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mail@pastecode.io avatar
unknown
plain_text
a year ago
444 kB
5
Indexable
Never
Cleaning Robot
We have to plan a path for a cleaning robot to clean a rectangular room floor of size NxM. The room floor paved with square tiles whose size fits the cleaning robot (1 × 1). There are clean tiles and dirty tiles, and the robot can change a dirty tile to a clean tile by visiting the tile. Also there may be some obstacles (furniture) whose size fits a tile in the room. If there is an obstacle on a tile, the robot cannot visit it. The robot moves to an adjacent tile with one move. The tile onto which the robot moves must be one of four tiles (i.e., east, west, north or south) adjacent to the tile where the robot is present. The robot may visit a tile twice or more.
Your task is to write a program which computes the minimum number of moves for the robot to change all dirty tiles to clean tiles, if ever possible.
Time limit: 1s (C/C++), 2s (Java)
Submit limit: 10 times
Example:
The following is a room of size 5x7, with 3 dirty tiles, and 0 furniture. The answer for this case is 8.
 
Input
The input consists of multiple maps, the first line is the number of test case T (T < = 50).
Each test case begins with N and M representing the size of the room. ( 5 =< N, M <= 100)
The next N line representing the arrangement of the room with following describe:
0 : a clean tile
1 : a dirty tile
2 : a piece of furniture (obstacle)
3 : the robot (initial position)
In the map the number of dirty tiles does not exceed 10 and there is only one robot.
Output
Print each test case on two lines, the first line of each test case is "Case #x", where x is the test case number. The next line is the minimum number of moves for the robot to change all dirty tiles to clean tiles. If the map includes dirty tiles which the robot cannot reach, your program should output -1.
Sample
Input
5
5 7
0 0 0 0 0 0 0
0 3 0 0 0 1 0
0 0 0 0 0 0 0
0 1 0 0 0 1 0
0 0 0 0 0 0 0
5 15
0 0 0 0 2 0 2 0 0 0 0 1 2 0 1
0 0 0 1 0 2 0 2 2 0 1 2 0 0 0
2 1 0 2 0 1 0 2 0 0 0 0 0 0 0
0 0 0 1 0 2 0 0 1 2 0 0 2 0 0
0 2 1 0 2 0 0 0 0 0 3 0 0 0 0
...............
Output
Case #1
8
Case #2
38
Case #3
37
Case #4
-1
Case #5
49


////////////input
50
5 15
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0 2 1 0 2 0 0 0 0 0 3 0 0 0 0 
9 15
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0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 
0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 
0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 
2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 
0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 
0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 
0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 
0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
////////////solution 2
#include<iostream>

using namespace std;

typedef struct
{
	int x,y;
}o_xy;

int N,M; // kick thuoc matran input
int Map[110][110]; // map input

o_xy Dirty[15]; // max 10 vet ban
int MapDistant[15][15]; // mang khoang cach cac diem
int indexDirty;
bool VisitedDirty[15];

o_xy Queue[100000];
int Qd[100000];
bool VisitedBFS[110][110] = {false};


int r =-1, f = -1;

void push(o_xy point, int d)
{
	r++;
	Queue[r].x = point.x;
	Queue[r].y = point.y;
	Qd[r] = d;
}

void pop(o_xy &point, int &d)
{
	f++;
	point.x = Queue[f].x;
	point.y = Queue[f].y;
	d = Qd[f];
}

int dx[4] = {0,-1,0,1};
int dy[4] = {-1,0,1,0};

void reset()
{
	r = f = -1;

	for(int i = 0; i< 110; i++)
	{
		for(int j =0; j< 110; j++)
		{
			VisitedBFS[i][j] = false;
		}
	}
}


int BFS(o_xy startPoint, o_xy endPoint)
{
	int d = 0;
	push(startPoint, d);
	VisitedBFS[startPoint.x][startPoint.y] = true;
	o_xy pre;

	while(r!=f)
	{
		pop(pre,d);

		for(int i =0; i< 4; i++)
		{
			o_xy next;
			next.x = pre.x + dx[i];
			next.y = pre.y + dy[i];
			if(next.x >= 0 && next.x <N && next.y >= 0 && next.y < M)
			{
				if(VisitedBFS[next.x][next.y] == false && next.x == endPoint.x && next.y == endPoint.y)
				{
					return d + 1;
				}
				if(VisitedBFS[next.x][next.y] == false && Map[next.x][next.y] != 2)
				{
					push(next,d+1);
					VisitedBFS[next.x][next.y] = true;
				}
			}
		}
	}
	return -1;
}

int sum;
int maxSum;

void backTrack(int k, int m)
{
	if (sum > maxSum) {
		return;
	}

	if(k == indexDirty)
	{
		if(sum < maxSum)
		{
			maxSum = sum;
		}
		return;
	}
	for(int i = 1; i <= indexDirty;i++)
	{
		if(!VisitedDirty[i])
		{
			VisitedDirty[i] = true;
			sum += MapDistant[m][i];
			backTrack(k+1,i);
			VisitedDirty[i] = false;
			sum -= MapDistant[m][i];
		}
	}
}


int main()
{
	//freopen("Text.txt","r",stdin);
	int T;
	cin>>T;

	for(int tc = 1; tc <= T; tc++)
	{
		cin>>N>>M;
		reset();
		o_xy startPoint; // diem bat dau
		indexDirty = 0;
		for(int i = 0; i< N; i++)
		{
			for(int j = 0; j< M; j++)
			{
				cin>>Map[i][j];
				if(Map[i][j] == 1)
				{
					++indexDirty;
					Dirty[indexDirty].x = i;
					Dirty[indexDirty].y = j;
				}
				if(Map[i][j] == 3)
				{
					Dirty[0].x = i;
					Dirty[0].y = j;
				}
			}
		}
			// BFS
		bool isFail = false;
			for(int i = 0; i <= indexDirty; i++)
			{
				for(int j = 0; j <= indexDirty; j++)
				{
					if(i == j)
					{
						MapDistant[i][j] = 0;
					}
					else
					{
						reset();
						int valueDistant = BFS(Dirty[i],Dirty[j]);
						if(valueDistant == -1)
						{
							indexDirty += 1;
							isFail = true;
						}
						MapDistant[i][j] = valueDistant;
					}
				}
			}
			// process backtrack
			
			cout<<"Case #"<<tc<<endl;
			if(isFail)
			{
				cout<<-1<<endl;
			}
			else
			{
				sum = 0;
				maxSum = 1000000000;
				backTrack(0,0);
				cout<<maxSum<<endl;
			}
		}
	return 0;
}
//////////////// SOLUTION 1
// In Practice, You should use the statndard input/output
// in order to receive a score properly.
// Do not use file input and output. Please be very careful. 

#include<iostream>
#define MAX_INT 999999
using namespace std;
int Queue[100025][2];
int startQ, endQ;
int room[105][105],visit[105][105];
int M,N,ct;
int Answer;
int dirty[15][2],dist[15][15];
int VsBacktrack[15];

void push(int x, int y){
	Queue[endQ][0] = x;
	Queue[endQ][1] = y;
	endQ++;
}


bool check(int x,int y){
	if(room[x][y] == 2 || visit[x][y] != MAX_INT) return false;
	return true;
}
void setVisit(int x, int y,int value){
	push(x,y);
	visit[x][y] = value;
}

void BFS(int k){
	for(int i = 1; i <= N; i++)
		for(int j = 1; j <= M; j++) visit[i][j] = MAX_INT;
	startQ = 0;
	endQ = 0;
	int x = dirty[k][0];
	int y = dirty[k][1];
	visit[x][y] = 0;
	push(x,y);
	while(startQ < endQ){
		x = Queue[startQ][0];
		y = Queue[startQ][1];
		startQ++;
		if(check(x+1,y)) setVisit(x+1,y,visit[x][y]+1);
		if(check(x-1,y)) setVisit(x-1,y,visit[x][y]+1);
		if(check(x,y+1)) setVisit(x,y+1,visit[x][y]+1);
		if(check(x,y-1)) setVisit(x,y-1,visit[x][y]+1);
	}
	for(int i = 0; i<= ct; i++) {
		dist[k][i] = visit[ dirty[i][0] ][ dirty[i][1] ];
	}
}

void Backtrack(int x,int count ,int value){
	if (count == ct) Answer = Answer > value ? value : Answer;
	
	for (int i = 1; i<=ct; i++) {
		if(VsBacktrack[i] == 0 && value + dist[x][i] < Answer){
			VsBacktrack[i] = 1;
			Backtrack(i,count+1,value + dist[x][i]);
			VsBacktrack[i] = 0;
		}
	}
}

int main(int argc, char** argv)
{
	int test_case;
	int T;
	
	ios::sync_with_stdio(false);
	
	/* 
	The freopen function below opens input.txt in read only mode and 
	sets your standard input to work with the opened file. 
	When you test your code with the sample data, you can use the function
	below to read in from the sample data file instead of the standard input.
	So. you can uncomment the following line for your local test. But you
	have to comment the following line when you submit for your scores.
	*/

	freopen("input.txt", "r", stdin);
	freopen("output.txt", "w", stdout);
	cin >> T;

	/*
	   Read each test case from standard input.
	*/
	for(test_case = 1; test_case <= T; ++test_case)
	{
		Answer = MAX_INT;
		cin >> N >> M;
		ct = 0;
		for(int i = 1; i <= N; i++){
			for(int j = 1; j <= M; j++){
				cin >> room[i][j];
				if (room[i][j] == 3) {
					dirty[0][0] = i;
					dirty[0][1] = j;
				}
				if (room[i][j] == 1) {
					ct++;
					dirty[ct][0] = i;
					dirty[ct][1] = j;
				}
			}
			room[i][0] = 2;
			room[i][M+1] = 2;
		}
		for(int i = 1; i <= M; i++){
			room[0][i] = 2;
			room[N+1][i] = 2;
		}
		
		for(int i = 0; i<= ct; i++) BFS(i);
		
		for (int i = 1; i<= ct; i++) 
			if (dist[0][i] == MAX_INT) Answer = -1;

		if  (Answer == MAX_INT){
			for (int i = 0; i<= ct; i++) VsBacktrack[i] = 0;
			Backtrack(0,0,0);
		}
		/////////////////////////////////////////////////////////////////////////////////////////////
		/*
			Please, implement your algorithm from this section.
		*/
		/////////////////////////////////////////////////////////////////////////////////////////////


		// Print the answer to standard output(screen).
		
		cout << "Case #" << test_case << endl << Answer << endl;
	}
	return 0;//Your program should return 0 on normal termination.
}

/////// SOLUTION 2

SCORE
Score
Có N vị giám khảo trong kỳ thi chọn đội tuyển tin học. Kỳ thi bao gồm K bài. Vị giám khảo thứ i đề nghị số điểm của bài j là Aịj.
Hội đồng giám khảo muốn xác định số điểm cho mỗi bài sao cho:
Tổng số điểm bằng S.
Điểm của mỗi bài không bé hơn điểm của bài trước đó.
Số điểm của mỗi bài bằng điểm đề nghị cho bài này của một vị giám khảo nào đó.
 
Input
Dòng đầu tiên chứa số nguyên T là số testcase (T ≤ 100). Trong đó mỗi testcase sẽ chứa:
Dòng đầu chứa ba số nguyên S, K, N (1 ≤ S ≤ 200), (1 ≤ K ≤ 20), (1 ≤ N ≤ 20).
Dòng thứ i trong số N dòng tiếp theo chứa K số nguyên, số thứ j cho biết giá trị Aij là số điểm vị giám khảo thứ i đề nghị cho bài thứ j. (1 ≤ Aij ≤ 100),
 
Output
Kết quả của mỗi testcase sẽ được in theo định dạng sau:
Dòng đầu tiên là: “Case number_testcase”
Nếu tồn tại một cách cho điểm thỏa mãn yêu cầu in ra số trường hợp thỏa mãn.
Nếu không tồn tại cách cho điểm, in ra -1.
 
Sample
Input
2
100 3 2
30 20 40
50 30 50
100 2 3
1 1
2 2
3 3
 
Output
Case 1
1
Case 2
-1
////////// SOLUTION

#include<iostream>
using namespace std;
int S,K,N;
int score[25][25];
int Answer;
int cnt;
int sum;
void BackTrack(int c, int sum, int lastScore){
	if (c == K && sum == S) {cnt++; 
                             return;
                            }
	if (c == K || sum >= S) return;
	for (int r = 0;	r < N; r++)
	{
		if (score[r][c] >= lastScore)
		{
			BackTrack(c+1,sum + score[r][c], score[r][c]);
		}
	}
}

int main(int argc, char** argv)
{
	int test_case;
	int T;
	cin >> T;
	for(test_case = 1; test_case <= T; ++test_case)
	{
		cnt= 0;
		sum = 0;
		cin >> S >> K >> N;

		for (int i = 0; i< N ; i++){
			for (int j = 0; j< K ; j++){
				cin >> score[i][j];
			}
		}

		BackTrack(0,0,0);
		//cnt = cnt == 0 ? -1 : cnt;
		// Print the answer to standard output(screen).
		cout << "Case " << test_case << endl ;
			
		if (cnt == 0)
		{
			cout<<"-1"<<endl;
		}else
		{
			cout<< cnt << endl;
		}
	}
	return 0;//Your program should return 0 on normal termination.
}

Painting
 
The design team at SAMSUNG Electronics considers an innovative design for a new product.
The left figure is the basic diagram and the design team tries to distinguish each area marked by letter of the alphabet with four colors.
When proceeding with this, the design team pursues perfection by researching the combinations of all colors and chooses one of them.
However, they have trouble because they do not know the total number of cases of the color combinations.
Due to this difficulty, you convert the basic diagram on the left to the graph in the center and then you solve the problem by converting it to the adjacency matrix on the right.
The number of cases is 264.
 
What is the method used to solve this?  (Time Limit : 2 seconds)
 
 
[Input]
 
The adjacency matrix about a basic diagram is entered.
On the first line, the number of the test cases (1<=T <= 10) is given.
On the first line of each test case, the size of the matrix n (1<=n <= 30, n is the positive number).
From the second line, the values of matrix are entered by being distinguished as one blank or other.
 
[Output]
 
For each test case, you should print "Case #T" in the first line where T means the case number.
In the second line, print out the total number of cases to paint and distinguish them with four colors for each area.
 
[Sample Input ]
3
4
0 0 0 1
0 0 0 1
0 0 0 1
1 1 1 0
5
0 1 1 1 0
1 0 0 1 1
1 0 0 1 0
1 1 1 0 1
0 1 0 1 0
7
0 1 0 0 1 0 1
1 0 1 0 1 0 0
0 1 0 1 1 0 0
0 0 1 0 1 1 0
1 1 1 1 0 1 1
0 0 0 1 1 0 1
1 0 0 0 1 1 0
 
[Sample Output]
Case #1
108
Case #2
96
Case #3
264
#include <iostream>
using namespace std;

//int dx[6]={1,-1,-1,-1,1,1};
//int dy[6]={0,0,-1,1,1,-1};
int dx[5]={0,0,-1,1,0};
int dy[5]={0,-1,0,0,1};
int kq;
int a[30][30];
int c[30];
int used[30][4];
int dem;
int n;
void backtrack(int k){
	if(k==n) {
		dem++;
		return;
	}
	for(int i=0; i<4; i++){
		used[k][i]=0;
	}
	for(int i=0; i<k; i++){
		if(a[k][i]==1) {
			used[k][c[i]]=1;
		}
	}
	for(int i=0; i<4; i++){
		if(used[k][i]==0){
			c[k]=i;
			backtrack(k+1);
		}
	}

}



int main(){
	//freopen("input.txt", "r", stdin);
	//nhap lieu
	int t; 
	cin>>t;
	for(int tc=1; tc<=t; tc++){
		cout<<"Case #"<<tc<<endl;
		cin>>n;
		for(int i=0; i<n; i++){
			for(int j=0; j<n; j++){
				cin>>a[i][j];
			}
		}
		dem=0;
		backtrack(0);
		
		cout<<dem<<endl;
	}
return 0;
}

Array Game
Có 1 trò chơi với dãy gồm N số như sau:
Mỗi bước đi bạn phải chia mảng thành 2 phần không rỗng sao cho tổng các phần tử bên trái bằng tổng phần tử bên phải. Nếu chia được bạn sẽ được 1 điểm, nếu không chia được trò chơi kết thúc.
Sau mỗi lần chia thành công, bạn phải bỏ 1 trong 2 phần đã chia và tiếp tục trò chơi với phần còn lại.
Cho 1 dãy, hỏi số điểm nhiều nhất mà bạn có thể thu được là bao nhiêu?
Input
Dòng đầu tiên là số lượng test case T (T <= 20).
Dòng đầu tiên của mỗi test case là N (N <= 20,000) là số lượng phần tử của dãy. Dòng tiếp theo là N phần tử của dãy đó.
 
Output
Mỗi test case in ra số điểm nhiều nhất mà có thể thu được
 
Sample
Input
3
3
3 3 3
4
2 2 2 2
7
4 1 0 1 1 0 1
Output
0
2
3
#include <stdio.h>
#include <iostream>

using namespace std;
long long arr[20005];
int maxScore;
int N;

// check case day la 0000000000 -> Score = N-1

// left -> mid; mid + 1- >right

int findMid(int left,int right,long long sum){
	long long half = sum/2;
	long long tempSum = 0;
	int mid;
	for (mid = left; tempSum < half ; mid++)
	{
		tempSum += arr[mid];
	}
	--mid;
	if (tempSum == half) 
        return mid;
	else 
		return -1;

}

//int findMid1(left,right){
//	sum = prefix[right] - prefix[left - 1];
//	half = sum/2;
//	key = prefix[left] + half;
//
//	while (left <= right)
//	{
//		mid = (left + right) /2;
//		if (key == prefix[mid])  return mid;
//		if (key < prefix[mid]) right = mid - 1;
//		else left = mid + 1;
//	}
//	return -1;
//}

void BackTrack(int left ,int right,long long sum,int score){
	if ( left == right || sum%2 == 1)
	{
		if (score > maxScore) 
			maxScore = score;
			return;
	}
	int  mid = findMid(left,right,sum);
	if (mid == -1)
	{
		if (score > maxScore) 
			maxScore = score;
        	return;
	}
	BackTrack(left,mid,sum/2,score+1);
	BackTrack(mid+1,right,sum/2,score+1);
}
int main(){
	int T;
	cin>>T;
		for (int tc = 1; tc <= T; tc++)
		{
			cin>>N;
			long long sum = 0;
			for (int i = 0; i < N; i++)
			{
				cin>>arr[i];
				sum+= arr[i];
			}
			maxScore = 0;
			if (sum == 0)
			{
				cout<<N-1<<endl;
			}else
			{
				BackTrack(0,N-1,sum,0);
				cout<<maxScore<<endl;
			}
		}
	return 0;	
}