Go: package main

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

var scanner = bufio.NewScanner(os.Stdin)
var (
	table, ans = [12][12]int{}, [12][12]int{}
)

func main() {
	scanner.Scan()
	n, _ := strconv.Atoi(scanner.Text())
	for i := 0; i < n; i++ {
		for j := 1; j < 11; j++ {
			scanner.Scan()
			input := strings.Split(scanner.Text(), " ")
			tmp := [10]int{}
			for k := range input {
				tmp[k], _ = strconv.Atoi(input[k])
			}
			for l := 1; l < 11; l++ {
				table[j][l] = tmp[l-1]
			}
		}
		check(table, 1, ans)
	}
}

func check(table [12][12]int, i int, ans [12][12]int) {
	if i == 11 {
		solve(table, 2, 1, ans)
		return
	}
	ans[1][i] = 0
	check(table, i+1, ans)
	ans[1][i] = 1
	attack(table, 1, i)
	check(table, i+1, ans)
	attack(table, 1, i)
}

func solve(table [12][12]int, i, j int, ans [12][12]int) {
	if i == 11 {
		flag := true
		for k := 1; k < 11; k++ {
			if table[10][k] == 1 {
				flag = false
				break
			}
		}
		if flag {
			printans(ans)
		}
		return
	}
	if table[i-1][j] == 1 {
		ans[i][j] = 1
		attack(table, i, j)
		if j == 10 {
			solve(table, i+1, 1, ans)
		} else {
			solve(table, i, j+1, ans)
		}
		attack(table, i, j)
		ans[i][j] = 0
	} else {
		ans[i][j] = 0
		if j == 10 {
			solve(table, i+1, 1, ans)
		} else {
			solve(table, i, j+1, ans)
		}
	}
}

func printans(ans [12][12]int) {
	for i := 1; i < 11; i++ {
		for j := 1; j < 11; j++ {
			fmt.Print(ans[i][j])
			if j < 10 {
				fmt.Print(" ")
			}
		}
		fmt.Println()
	}
}

func attack(table [12][12]int, i, j int) {
	table[i][j] = 1 - table[i][j]
	table[i-1][j] = 1 - table[i-1][j]
	table[i+1][j] = 1 - table[i+1][j]
	table[i][j-1] = 1 - table[i][j-1]
	table[i][j+1] = 1 - table[i][j+1]
}

C++: #include<iostream>
#include<vector>
#include<queue>
#include<algorithm>
#include<cstring>

#define MAX 12

using namespace std;

inline bool inRange(int t, int min, int max){
	return (min <= t && t < max);
}

class CMap{
public:
	int m[MAX][MAX];
	CMap()
	{
		for(int i = 0; i < MAX; ++i)
			for(int j = 0; j < MAX; ++j)
				m[i][j] = 1;
	}

	void Reset(){
		for(int i = 0; i < MAX; ++i)
			for(int j = 0; j < MAX; ++j)
				m[i][j] = 0;
	}

	void PassParticle(int i, int j)
	{
		const int di[] = {0,-1,0,1,0};
		const int dj[] = {0,0,1,0,-1};

		for(int k = 0; k < sizeof(di)/sizeof(*di); ++k)
			if( inRange( i+di[k], 1, MAX - 1 ) && inRange( j + dj[k], 1, MAX - 1 ) )
				m[i+di[k]][j+dj[k]] = (m[i+di[k]][j+dj[k]] + 1) % 2;
	}

	bool NoLight() const
	{
		for(int i = 1; i < MAX - 1; ++i)
			for(int j = 1; j < MAX - 1; ++j)
				if( m[i][j] == 1 ) return false;
		return true;
	}

	void Print() const
	{
		for(int i = 1; i < MAX - 1; ++i){
			cout << m[i][1];
			for(int j = 2; j < MAX - 1; ++j)
				cout << ' ' << m[i][j];
			cout << '\n';
		}
	}
	
	bool operator==(const CMap &t) const
	{
		for(int i = 1; i < MAX - 1; ++i)
			for(int j = 1; j < MAX - 1; ++j)
				if( t.m[i][j] != m[i][j] )
					return false;
		return true;
	}
};

void BFS(CMap &stm, CMap &ret){
	vector< CMap > q;

	q.push_back( stm );

	while( !q.empty() ){
		CMap M = q[0];
		q.erase( q.begin() );

		if( M.NoLight() )
		{
			ret = M;
			break;
		}

		for(int i = 1; i < MAX - 1; ++i){
			for(int j = 1; j < MAX - 1 ; ++j){
				CMap add;
				int cnt1 = 0;
				const int di[] = {0,-1,0,1,0};
				const int dj[] = {0,0,1,0,-1};

				for(int k = 0; k < sizeof(di)/sizeof(*di); ++k)
					if( M.m[i+di[k]][j+dj[k]] == 1 )
						++cnt1;

				if( cnt1 >= 3 )
				{
					add = M;
					add.PassParticle( i, j );
					if( q.end() == find( q.begin(), q.end(), add ) )
						q.push_back( add );
				}
			}
		}
	}
}
void DetermineShootingPoints(CMap &stm, CMap &ans){
	while( !stm.NoLight() ){
		int max1 = 0;
		int pi, pj;
		for(int i = 1; i < MAX - 1; ++i){
			for(int j = 1; j < MAX - 1 ; ++j){
				int cnt1 = 0;
				const int di[] = {0,-1,0,1,0};
				const int dj[] = {0,0,1,0,-1};

				for(int k = 0; k < sizeof(di)/sizeof(*di); ++k)
					if( stm.m[i+di[k]][j+dj[k]] == 1 )
						++cnt1;

				if( cnt1 > max1 ){
					max1 = cnt1;
					pi = i;
					pj = j;
				}
			}
		}
		stm.PassParticle( pi, pj );
		ans.m[pi][pj] = 1;
	}
}
int main(void){
	int n;

	cin >> n;
	for( int D = 0; D < n; ++D )
	{
		CMap M;
		CMap Answer;

		for(int i = 1; i < MAX - 1; ++i)
			for(int j = 1; j < MAX - 1 ; ++j)
				cin >> M.m[i][j];

		Answer.Reset();
		DetermineShootingPoints( M, Answer );
		Answer.Print();
	}
	return 0;
}

C++: #include <iostream>
#include <cstring>
#include <algorithm>

using namespace std;

const int dx[] = {0, -1, 0, 1, 0};
const int dy[] = {-1, 0, 0, 0, 1};

int n;
int input[10][10], state[10][10], ans[10][10];

void pass(int y, int x) {
    for (int i=0; i<5; ++i) {
        if (0 <= y + dy[i] && y + dy[i] < 10 && 0 <= x + dx[i] && x + dx[i] < 10) {
            state[y + dy[i]][x + dx[i]] = !state[y + dy[i]][x + dx[i]];
        }
    }
    ans[y][x] = !ans[y][x];
}

int main() {
    ios::sync_with_stdio(false);
    cin >> n;
    while (n --) {
        for (int i=0; i<10; ++i) {
            for (int j=0; j<10; ++j) {
                cin >> input[i][j];
            }
        }
        for (int bt=0; bt<(1<<10); ++bt) {
            memcpy(state, input, sizeof(input));
            memset(ans, 0, sizeof(ans));
            for (int j=0; j<10; ++j) {
                if ((bt>>j) & 1) {
                    pass(0, j);
                }
            }
            for (int i=1; i<10; ++i) {
                for (int j=0; j<10; ++j) {
                    if (state[i-1][j] == 1) {
                        pass(i, j);
                    }
                }
            }
            if (accumulate(state[9], state[9] + 10, 0) == 0) break;
        }
        for (int i=0; i<10; ++i) {
            for (int j=0; j<10; ++j) {
                cout << (j == 0 ? "" : " ") << ans[i][j];
            }
            cout << endl;
        }
    }
    return 0;
}