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A17.go
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65 lines (53 loc) · 1012 Bytes
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package main
import (
"fmt"
)
func findShortestPath(N int, A, B []int) []int {
dp := make([]int, N+1)
prev := make([]int, N+1)
const INF = 1 << 30
for i := range dp {
dp[i] = INF
}
dp[1] = 0
for i := 2; i <= N; i++ {
dp[i] = dp[i-1] + A[i]
prev[i] = i - 1
if i > 2 {
alt := dp[i-2] + B[i]
if alt < dp[i] {
dp[i] = alt
prev[i] = i - 2
}
}
}
// 経路復元(逆順に格納するのを避ける)
path := make([]int, 0, N)
for cur := N; cur != 0; cur = prev[cur] {
path = append(path, cur)
}
// 経路を正しい順番に並べ替える
sz := len(path)
for i := 0; i < sz/2; i++ {
path[i], path[sz-1-i] = path[sz-1-i], path[i]
}
return path
}
func main() {
var N int
fmt.Scan(&N)
A := make([]int, N+1)
B := make([]int, N+1)
for i := 2; i <= N; i++ {
fmt.Scan(&A[i])
}
for i := 3; i <= N; i++ {
fmt.Scan(&B[i])
}
path := findShortestPath(N, A, B)
fmt.Println(len(path))
for _, p := range path {
fmt.Print(p, " ")
}
fmt.Println()
}