Problem:
Score : 200 points

Problem Statement

We have a grid with N rows and M columns of squares. Initially, all the squares are white.

There is a button attached to each row and each column.
When a button attached to a row is pressed, the colors of all the squares in that row are inverted; that is, white squares become black and vice versa.
When a button attached to a column is pressed, the colors of all the squares in that column are inverted.

Takahashi can freely press the buttons any number of times. Determine whether he can have exactly K black squares in the grid.

Constraints

1 \leq N,M \leq 1000

0 \leq K \leq NM

Input

Input is given from Standard Input in the following format:

N M K

Output

If Takahashi can have exactly K black squares in the grid, print Yes; otherwise, print No.

Sample Input 1

2 2 2

Sample Output 1

Yes

Press the buttons in the order of the first row, the first column.

Sample Input 2

2 2 1

Sample Output 2

No

Sample Input 3

3 5 8

Sample Output 3

Yes

Press the buttons in the order of the first column, third column, second row, fifth column.

Sample Input 4

7 9 20

Sample Output 4

No

Solution in Go (1.14.1) (judge verdict: Wrong Answer)

package main

import (
	"bufio"
	"fmt"
	"math"
	"os"
	"strconv"
)

var sc = bufio.NewScanner(os.Stdin)

func swap(a int64, b int64) (int64, int64) {
	return b, a
}

func gcd(a int64, b int64) int64 {
	if b > a {
		a, b = swap(a, b)
	}
	if b == 0 {
		return a
	} else {
		return gcd(a%b, b)
	}
}

func nextInt() int {
	sc.Scan()
	i, e := strconv.Atoi(sc.Text())
	if e != nil {
		panic(e)
	}
	return i
}

func min(nums ...int64) int64 {
	if len(nums) == 0 {
		panic("funciton min() requires at least one argument.")
	}
	res := nums[0]
	for i := 0; i < len(nums); i++ {
		res = int64(math.Min(float64(res), float64(nums[i])))
	}
	return res
}

func max(nums ...int64) int64 {
	if len(nums) == 0 {
		panic("funciton max() requires at least one argument.")
	}
	res := nums[0]
	for i := 0; i < len(nums); i++ {
		res = int64(math.Max(float64(res), float64(nums[i])))
	}
	return res
}

func nextLong() int64 {
	sc.Scan()
	i, e := strconv.ParseInt(sc.Text(), 10, 64)
	if e != nil {
		panic(e)
	}
	return i
}

func nextString() string {
	sc.Scan()
	s := sc.Text()
	return s
}

func nextByte() byte {
	sc.Scan()
	s := sc.Bytes()
	return s[0]
}

func main() {
	sc.Split(bufio.ScanWords)
	//ans := 1
	N := nextInt()
	M := nextInt()
	K := nextInt()
	Blacknum := 0
	Clear := false
	for row := 0; row <= N; row++ {
		for col := 0; col <= M; col++ {
			Blacknum = (N-col)*row + (M-row)*col
			if Blacknum == K {
				Clear = true
			}
		}
	}
	if Clear {
		fmt.Printf("Yes\n")
	} else {
		fmt.Printf("No\n")
	}
}