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maximum_subarray_sum.go
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/
maximum_subarray_sum.go
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package main
import (
"bufio"
"fmt"
"os"
"sort"
)
type pair struct {
index int
prefix int64
}
func maximumSum(arr []int64, m int64) int64 {
n := len(arr)
prefix := make([]pair, n)
var current, maxSum int64
for i := 0; i < n; i++ {
current = (arr[i]%m + current) % m
prefix[i].prefix = current
prefix[i].index = i
if current > maxSum {
maxSum = current
}
}
if maxSum == m-1 {
return maxSum
}
sort.SliceStable(prefix, func(i, j int) bool {
return prefix[i].prefix < prefix[j].prefix
})
for i := 1; i < n; i++ {
if prefix[i].index < prefix[i-1].index {
diff := prefix[i].prefix - prefix[i-1].prefix
if m-diff > maxSum && diff != 0 {
maxSum = m - diff
if maxSum == m-1 {
break
}
}
}
}
return maxSum
}
func main() {
stdin, err := os.Open(os.Getenv("INPUT_PATH"))
if err != nil {
stdin = os.Stdin
}
defer stdin.Close()
stdout, err := os.Create(os.Getenv("OUTPUT_PATH"))
if err != nil {
stdout = os.Stdout
}
defer stdout.Close()
reader := bufio.NewReaderSize(stdin, 1024*1024)
writer := bufio.NewWriterSize(stdout, 1024*1024)
var q int
fmt.Fscan(reader, &q)
for i := 0; i < q; i++ {
var n int
var m int64
fmt.Fscan(reader, &n, &m)
arr := make([]int64, n)
for j := 0; j < n; j++ {
fmt.Fscan(reader, &arr[j])
}
answer := maximumSum(arr, m)
fmt.Fprintln(writer, answer)
}
writer.Flush()
}
func checkError(err error) {
if err != nil {
panic(err)
}
}