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import java.io.BufferedReader; | ||
import java.io.IOException; | ||
import java.io.InputStreamReader; | ||
import java.util.LinkedList; | ||
import java.util.List; | ||
import java.util.StringTokenizer; | ||
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public class Solution_d5_1248 { | ||
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static int v; | ||
static List<Integer>[] adj; | ||
static int[][] sTable; | ||
static int[] depth; | ||
static int[] subTree; | ||
static int k; | ||
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public static void main(String[] args) throws IOException { | ||
BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); | ||
int tc = Integer.parseInt(br.readLine()); | ||
StringBuilder sb = new StringBuilder(); | ||
for (int t = 1; t <= tc; t++) { | ||
StringTokenizer st = new StringTokenizer(br.readLine()); | ||
v = Integer.parseInt(st.nextToken()); | ||
k = 32 - Integer.numberOfLeadingZeros(v); | ||
int e = Integer.parseInt(st.nextToken()); | ||
int v1 = Integer.parseInt(st.nextToken()); | ||
int v2 = Integer.parseInt(st.nextToken()); | ||
setGraph(br.readLine(), e); | ||
setParent(); | ||
setSTable(); | ||
setSubTree(); | ||
int lca = lca(v1, v2); | ||
sb.append("#" + t + " " + lca + " " + subTree[lca] + "\n"); | ||
} | ||
System.out.println(sb); | ||
} | ||
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private static void setGraph(String readLine, int e) { | ||
StringTokenizer st = new StringTokenizer(readLine); | ||
adj = new List[v + 1]; | ||
for (int i = 1; i <= v; i++) { | ||
adj[i] = new LinkedList<>(); | ||
} | ||
for (int i = 0; i < e; i++) { | ||
int v1 = Integer.parseInt(st.nextToken()); | ||
int v2 = Integer.parseInt(st.nextToken()); | ||
adj[v1].add(v2); | ||
adj[v2].add(v1); | ||
} | ||
} | ||
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private static void setParent() { | ||
sTable = new int[v + 1][k]; | ||
depth = new int[v + 1]; | ||
sTable[1][0] = 1; | ||
setParent(1); | ||
} | ||
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private static void setParent(int root) { | ||
for (int child : adj[root]) { | ||
if (sTable[child][0] > 0) continue; | ||
sTable[child][0] = root; | ||
depth[child] = depth[root] + 1; | ||
setParent(child); | ||
} | ||
} | ||
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private static void setSTable() { | ||
for (int d = 1; d < k; d++) { | ||
for (int i = 1; i <= v; i++) { | ||
sTable[i][d] = sTable[sTable[i][d - 1]][d - 1]; | ||
} | ||
} | ||
} | ||
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private static void setSubTree() { | ||
subTree = new int[v + 1]; | ||
setSubTree(1); | ||
} | ||
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private static int setSubTree(int root) { | ||
if (subTree[root] != 0) return subTree[root]; | ||
subTree[root] = 1; | ||
for (int child : adj[root]) { | ||
if (sTable[child][0] != root) continue; | ||
subTree[root] += setSubTree(child); | ||
} | ||
return subTree[root]; | ||
} | ||
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private static int lca(int v1, int v2) { | ||
// v1이 더 깊은쪽이 되도록 변환 | ||
if (depth[v1] < depth[v2]) { | ||
int temp = v1; | ||
v1 = v2; | ||
v2 = temp; | ||
} | ||
// v1, v2 depth 맞추기 | ||
for (int i = k - 1; i >= 0; i--) { | ||
if (depth[v1] - depth[v2] >= (1 << i)) { | ||
v1 = sTable[v1][i]; | ||
} | ||
} | ||
// 같아지면 같아진값 반환 | ||
if (v1 == v2) return v1; | ||
// 공통 조상 찾기 : 가장 위쪽의 서로 다른 조상 | ||
for (int i = k - 1; i >= 0; i--) { | ||
if (sTable[v1][i] != sTable[v2][i]) { | ||
v1 = sTable[v1][i]; | ||
v2 = sTable[v2][i]; | ||
} | ||
} | ||
return sTable[v1][0]; | ||
} | ||
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} |