For problem statement at 1000-1999/1400-1499/1480-1489/1482/problemE.txt this is a correct solution, but verifier at 1000-1999/1400-1499/1480-1489/1482/verifierE.go ends with test 1 mismatch
expected: 0
got: 5
exit status 1 can you fix the verifier? ```go
package main
import (
"bufio"
"fmt"
"os"
)
func main() {
reader := bufio.NewReader(os.Stdin)
writer := bufio.NewWriter(os.Stdout)
defer writer.Flush()
var n int
fmt.Fscan(reader, &n)
h := make([]int, n)
b := make([]int, n)
for i := 0; i < n; i++ {
fmt.Fscan(reader, &h[i])
}
for i := 0; i < n; i++ {
fmt.Fscan(reader, &b[i])
}
// dp[i] = maximum beauty for buildings 0..i-1
// dp[0] = 0
// dp[i] = max over j from 0 to i-1 of (dp[j] + beauty of photo covering j..i-1)
// beauty of photo covering j..i-1 = b[min height in j..i-1]
// Key insight: for each building k, it is the minimum of photo [j..i-1]
// iff h[k] is the minimum in that range, meaning j <= k <= i-1 and
// h[k] < h[m] for all m in [j, i-1] except k.
// We use a stack-based approach:
// dp[i] = max over k where k could be the minimum of the last segment ending at i-1
//
// For each i (1-indexed endpoint), we want:
// dp[i] = max_{j=1}^{i} (dp[j-1] + b[min of h[j..i]])
//
// Using a monotonic stack on heights:
// Maintain a stack of (height, max_dp_val) where max_dp_val represents
// the best dp[j-1] achievable when h[k] is the minimum of the segment.
// More precisely, we maintain a stack where each entry represents a "group"
// of potential left endpoints where a certain building is the minimum.
// Stack stores (h[k], best) where best = max dp[j-1] for j in the group,
// and the current photo beauty would be b[k].
// When we process position i (0-indexed building i):
// We consider building i as part of segments ending at i.
// Pop elements from stack that have height > h[i] (building i is shorter).
// The best value from popped elements gets merged.
dp := make([]int64, n+1)
dp[0] = 0
type stackEntry struct {
height int
best int64 // max dp[j] for left boundaries in this group
}
stack := []stackEntry{}
for i := 0; i < n; i++ {
// We're computing dp[i+1]
// New entry for building i: the group where h[i] is minimum
// Initially best = dp[i] (segment of length 1: just building i)
cur := stackEntry{h[i], dp[i]}
for len(stack) > 0 && stack[len(stack)-1].height > h[i] {
top := stack[len(stack)-1]
stack = stack[:len(stack)-1]
// Merge: building i is shorter than top's buildings,
// so building i becomes the minimum for those left endpoints too
if top.best > cur.best {
cur.best = top.best
}
}
stack = append(stack, cur)
// Now compute dp[i+1] = max over all stack entries of (entry.best + b[building with entry.height])
// But we need to know which building index corresponds to the minimum in each group.
// Actually the stack entry's height corresponds to the current minimum building.
// Wait, we need b value of the minimum building, not just its height.
// Let me reconsider: we need to track b value of the minimum building in each group.
// Modify stack to store b value of the minimum.
_ = stack
_ = cur
break
}
// Redo with b value tracked
type entry struct {
height int
bVal int64
best int64
}
stk := []entry{}
dp[0] = 0
var ans int64 = -1 << 60
for i := 0; i < n; i++ {
cur2 := entry{h[i], int64(b[i]), dp[i]}
for len(stk) > 0 && stk[len(stk)-1].height > h[i] {
top := stk[len(stk)-1]
stk = stk[:len(stk)-1]
if top.best > cur2.best {
cur2.best = top.best
}
}
stk = append(stk, cur2)
// dp[i+1] = max over entries in stack of (entry.best + entry.bVal)
var best int64 = -1 << 60
for _, e := range stk {
val := e.best + e.bVal
if val > best {
best = val
}
}
dp[i+1] = best
if dp[i+1] > ans {
ans = dp[i+1]
}
}
fmt.Fprintln(writer, ans)
}
```