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a year ago
897 kB
4
Indexable
#include <iostream>
#define MIN 999999999
using namespace std;
int n, m;
int C[21];
int W[31];
int D[31];
int M[31][31];
int q, Q[31];
int Min;
int res[31];
void backTrack(int k){
if(k == m+1){
int sum1 = 0;
for(int i=1; i<=m; i++){
if(res[i] == 1){
sum1 += W[i];
if(sum1 >= Min)
return;
}
}
bool check[31] = {};
int V[31];
int count = 0;
for(int i=1; i<=q; i++){
for(int j=1; j<=m; j++){
if(res[j] == 1){
for(int l=1; l<=D[j]; l++){
if(Q[i] == M[j][l]){
check[Q[i]] = true;
j=m+1;
l = D[j]+1;
break;
}
}
}
}
}
int sum2 = 0;
for(int i=1; i<=q; i++){
if(check[Q[i]] == false){
sum2 += C[Q[i]];
}
}
Min = min(Min, sum1 + sum2);
return;
}
for(int i=0; i<2; i++){
res[k] = i;
backTrack(k+1);
}
}
int main(){
freopen("vao.txt", "r", stdin);
int t;
cin >> t;
for(int tc=1; tc<=t; tc++){
cin >> n;
for(int i=1; i<=n; i++){
cin >> C[i];
}
cin >> m;
for(int j=1; j<=m; j++){
cin >> W[j] >> D[j];
for(int k=1; k<= D[j]; k++){
cin >> M[j][k];
}
}
cin >> q;
for(int i=1; i<=q; i++){
cin >> Q[i];
}
Min = MIN;
backTrack(1);
cout << "#" << tc << " " << Min << endl;
}
return 0;
}
50
5 15
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32 38
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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
Case #1
5
Case #2
3
Case #3
3
Case #4
5
Case #5
5
Case #6
5
Case #7
4
Case #8
3
Case #9
6
Case #10
4
Case #11
4
Case #12
3
Case #13
5
Case #14
5
Case #15
5
Case #16
5
Case #17
5
Case #18
5
Case #19
5
Case #20
2
Case #21
4
Case #22
6
Case #23
3
Case #24
5
Case #25
3
Case #26
5
Case #27
5
Case #28
4
Case #29
4
Case #30
5
Case #31
4
Case #32
4
Case #33
4
Case #34
3
Case #35
4
Case #36
3
Case #37
impossible
Case #38
impossible
Case #39
4
Case #40
4
Case #41
2
Case #42
5
Case #43
5
Case #44
3
Case #45
3
Case #46
5
Case #47
5
Case #48
4
Case #49
impossible
Case #50
0
1
5
20 15 17 18 25
4
30 3 1 2 5
25 2 2 3
35 3 1 3 5
20 2 3 4
3 2 4 5
#1 176
#2 85
#3 80
#4 154
#5 3
#6 189
#7 99
#8 97
#9 209
#10 200
#11 79
#12 1
#13 197
#14 185
#15 23
#16 87
#17 29
#18 11
#19 140
#20 78
#21 211
#22 221
#23 120
#24 61
#25 91
#26 514
#27 180
#28 300
#29 165
#30 92
#31 165
#32 159
#33 173
#34 514
#35 628
#36 261
#37 171
#38 230
#39 55
#40 362
#41 26
#42 361
#43 122
#44 126
#45 465
#46 259
#47 72
#48 332
#49 280
#50 236
Nâng cấp máy tính
Time limit: 1 giây với C/C++, 2 giây với Java.
Submission limit: 5 lần.
Memory limit: 256MB cho tổng cộng các vùng nhớ heap, global và static (chỉ 1MB cho vùng nhớ stack).
Anh Kim có 1 máy tính đã mua từ thời sinh viên nên hiện giờ cần phải nâng cấp và thay thế L linh kiện để đảm bảo máy tính hoạt động tốt.
Để tìm mua được các thiết bị đó với giá tốt nhất anh Kim đã qua chợ Trời và tham khảo được giá của tất cả N thiết bị của máy tính.
Không chỉ thế, anh đã tìm kiếm thêm trên mạng, và anh rất vui khi có M gói ưu đãi giá rẻ được rao bán trên mạng, mỗi gói có giá bán là P bao gồm K thiết bị của máy tính.
Anh Kim có thể mua một hoặc nhiều gói ưu đãi và có thể mua thừa linh kiện chưa cần thay thế.
Hãy giúp anh Kim mua được đủ L thiết bị cần thiết với tổng giá thành là nhỏ nhất.
Input
Dòng đầu tiên là số lượng test case T (T <= 50).
Mỗi test case gồm các thông tin sau:
- Dòng đầu tiên là số nguyên dương N (1 <= N <= 20) là số lượng thiết bị chính của máy tính.
- Dòng thứ 2 bao gồm N số, số thứ i tương ứng là giá của thiết bị thứ i được bán ở chợ Trời.
- Dòng thứ 3 là số nguyên dương M ( 0 <= M <= 30) là số lượng gói ưu đãi có trên mạng.
- M dòng tiếp theo, mỗi dòng thứ i là thông tin về gói ưu đãi thứ i. Số đầu tiên là giá của gói ưu đãi P ( 1 <= P <= 1000), số tiếp theo là số lượng thiết bị K ( 1 <= K< = N) trong gói ưu đãi đó,
K số tiếp theo là các thiết bị có trong gói ưu đãi đó.
- Dòng cuối cùng của mỗi test case là thông tin về các thiết bị mà anh Kim cần mua. Số đầu tiên là số lượng thiết bị L, L số tiếp theo là các thiết bị anh Kim cần mua
- Các thiết bị được đánh số trong đoạn từ 1 đến N và không có số nào trùng nhau
Output
Bắt đầu mỗi test case là "#x" với x là số thứ tự của test case (bắt đầu từ 1), tiếp theo là một dấu cách và giá thành nhỏ nhất mà anh Kim cần bỏ ra để mua đủ những thiết bị anh cần.
Sample
Input
1 <-- T = 1,
5 <-- Số linh kiện chính của máy tính
20 15 17 18 25 <-- giá chợ Trời của 5 thiết bị từ 1 đến 5 tương ứng
4 <-- 4 gói ưu đãi trên mạng
30 3 1 2 5 <-- gói thứ nhất có giá 30, gồm 3 linh kiện 1, 2, 5
25 2 2 3 <-- gói thứ 2 có giá 25, gồm 2 linh kiện 2, 3
35 3 1 3 5 <-- gói thứ 3 có giá 35, gồm 3 linh kiện 1, 3, 5
20 2 3 4 <-- gói thứ 4 có giá 20, gồm 2 linh kiện 3, 4
3 2 4 5 <-- Số lượng anh Kim cần là 3, lần lượt là 2, 4, 5
Output
#1 48
Giải thích: Để mua được 3 thiết bị 2, 4, 5 với giá rẻ nhất, ta sẽ mua gói giá rẻ 1 gồm 1, 2, 5 với giá 30 và mua thiết bị 4 ở chợ Trời với giá 18, tổng là 30 + 18 = 48.
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
50
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
9 15
2 0 2 2 0 2 0 0 2 0 0 0 0 0 2
0 2 2 2 0 0 0 0 0 2 0 1 0 0 2
2 0 0 1 2 0 3 0 1 0 0 0 0 2 0
2 0 0 2 2 0 0 0 0 0 0 0 0 0 0
0 2 0 0 0 0 0 0 0 0 0 0 2 0 1
2 0 0 0 0 0 0 0 2 0 2 0 0 0 0
0 0 2 2 0 0 0 0 0 0 0 0 0 2 0
0 0 0 2 0 0 0 0 2 0 0 0 1 0 0
2 0 0 0 2 0 1 2 2 0 0 0 0 0 2
14 32
0 0 0 2 0 1 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2
0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 0 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0
0 0 2 0 0 0 2 2 2 0 0 0 0 2 0 0 0 3 0 0 2 0 2 0 0 2 0 0 0 0 0 2
0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 2 0 0 0 0 0 0 2 0
0 0 2 1 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 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 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2
0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0
0 0 0 0 0 2 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 2 2 0 0 0 0 0 2 0 0 2 2 0 0 2 0 0 2 2 0 0 2 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 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0
2 2 2 0 0 0 0 0 2 0 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2
0 2 0 0 0 2 0 0 0 2 0 0 1 0 0 2 0 0 0 1 0 0 0 0 0 2 0 0 0 0 0 0
0 2 2 0 0 2 0 0 2 0 2 1 0 2 0 0 1 0 0 0 2 2 0 0 0 2 2 2 0 0 2 0
14 42
0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 3 0 2 0 2 0 0 0 0 2
0 0 0 0 0 2 2 2 0 0 0 2 0 2 0 0 0 0 0 2 0 2 0 0 0 1 0 2 1 2 0 0 0 0 0 0 0 0 0 2 2 1
0 0 0 1 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 2 2 1 0 0 2 0 0 0 2 0 2
0 0 2 0 0 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 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 2 0 0 0 0 2 0 0 2 0 0 0 2 0 0 0 0
2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 0 0 2 0 0 0
0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 0 0 0
0 0 0 2 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2
0 0 0 2 0 0 0 2 1 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2
0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 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 2 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 0 0 1 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 2 0 2 0 0 2 0 0 0 0 0
2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 0
16 22
0 2 0 0 0 1 2 0 0 0 1 2 0 0 2 0 2 0 2 0 2 0
0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 2 0 0 0 2
1 0 0 2 0 2 0 2 2 0 0 0 0 0 0 2 0 0 2 0 0 2
2 0 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0
0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0
2 0 0 0 2 2 2 0 0 2 0 2 0 0 2 0 2 0 0 0 0 2
2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 2 0
2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0
2 0 0 2 0 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 2
0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2
2 2 0 0 2 0 2 1 0 3 0 0 1 2 0 0 0 2 0 1 0 0
0 0 0 2 0 2 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 1
2 2 0 0 2 0 2 0 0 2 0 0 2 2 1 0 2 0 0 0 2 0
0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2
2 2 0 2 0 0 0 2 0 1 0 0 0 2 0 2 0 0 0 0 0 0
0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0
16 44
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 2 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 2 0 0 0 2 2 0 2 0 0 2 0 2 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 2 0 2 0 0 0 0 0 2 0 0 0 2 2 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0
0 0 0 0 0 1 2 0 0 0 0 0 2 0 2 0 0 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 2 2 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2
0 0 2 0 0 0 0 0 2 0 0 0 2 2 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 0 0
0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 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 0
0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 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 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0
0 0 0 0 2 2 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 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 0 0 0 2 2 2 0 3 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 2 0 2 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 2 0 0 2 0 2 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 2 0 0 0 0 0 0 0
2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2
0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0 2 0 1 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0
2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0
19 37
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 2 0 0 0 0 2 2 0 0 0 0
0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0
0 0 0 2 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0
0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0
2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 2 2 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 0 0 0 0 2 0 0 0 0 0 2 0 0 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0
0 0 0 0 0 2 2 0 2 0 0 0 0 2 0 0 2 2 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 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 2 2
0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 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 2 0 0 0 0 0 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 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0
0 0 0 2 0 0 0 0 0 0 0 1 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 2 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 2 0 2 0 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0
0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0
0 2 0 0 0 2 0 0 0 0 2 2 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 2 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 0 2 0 0 3 0 0
0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0
21 21
0 0 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 0 0
2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2
0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 2
0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0
2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0
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24 32
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27 33
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31 48
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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
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
50
15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 1 1 0 0 1 1 0 0 1 1
0 0 0 0 1 0 1 1 0 0 0 0 0 1 0
0 1 0 0 1 1 0 1 0 1 0 1 0 1 1
0 0 1 1 0 1 1 0 0 1 1 1 1 1 1
0 1 0 1 1 0 0 1 0 0 1 1 1 0 0
0 1 1 0 1 0 0 0 0 1 1 1 0 0 0
0 0 1 1 0 1 0 0 0 1 0 0 0 1 1
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 1 0 1 1 0 1 1 0 0 1 0 0 1 0
0 1 0 0 1 1 1 0 1 1 0 0 0 0 0
0 0 0 1 1 1 1 0 0 0 0 0 1 0 0
0 0 0 0 1 1 0 0 0 0 0 1 0 0 1
0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
0 1 0 1 1 0 0 1 0 0 0 0 1 1 0
15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 1 0 0 1 0 0 1 0 1 0 0
0 0 0 0 0 0 1 0 0 0 0 1 0 0 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 1 1 1 1 1 0 1 1 1 0
0 0 0 0 1 0 0 1 0 0 1 0 0 1 1
0 0 1 0 1 0 0 0 0 0 1 1 1 0 0
0 1 0 0 1 1 0 0 1 1 1 0 1 1 0
0 0 0 0 1 0 0 1 0 0 1 1 0 1 0
0 0 0 0 1 0 0 1 0 0 1 0 0 1 0
0 1 0 0 0 1 1 1 1 1 0 1 1 0 1
0 0 1 0 1 0 1 0 1 0 1 0 1 1 0
0 1 0 0 1 0 1 1 0 0 1 1 0 1 0
0 0 0 0 1 1 0 1 1 1 0 1 1 0 0
0 0 1 0 0 1 0 0 0 0 1 0 0 0 0
18
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0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 0 0 0
0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0
0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 0 0
15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 1 1 0 0 1 1 0 1 1 1
0 1 0 1 1 0 0 0 0 1 0 1 0 0 1
0 1 1 0 0 0 1 1 0 0 1 1 1 0 1
0 0 1 0 0 1 1 1 1 0 1 0 1 0 1
0 1 0 0 1 0 0 0 0 0 0 1 1 0 1
0 1 0 1 1 0 0 1 1 0 0 0 0 0 0
0 0 0 1 1 0 1 0 1 1 1 0 1 0 1
0 0 0 0 1 0 1 1 0 1 0 0 1 1 0
0 1 1 0 0 0 0 1 1 0 0 1 0 1 1
0 1 0 1 1 0 0 1 0 0 0 1 1 1 1
0 0 1 1 0 1 0 0 0 1 1 0 1 0 0
0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
0 1 0 0 0 0 0 0 1 1 1 0 0 0 0
0 1 1 1 1 1 0 1 0 1 1 0 0 0 0
15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 0 0 0 0 1 0 1
0 0 0 1 1 0 0 1 1 1 0 1 1 0 0
0 0 1 0 0 0 1 0 1 1 0 0 1 0 0
0 0 1 0 0 0 1 0 0 0 1 1 1 1 0
0 0 0 0 0 0 0 0 1 1 0 0 0 0 1
0 0 0 1 1 0 0 1 0 1 0 0 0 1 1
0 1 1 0 0 0 1 0 1 1 1 0 1 0 1
0 0 1 1 0 1 0 1 0 0 1 0 1 0 1
0 0 1 1 0 1 1 1 0 0 1 1 0 1 1
0 0 0 0 1 0 0 1 1 1 0 1 1 0 0
0 0 1 0 1 0 0 0 0 1 1 0 0 0 0
0 1 1 1 1 0 0 1 1 0 1 0 0 1 0
0 0 0 0 1 0 1 0 0 1 0 0 1 0 1
0 1 0 0 0 1 1 1 1 1 0 0 0 1 0
16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 0 1 0 1 0 0 1 1 1 1 0
0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1
0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0
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0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 1
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0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 1
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0 0 0 0 0 0 1 0 1 0 0 0 0 0 0
18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1
0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1
0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0
0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0
0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0
0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 0
0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0
0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0
0 0 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1
0 1 0 1 0 1 0 1 1 0 0 1 0 0 1 0 0 0
0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0
0 0 1 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1
0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0
0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 1
0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1
0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1
0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0
17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0
0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1
0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 1
0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0
0 0 1 0 0 0 0 0 1 1 1 0 1 1 1 1 1
0 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 0
0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1
0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1
0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0
0 1 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0
0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0
0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1
0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1
0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 1
0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0
0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 0 0
16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 1 0 0 1 0 1 0 1 0 0 0
0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1
0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 1
0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0
0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 1
0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1
0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0
0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0
0 0 1 0 0 1 0 0 1 0 1 1 1 0 0 0
0 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0
0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1
0 1 0 0 0 1 0 1 1 1 1 1 0 0 0 1
0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1
0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0
0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0
16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1
0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0
0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1
0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1
0 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1
0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1
0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1
0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1
0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0
0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1
0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0
0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0
0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1
0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 0
0 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0
17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1
0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0
0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0
0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1
0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 0 1
0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1
0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 1
0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1
0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1
0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1
0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0
0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1
0 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 0
0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 0 1
0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0
0 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 0
16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 0
0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 1
0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0
0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0
0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1
0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1
0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 0
0 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0
0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 0
0 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0
0 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1
0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0
0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1
0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0
0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 0
15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 1 0 1 1 0 0 1 1 1 1
0 1 0 1 0 1 1 1 0 0 0 0 0 0 0
0 1 1 0 1 0 1 1 0 0 0 0 1 1 1
0 0 0 1 0 0 1 0 1 0 1 1 0 0 1
0 1 1 0 0 0 0 1 0 0 1 0 1 1 0
0 0 1 1 1 0 0 0 1 0 1 0 0 0 0
0 1 1 1 0 1 0 0 0 0 0 0 0 0 0
0 1 0 0 1 0 1 0 0 1 1 1 1 0 0
0 0 0 0 0 0 0 0 1 0 1 0 0 1 0
0 0 0 0 1 1 1 0 1 1 0 1 0 0 1
0 1 0 0 1 0 0 0 1 0 1 0 1 0 0
0 1 0 1 0 1 0 0 1 0 0 1 0 0 1
0 1 0 1 0 1 0 0 0 1 0 0 0 0 0
0 1 0 1 1 0 0 0 0 0 1 0 1 0 0
16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 1 1 0 0 1 0 0 0 0 1 0
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1
0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1
0 1 0 1 0 0 0 0 1 1 0 1 0 0 1 0
0 1 0 0 0 0 0 1 0 1 1 0 0 1 0 0
0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0
0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1
0 1 0 0 0 1 1 1 1 0 0 0 1 1 0 0
0 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0
0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0
0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0
0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0
0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0
0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0
16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1
0 0 0 1 0 1 0 1 0 1 1 0 0 1 1 0
0 0 1 0 1 0 0 0 1 0 1 1 0 0 1 0
0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0
0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0
0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0
0 1 1 0 1 0 0 0 1 1 1 0 1 0 0 1
0 1 0 1 1 1 1 1 0 0 0 1 0 0 1 0
0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1
0 1 1 1 1 1 1 1 0 0 0 1 0 0 1 0
0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1
0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0
0 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0
0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0
0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0
15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 0 0 1 0 0 0 1 1 0 0
0 1 0 1 0 1 1 0 0 0 1 0 1 0 1
0 0 1 0 1 1 1 0 0 1 0 0 1 0 1
0 0 0 1 0 0 0 1 0 1 0 1 1 0 0
0 0 1 1 0 0 0 1 0 0 0 1 1 0 1
0 0 1 1 0 0 0 1 1 0 1 1 1 0 0
0 1 0 0 1 1 1 0 1 0 0 1 1 0 0
0 0 0 0 0 0 1 1 0 0 0 1 0 1 1
0 0 0 1 1 0 0 0 0 0 0 1 0 1 0
0 0 1 0 0 0 1 0 0 0 0 0 1 1 0
0 1 0 0 1 1 1 1 1 1 0 0 0 1 0
0 1 1 1 1 1 1 1 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1 1 1 1 0 0 0
0 0 1 1 0 1 0 0 1 0 0 0 0 0 0
15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 1 1 1 1 0 0 1 1 1 1 0
0 1 0 0 0 0 0 1 1 0 0 0 1 1 0
0 0 0 0 0 1 0 0 0 0 0 1 0 1 1
0 1 0 0 0 1 0 0 1 0 1 0 1 1 0
0 1 0 1 1 0 0 1 1 1 0 0 0 1 1
0 1 0 0 0 0 0 1 1 0 1 0 0 0 1
0 1 1 0 0 1 1 0 0 0 0 1 0 1 0
0 0 1 0 1 1 1 0 0 1 0 1 1 1 1
0 0 0 0 0 1 0 0 1 0 1 0 0 0 1
0 1 0 0 1 0 1 0 0 1 0 0 0 0 1
0 1 0 1 0 0 0 1 1 0 0 0 1 0 1
0 1 1 0 1 0 0 0 1 0 0 1 0 0 1
0 1 1 1 1 1 0 1 1 0 0 0 0 0 0
0 0 0 1 0 1 1 0 1 1 1 1 1 0 0
18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0
0 1 0 0 0 1 1 1 0 0 0 1 0 1 0 1 1 1
0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0
0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0
0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0
0 1 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0
0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1
0 1 0 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0
0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0
0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 0
0 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 0 1
0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0
0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0
0 1 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0
15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 0 1 0 1 0 0 1 0 0 1
0 0 0 0 1 1 0 0 0 1 0 1 1 1 0
0 1 0 0 0 0 1 0 0 1 1 0 0 1 0
0 0 1 0 0 0 1 0 0 1 0 0 1 0 1
0 0 1 0 0 0 1 0 1 1 1 0 1 1 0
0 1 0 1 1 1 0 1 0 1 1 1 0 0 0
0 0 0 0 0 0 1 0 0 0 1 0 0 1 1
0 1 0 0 0 1 0 0 0 1 0 1 0 1 1
0 0 1 1 1 1 1 0 1 0 1 0 0 1 0
0 0 0 1 0 1 1 1 0 1 0 1 1 1 1
0 1 1 0 0 0 1 0 1 0 1 0 0 0 0
0 0 1 0 1 1 0 0 0 0 1 0 0 1 0
0 0 1 1 0 1 0 1 1 1 1 0 1 0 0
0 1 0 0 1 0 0 1 1 0 1 0 0 0 0
16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1
0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0
0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 0
0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 0
0 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1
0 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0
0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0
0 0 1 0 0 1 1 1 0 0 1 1 0 0 0 0
0 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1
0 1 1 0 0 1 1 0 1 0 0 1 1 0 1 0
0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1
0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0
0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0
0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 1
0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0
18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 1 1 0
0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1
0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0
0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1
0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1
0 0 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1
0 1 0 1 1 0 1 0 0 0 1 1 0 0 1 0 1 1
0 1 1 1 0 1 0 0 0 1 0 0 1 0 0 1 1 0
0 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 0
0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0
0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0
0 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 1 1
0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0
0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 1
0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0
0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0
16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 1 0 0 0 0 1 1 0 1 1 1
0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1
0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0
0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0
0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0
0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 1 1 0 0 0 1 0 1 0 1 0 1
0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0
0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0
0 1 0 0 1 0 1 0 1 0 1 0 1 1 0 1
0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0
0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 1
0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1
0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0
#include <iostream>
using namespace std;
int n;
int arr[31][31];
int dd[31];
int dem;
bool check(int i){
for(int j=0; j<n; j++){
if(arr[i][j] == 1 && dd[i] == dd[j])
return false;
}
return true;
}
void backTrack(int i){
if(i == n){
dem++;
return;
}
for(int j=1; j<=4; j++){
dd[i] = j;
if(check(i))
backTrack(i+1);
dd[i] = 0;
}
}
int main(){
//freopen("vao.txt", "r", stdin);
int t;
cin >> t;
for(int tc=1; tc<=t; tc++){
cin >> n;
for(int i=0; i<n; i++){
for(int j=0; j<n; j++){
cin >> arr[i][j];
}
}
dem = 0;
for(int i=0; i<n; i++){
dd[i] = 0;
}
backTrack(0);
cout << "Case #" << tc << endl;
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
Cover rectangle with dominos
You are given 28 different types of domino, each domino has size of 1x2 with 2 numbers on it as follow
And a board of size 7x8, your task is cover the board with above dominos such that a domino can only be placed on two adjacent squares on board if the numbers of the squares and of domino are equal.
How many different way to cover the board?
For example if the board are given as below, there are 18 way to cover it, one of them is as below.
Input
The first line is the number of test case T (T < = 50).
Each test case will be given on 7 lines, each line have 8 numbers separate by a space is the board for the test case. It have a empty line between 2 test cases.
Output
Print each test case on two lines, the first line is "Case #x", where x is the test case number, the next line is the numbers of different way to cover the board.
Sample
Input
2
6 1 6 5 3 2 5 0
6 6 0 1 6 0 4 4
2 2 3 6 5 5 1 5
1 2 0 4 4 3 4 2
5 2 1 1 4 1 3 0
3 3 0 2 3 5 2 6
1 3 4 6 4 5 0 0
6 6 6 0 1 4 6 3
2 5 3 3 3 5 5 4
0 0 4 3 3 1 2 4
4 4 2 0 5 5 3 0
0 1 2 2 6 1 2 1
4 6 2 6 5 6 0 4
5 0 5 1 1 1 2 3
...
Output
Case #1
32
Case #2
24