#354200 (Go) No.107 モンスター

• 問題: No.107 モンスター
• ユーザー: maguroguma
• 提出日時: 2019-06-27 00:51:09
• 言語: Go (1.22.1)
• 結果: AC
• 実行時間: 110 ms / 5,000 ms
• コード長: 7,597 bytes
• コンパイル時間: 11,287 ms
• コンパイル使用メモリ: 212,392 KB
• 実行使用メモリ: 13,812 KB
• 最終ジャッジ日時: 2023-09-08 15:38:58
• 合計ジャッジ時間: 13,054 ms
• ジャッジサーバーID （参考情報）: judge14 / judge11

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,492 KB
testcase_01	AC	2 ms; 5,496 KB
testcase_02	AC	1 ms; 5,492 KB
testcase_03	AC	2 ms; 5,492 KB
testcase_04	AC	2 ms; 5,492 KB
testcase_05	AC	2 ms; 5,496 KB
testcase_06	AC	1 ms; 5,492 KB
testcase_07	AC	1 ms; 5,496 KB
testcase_08	AC	1 ms; 5,496 KB
testcase_09	AC	2 ms; 5,496 KB
testcase_10	AC	2 ms; 5,496 KB
testcase_11	AC	2 ms; 5,500 KB
testcase_12	AC	2 ms; 5,496 KB
testcase_13	AC	24 ms; 7,832 KB
testcase_14	AC	53 ms; 9,880 KB
testcase_15	AC	53 ms; 9,880 KB
testcase_16	AC	2 ms; 5,500 KB
testcase_17	AC	12 ms; 5,604 KB
testcase_18	AC	107 ms; 13,636 KB
testcase_19	AC	106 ms; 13,520 KB
testcase_20	AC	26 ms; 7,828 KB
testcase_21	AC	25 ms; 7,832 KB
testcase_22	AC	51 ms; 10,164 KB
testcase_23	AC	110 ms; 13,812 KB
testcase_24	AC	106 ms; 13,540 KB

ソースコード

package main

import (
	"bufio"
	"errors"
	"fmt"
	"io"
	"os"
	"strconv"
)

/*********** I/O ***********/

var (
	// ReadString returns a WORD string.
	ReadString func() string
	stdout     *bufio.Writer
)

func init() {
	ReadString = newReadString(os.Stdin)
	stdout = bufio.NewWriter(os.Stdout)
}

func newReadString(ior io.Reader) func() string {
	r := bufio.NewScanner(ior)
	r.Buffer(make([]byte, 1024), int(1e+11))
	// Split sets the split function for the Scanner. The default split function is ScanLines.
	// Split panics if it is called after scanning has started.
	r.Split(bufio.ScanWords)

	return func() string {
		if !r.Scan() {
			panic("Scan failed")
		}
		return r.Text()
	}
}

// ReadInt returns an integer.
func ReadInt() int {
	return int(readInt64())
}

func readInt64() int64 {
	i, err := strconv.ParseInt(ReadString(), 0, 64)
	if err != nil {
		panic(err.Error())
	}
	return i
}

// ReadIntSlice returns an integer slice that has n integers.
func ReadIntSlice(n int) []int {
	b := make([]int, n)
	for i := 0; i < n; i++ {
		b[i] = ReadInt()
	}
	return b
}

// ReadFloat64 returns an float64.
func ReadFloat64() float64 {
	return float64(readFloat64())
}

func readFloat64() float64 {
	f, err := strconv.ParseFloat(ReadString(), 64)
	if err != nil {
		panic(err.Error())
	}
	return f
}

// ReadFloatSlice returns an float64 slice that has n float64.
func ReadFloat64Slice(n int) []float64 {
	b := make([]float64, n)
	for i := 0; i < n; i++ {
		b[i] = ReadFloat64()
	}
	return b
}

// ReadRuneSlice returns a rune slice.
func ReadRuneSlice() []rune {
	return []rune(ReadString())
}

/*********** Debugging ***********/

// ZeroPaddingRuneSlice returns binary expressions of integer n with zero padding.
// For debugging use.
func ZeroPaddingRuneSlice(n, digitsNum int) []rune {
	sn := fmt.Sprintf("%b", n)

	residualLength := digitsNum - len(sn)
	if residualLength <= 0 {
		return []rune(sn)
	}

	zeros := make([]rune, residualLength)
	for i := 0; i < len(zeros); i++ {
		zeros[i] = '0'
	}

	res := []rune{}
	res = append(res, zeros...)
	res = append(res, []rune(sn)...)

	return res
}

/*********** DP sub-functions ***********/

// ChMin accepts a pointer of integer and a target value.
// If target value is SMALLER than the first argument,
//	then the first argument will be updated by the second argument.
func ChMin(updatedValue *int, target int) bool {
	if *updatedValue > target {
		*updatedValue = target
		return true
	}
	return false
}

// ChMax accepts a pointer of integer and a target value.
// If target value is LARGER than the first argument,
//	then the first argument will be updated by the second argument.
func ChMax(updatedValue *int, target int) bool {
	if *updatedValue < target {
		*updatedValue = target
		return true
	}
	return false
}

// NthBit returns nth bit value of an argument.
// n starts from 0.
func NthBit(num, nth int) int {
	return num >> uint(nth) & 1
}

/*********** Arithmetic ***********/

// Max returns the max integer among input set.
// This function needs at least 1 argument (no argument causes panic).
func Max(integers ...int) int {
	m := integers[0]
	for i, integer := range integers {
		if i == 0 {
			continue
		}
		if m < integer {
			m = integer
		}
	}
	return m
}

// Min returns the min integer among input set.
// This function needs at least 1 argument (no argument causes panic).
func Min(integers ...int) int {
	m := integers[0]
	for i, integer := range integers {
		if i == 0 {
			continue
		}
		if m > integer {
			m = integer
		}
	}
	return m
}

// DigitSum returns digit sum of a decimal number.
// DigitSum only accept a positive integer.
func DigitSum(n int) int {
	if n < 0 {
		return -1
	}

	res := 0

	for n > 0 {
		res += n % 10
		n /= 10
	}

	return res
}

// Sum returns multiple integers sum.
func Sum(integers ...int) int {
	s := 0

	for _, i := range integers {
		s += i
	}

	return s
}

// CeilInt returns the minimum integer larger than or equal to float(a/b).
func CeilInt(a, b int) int {
	res := a / b
	if a%b > 0 {
		res++
	}
	return res
}

// FloorInt returns the maximum integer smaller than or equal to float(a/b)
func FloorInt(a, b int) int {
	res := a / b
	return res
}

// PowInt is integer version of math.Pow
// PowInt calculate a power by Binary Power (二分累乗法(O(log e))).
func PowInt(a, e int) int {
	if a < 0 || e < 0 {
		panic(errors.New("[argument error]: PowInt does not accept negative integers"))
	}

	if e == 0 {
		return 1
	}

	if e%2 == 0 {
		halfE := e / 2
		half := PowInt(a, halfE)
		return half * half
	}

	return a * PowInt(a, e-1)
}

// AbsInt is integer version of math.Abs
func AbsInt(a int) int {
	if a < 0 {
		return -a
	}
	return a
}

// Gcd returns the Greatest Common Divisor of two natural numbers.
// Gcd only accepts two natural numbers (a, b >= 1).
// 0 or negative number causes panic.
// Gcd uses the Euclidean Algorithm.
func Gcd(a, b int) int {
	if a <= 0 || b <= 0 {
		panic(errors.New("[argument error]: Gcd only accepts two NATURAL numbers"))
	}
	if a < b {
		a, b = b, a
	}

	// Euclidean Algorithm
	for b > 0 {
		div := a % b
		a, b = b, div
	}

	return a
}

// Lcm returns the Least Common Multiple of two natural numbers.
// Lcd only accepts two natural numbers (a, b >= 1).
// 0 or negative number causes panic.
// Lcd uses the Euclidean Algorithm indirectly.
func Lcm(a, b int) int {
	if a <= 0 || b <= 0 {
		panic(errors.New("[argument error]: Gcd only accepts two NATURAL numbers"))
	}

	// a = a'*gcd, b = b'*gcd, a*b = a'*b'*gcd^2
	// a' and b' are relatively prime numbers
	// gcd consists of prime numbers, that are included in a and b
	gcd := Gcd(a, b)

	// not (a * b / gcd), because of reducing a probability of overflow
	return (a / gcd) * b
}

// Strtoi is a wrapper of `strconv.Atoi()`.
// If `strconv.Atoi()` returns an error, Strtoi calls panic.
func Strtoi(s string) int {
	if i, err := strconv.Atoi(s); err != nil {
		panic(errors.New("[argument error]: Strtoi only accepts integer string"))
	} else {
		return i
	}
}

// PrintIntsLine returns integers string delimited by a space.
func PrintIntsLine(A ...int) string {
	res := []rune{}

	for i := 0; i < len(A); i++ {
		str := strconv.Itoa(A[i])
		res = append(res, []rune(str)...)

		if i != len(A)-1 {
			res = append(res, ' ')
		}
	}

	return string(res)
}

/********** I/O usage **********/

//str := ReadString()
//i := ReadInt()
//X := ReadIntSlice(n)
//S := ReadRuneSlice()

/*******************************************************************/

const MOD = 1000000000 + 7
const ALPHABET_NUM = 26

var n int
var D []int

var dp [1 << 16][1 + 17]int
var flags [1 << 16][1 + 17]bool

func main() {
	n = ReadInt()
	D = ReadIntSlice(n)

	for bits := 0; bits < (1 << uint(n)); bits++ {
		for j := 1; j <= n+1; j++ {
			dp[bits][j] = -1 * (1 << 60)
		}
	}

	dp[0][1] = 100
	flags[0][1] = true
	for bits := 0; bits < (1 << uint(n)); bits++ {
		for j := 1; j < n+1; j++ {
			for k := 0; k < n; k++ {
				if NthBit(bits, k) == 0 && flags[bits][j] {
					if D[k] > 0 {
						ChMax(&dp[bits|(1<<uint(k))][j], Min(dp[bits][j]+D[k], 100*j))
					} else {
						ChMax(&dp[bits|(1<<uint(k))][j+1], dp[bits][j]+D[k])
					}
				}
			}
		}

		for j := 1; j <= n+1; j++ {
			for k := 0; k < n; k++ {
				if dp[bits|(1<<uint(k))][j] > 0 {
					flags[bits|(1<<uint(k))][j] = true
				}
			}
		}
	}

	ans := -1 * (1 << 60)
	for j := 1; j <= n+1; j++ {
		ChMax(&ans, dp[1<<uint(n)-1][j])
	}
	fmt.Println(Max(ans, 0))
}

// MODはとったか？
// 遷移だけじゃなくて最後の最後でちゃんと取れよ？

/*******************************************************************/