->start = (int32_t *) calloc (vertex_num, sizeof (int32_t));
  g->pointer = 0;
  g->vertex_num = vertex_num;
  g->edge_max_size = 1;
  for (int32_t i = 0; i < vertex_num; ++i) {
    g->start[i] = -1;
  }
  return g;
}

void free_graph (graph *g) {
  free (g->edge);
  free (g->start);
  free (g);
  return;
}

void clear_graph (graph *g) {
  g->pointer = 0;
  for (int32_t i = 0; i < g->vertex_num; ++i) {
    g->start[i] = -1;
  }
}

void add_edge (graph *g, int32_t from, int32_t to) {
  if (g->pointer == g->edge_max_size) {
    g->edge_max_size *= 2;
    g->edge = (graph_edge *) realloc (g->edge, sizeof (graph_edge) * g->edge_max_size);
  }
  g->edge[g->pointer] = (graph_edge) {to, g->start[from]};
  g->start[from] = g->pointer++;
}

void BFS_graph (graph *g, int32_t src, i32 *q, i32 *parent) {
  uint8_t *used = (uint8_t *) calloc (g->vertex_num, sizeof (uint8_t));
  int32_t front = 0;
  int32_t last = 0;
  used[src] = 1;
  q[last++] = src;
  while (front < last) {
    const int32_t v = q[front++];
    for (int32_t p = g->start[v]; p != -1; p = g->edge[p].next) {
      const int32_t u = g->edge[p].vertex;
      if (!used[u]) {
        used[u] = 1;
        q[last++] = u;
        parent[u] = v;
      }
    }
  }
  free(used);
}

typedef struct LCA_node {
  i32 vertex;
  i32 depth;
} LCA_node;

static inline LCA_node min_lca_node (LCA_node a, LCA_node b) {
  return a.depth < b.depth ? a : b;
}

typedef struct lowest_common_ancestor {
  i32 *min_index;
  i32 *max_index;
  LCA_node *seg;
  i32 size;
} LCA;

LCA* build_LCA (const graph *g, const i32 root) {
  LCA *res = (LCA *) calloc (1, sizeof (LCA));
  const i32 n = g->vertex_num;
  i32 *min_index = (i32 *) calloc (2 * n, sizeof (i32));
  i32 *max_index = min_index + n;
  res->min_index = min_index;
  res->max_index = max_index;
  i32 size = 1;
  while (size < 2 * n - 1) size *= 2;
  res->size = size;
  res->seg = (LCA_node *) calloc (2 * size, sizeof (LCA_node));
  LCA_node *a = res->seg + size;
  uint8_t *used = (uint8_t *) calloc (n, sizeof (uint8_t));
  typedef struct operation {
    i32 t, v, d;
  } op;
  op *stack = (op *) calloc (2 * n, sizeof (op));
  i32 top = 0;
  stack[top++] = (op) {0, root, 0};
  i32 k = 0;
  while (top > 0) {
    op t = stack[--top];
    if (t.t) {
      max_index[t.v] = k;
      a[k++] = (LCA_node) {t.v, t.d};
      continue;
    }
    used[t.v] = 1;
    min_index[t.v] = max_index[t.v] = k;
    a[k++] = (LCA_node) {t.v, t.d};
    for (i32 p = g->start[t.v]; p != -1; p = g->edge[p].next) {
      i32 u = g->edge[p].vertex;
      if (used[u]) continue;
      stack[top++] = (op) {1, t.v, t.d};
      stack[top++] = (op) {0, u, t.d + 1};
    }
  }
  for (i32 i = size - 1; i >= 1; --i) {
    res->seg[i] = min_lca_node (res->seg[2 * i], res->seg[2 * i + 1]);
  }
  free (used);
  free (stack);
  return res;
}

void free_LCA (LCA *s) {
  free (s->min_index);
  free (s->seg);
  free (s);
}

LCA_node query (LCA *s, i32 a, i32 b) {
  i32 l = s->min_index[a] < s->min_index[b] ? s->min_index[a] : s->min_index[b];
  i32 r = (s->max_index[a] > s->max_index[b] ? s->max_index[a] : s->max_index[b]) + 1;
  LCA_node res = {-1, s->size};
  for (l += s->size, r += s->size; l < r; l >>= 1, r >>= 1) {
    if (l & 1) res = min_lca_node (res, s->seg[l++]);
    if (r & 1) res = min_lca_node (res, s->seg[--r]);
  }
  return res;
}

void run (void) {
  i32 n;
  scanf ("%" SCNi32, &n);
  graph *g = new_graph (n);
  for (i32 i = 1; i < n; ++i) {
    i32 a, b;
    scanf ("%" SCNi32 "%" SCNi32, &a, &b);
    a--; b--;
    add_edge (g, a, b);
    add_edge (g, b, a);
  }
  i32 *q = ALLOC (2 * n, i32);
  i32 *parent = q + n;
  BFS_graph (g, 0, q, parent);
  LCA *lca = build_LCA (g, 0);
  i32 t;
  scanf ("%" SCNi32, &t);
  i32 *dp = ALLOC (n, i32);
  while (t--) {
    i32 a, b;
    scanf ("%" SCNi32 "%" SCNi32, &a, &b);
    a--; b--;
    i32 p = query (lca, a, b) . vertex;
    dp[a] += 1;
    dp[b] += 1;
    dp[p] -= 1;
    if (p != 0) {
      dp[parent[p]] -= 1;
    }
  }
  for (i32 i = n - 1; i > 0; --i) {
    i32 v = q[i];
    dp[parent[v]] += dp[v];
  }
  i64 ans = 0;
  for (i32 i = 0; i < n; ++i) {
    ans += (i64) dp[i] * (dp[i] + 1) / 2;
  }
  printf ("%" PRIi64 "\n", ans);
}

int main (void) {
  run();
  return 0;
}
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