結果
| 問題 |
No.1442 I-wate Shortest Path Problem
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2021-03-09 20:37:36 |
| 言語 | Kotlin (2.1.0) |
| 結果 |
AC
|
| 実行時間 | 2,699 ms / 3,000 ms |
| コード長 | 4,181 bytes |
| コンパイル時間 | 17,910 ms |
| コンパイル使用メモリ | 454,628 KB |
| 実行使用メモリ | 135,196 KB |
| 最終ジャッジ日時 | 2024-10-11 12:35:54 |
| 合計ジャッジ時間 | 61,636 ms |
|
ジャッジサーバーID (参考情報) |
judge3 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 25 |
コンパイルメッセージ
Main.kt:75:13: warning: name shadowed: a
var a = x
^
Main.kt:76:13: warning: name shadowed: b
var b = y
^
Main.kt:138:10: warning: name shadowed: x
for (x in ans) println(x)
^
ソースコード
import java.io.PrintWriter
import java.util.*
fun PrintWriter.solve() {
val n = nextInt()
val k = nextInt()
//Making Graph-begin
val cnt = IntArray(n + k)
val a = Array(n - 1) { 0 }
val b = Array(n - 1) { 0 }
val c = Array(n - 1) { 0 }
for (i in 0 until n - 1) {
a[i] = nextInt() - 1
b[i] = nextInt() - 1
c[i] = nextInt()
++cnt[a[i]]
++cnt[b[i]]
}
val m = Array(k) { 0 }
val p = Array(k) { 0 }
val x = Array(k) { Array(0) { 0 } }
for (i in 0 until k) {
m[i] = nextInt()
p[i] = nextInt()
cnt[n + i] += m[i]
x[i] = Array(m[i]) { nextInt() - 1 }
for (j in x[i]) ++cnt[j]
}
val g = Array(n + k) { Array(0) { Pair<Int, Int>(0, 0) } }
for (i in 0 until n + k) g[i] = Array(cnt[i]) { Pair<Int, Int>(0, 0) }
for (i in 0 until n - 1) {
g[a[i]][--cnt[a[i]]] = Pair<Int, Int>(b[i], c[i])
g[b[i]][--cnt[b[i]]] = Pair<Int, Int>(a[i], c[i])
}
for (i in 0 until k) {
for (j in x[i]) {
g[n + i][--cnt[n + i]] = Pair<Int, Int>(j, 0)
g[j][--cnt[j]] = Pair<Int, Int>(n + i, p[i])
}
}
//Making Graph-end
//LCA-begin
val logn = 16
val dep = Array(n) { -1 }
val dis = LongArray(n) { 0 }
val nxt = Array(logn + 1) { Array(n) { -1 } }
val que = ArrayDeque<Int>()
dep[0] = 0
que.addLast(0)
while (que.isNotEmpty()) {
val cur = que.pollFirst()
for ((to, cost) in g[cur]) {
if (to < n && dep[to] == -1) {
dep[to] = dep[cur] + 1
dis[to] = dis[cur] + cost
nxt[0][to] = cur
que.addLast(to)
}
}
}
for (j in 0 until logn) {
for (i in 0 until n) {
if (nxt[j][i] != -1) {
nxt[j + 1][i] = nxt[j][nxt[j][i]]
}
}
}
fun lca(x: Int, y: Int): Int {
var a = x
var b = y
if (dep[a] > dep[b]) {
a = y
b = x
}
val d = dep[b] - dep[a]
for (j in logn downTo 0) {
if (d and (1 shl j) > 0) b = nxt[j][b]
}
if (a == b) return a
for (j in logn downTo 0) {
if (nxt[j][a] != nxt[j][b]) {
a = nxt[j][a]
b = nxt[j][b]
}
}
return nxt[0][a]
}
//LCA-end
val q = nextInt()
val ans = Array(q) { 0L }
val u = Array(q) { 0 }
val v = Array(q) { 0 }
for (i in 0 until q) {
u[i] = nextInt() - 1
v[i] = nextInt() - 1
ans[i] = dis[u[i]] + dis[v[i]] - 2 * dis[lca(u[i], v[i])]
}
//Dijkstra-begin
val dp = Array(n + k) { 0L }
val pq = PriorityQueue<Long>()
for (i in 0 until k) {
val yet = Array(n + k) { true }
dp[n + i] = 0
yet[n + i] = false
pq.add((n + i).toLong())
while (pq.isNotEmpty()) {
var d = pq.remove()
val cur = (d % (n + k)).toInt()
d /= n + k
if (dp[cur] < d) continue
for ((to, cost) in g[cur]) {
if (yet[to]) {
yet[to] = false
dp[to] = d + cost
pq.add((d + cost) * (n + k) + to)
} else if (dp[to] > d + cost) {
dp[to] = d + cost
pq.add((d + cost) * (n + k) + to)
}
}
}
for (j in 0 until q) {
if (ans[j] > dp[u[j]] + dp[v[j]] + p[i]) {
ans[j] = dp[u[j]] + dp[v[j]] + p[i]
}
}
}
//Dijkstra-end
for (x in ans) println(x)
}
fun main() {
val writer = PrintWriter(System.out, false)
writer.solve()
writer.flush()
}
// region Scanner
private var st = StringTokenizer("")
private val br = System.`in`.bufferedReader()
fun next(): String {
while (!st.hasMoreTokens()) st = StringTokenizer(br.readLine())
return st.nextToken()
}
fun nextInt() = next().toInt()
fun nextLong() = next().toLong()
fun nextLine() = br.readLine()!!
fun nextDouble() = next().toDouble()
// endregion