QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#176257 | #7227. The Magic Square | ucup-team004# | AC ✓ | 0ms | 3864kb | C++20 | 1.6kb | 2023-09-11 13:46:23 | 2023-09-11 13:46:23 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int n;
std::cin >> n;
int m;
for (int i = 1; ; i++) {
if ((i * i >= n && (i * i - n) % 3 == 0) || (i * i - 8 >= n && (i * i - 8 - n) % 3 == 0)) {
m = i;
break;
}
}
std::vector a(m, std::vector<int>(m));
int tot = m * m;
int cur = 0;
if ((tot - n) % 3 != 0) {
cur++;
for (int i = 0; i < 3; i++) {
for (int j = 0; j < 3; j++) {
a[i][j] = cur;
}
}
tot -= 8;
}
for (int i = 0; i + 1 < m; i++) {
for (int j = 0; j + 1 < m; j++) {
if (a[i][j] == 0 && a[i][j + 1] == 0 && a[i + 1][j] == 0 && a[i + 1][j + 1] == 0 && tot > n) {
tot -= 3;
cur++;
a[i][j] = cur;
a[i][j + 1] = cur;
a[i + 1][j] = cur;
a[i + 1][j + 1] = cur;
}
}
}
for (int i = 0; i < m; i++) {
for (int j = 0; j < m; j++) {
if (a[i][j] == 0) {
a[i][j] = ++cur;
}
}
}
if (tot != n) {
std::cout << "Impossible\n";
return 0;
}
std::cout << "Possible\n";
std::cout << m << "\n";
for (int i = 0; i < m; i++) {
for (int j = 0; j < m; j++) {
std::cout << a[i][j] << " \n"[j == m - 1];
}
}
return 0;
}
这程序好像有点Bug,我给组数据试试?
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3628kb
input:
2
output:
Impossible
result:
ok No solution for 2 squares
Test #2:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
4
output:
Possible 2 1 2 3 4
result:
ok answer 4 squares of 1 different sizes in total 2 * 2
Test #3:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
1
output:
Possible 1 1
result:
ok answer 1 squares of 1 different sizes in total 1 * 1
Test #4:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
3
output:
Impossible
result:
ok No solution for 3 squares
Test #5:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
5
output:
Impossible
result:
ok No solution for 5 squares
Test #6:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
6
output:
Possible 3 1 1 2 1 1 3 4 5 6
result:
ok answer 6 squares of 2 different sizes in total 3 * 3
Test #7:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
7
output:
Possible 4 1 1 2 2 1 1 2 2 3 3 4 5 3 3 6 7
result:
ok answer 7 squares of 2 different sizes in total 4 * 4
Test #8:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
8
output:
Possible 4 1 1 1 2 1 1 1 3 1 1 1 4 5 6 7 8
result:
ok answer 8 squares of 2 different sizes in total 4 * 4
Test #9:
score: 0
Accepted
time: 0ms
memory: 3508kb
input:
9
output:
Possible 3 1 2 3 4 5 6 7 8 9
result:
ok answer 9 squares of 1 different sizes in total 3 * 3
Test #10:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
10
output:
Possible 4 1 1 2 2 1 1 2 2 3 4 5 6 7 8 9 10
result:
ok answer 10 squares of 2 different sizes in total 4 * 4
Test #11:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
11
output:
Possible 5 1 1 1 2 2 1 1 1 2 2 1 1 1 3 3 4 5 6 3 3 7 8 9 10 11
result:
ok answer 11 squares of 3 different sizes in total 5 * 5
Test #12:
score: 0
Accepted
time: 0ms
memory: 3508kb
input:
12
output:
Possible 6 1 1 2 2 3 3 1 1 2 2 3 3 4 4 5 5 6 6 4 4 5 5 6 6 7 7 8 8 9 10 7 7 8 8 11 12
result:
ok answer 12 squares of 2 different sizes in total 6 * 6
Test #13:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
13
output:
Possible 4 1 1 2 3 1 1 4 5 6 7 8 9 10 11 12 13
result:
ok answer 13 squares of 2 different sizes in total 4 * 4
Test #14:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
14
output:
Possible 5 1 1 1 2 2 1 1 1 2 2 1 1 1 3 4 5 6 7 8 9 10 11 12 13 14
result:
ok answer 14 squares of 3 different sizes in total 5 * 5
Test #15:
score: 0
Accepted
time: 0ms
memory: 3488kb
input:
15
output:
Possible 6 1 1 2 2 3 3 1 1 2 2 3 3 4 4 5 5 6 6 4 4 5 5 6 6 7 7 8 9 10 11 7 7 12 13 14 15
result:
ok answer 15 squares of 2 different sizes in total 6 * 6
Test #16:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
16
output:
Possible 4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
result:
ok answer 16 squares of 1 different sizes in total 4 * 4
Test #17:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
17
output:
Possible 5 1 1 1 2 3 1 1 1 4 5 1 1 1 6 7 8 9 10 11 12 13 14 15 16 17
result:
ok answer 17 squares of 2 different sizes in total 5 * 5
Test #18:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
18
output:
Possible 6 1 1 2 2 3 3 1 1 2 2 3 3 4 4 5 5 6 6 4 4 5 5 6 6 7 8 9 10 11 12 13 14 15 16 17 18
result:
ok answer 18 squares of 2 different sizes in total 6 * 6
Test #19:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
19
output:
Possible 5 1 1 2 2 3 1 1 2 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
result:
ok answer 19 squares of 2 different sizes in total 5 * 5
Test #20:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
20
output:
Possible 7 1 1 1 2 2 3 3 1 1 1 2 2 3 3 1 1 1 4 4 5 5 6 6 9 4 4 5 5 6 6 7 7 8 8 10 11 12 7 7 8 8 13 14 15 16 17 18 19 20
result:
ok answer 20 squares of 3 different sizes in total 7 * 7
Test #21:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
21
output:
Possible 6 1 1 2 2 3 3 1 1 2 2 3 3 4 4 5 5 6 7 4 4 5 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21
result:
ok answer 21 squares of 2 different sizes in total 6 * 6
Test #22:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
22
output:
Possible 5 1 1 2 3 4 1 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
result:
ok answer 22 squares of 2 different sizes in total 5 * 5
Test #23:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
23
output:
Possible 7 1 1 1 2 2 3 3 1 1 1 2 2 3 3 1 1 1 4 4 5 5 6 6 8 4 4 5 5 6 6 7 7 9 10 11 12 13 7 7 14 15 16 17 18 19 20 21 22 23
result:
ok answer 23 squares of 3 different sizes in total 7 * 7
Test #24:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
24
output:
Possible 6 1 1 2 2 3 3 1 1 2 2 3 3 4 4 5 6 7 8 4 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
result:
ok answer 24 squares of 2 different sizes in total 6 * 6
Test #25:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
25
output:
Possible 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
result:
ok answer 25 squares of 1 different sizes in total 5 * 5
Test #26:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
29
output:
Possible 7 1 1 1 2 2 3 3 1 1 1 2 2 3 3 1 1 1 4 4 5 5 6 7 8 4 4 5 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
result:
ok answer 29 squares of 3 different sizes in total 7 * 7
Test #27:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
31
output:
Possible 7 1 1 2 2 3 3 7 1 1 2 2 3 3 8 4 4 5 5 6 6 9 4 4 5 5 6 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
result:
ok answer 31 squares of 2 different sizes in total 7 * 7
Test #28:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
37
output:
Possible 7 1 1 2 2 3 3 5 1 1 2 2 3 3 6 4 4 7 8 9 10 11 4 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
result:
ok answer 37 squares of 2 different sizes in total 7 * 7
Test #29:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
41
output:
Possible 7 1 1 1 2 3 4 5 1 1 1 6 7 8 9 1 1 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41
result:
ok answer 41 squares of 2 different sizes in total 7 * 7
Test #30:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
43
output:
Possible 7 1 1 2 2 3 4 5 1 1 2 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43
result:
ok answer 43 squares of 2 different sizes in total 7 * 7
Test #31:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
47
output:
Possible 8 1 1 1 2 2 3 3 5 1 1 1 2 2 3 3 6 1 1 1 4 4 7 8 9 10 11 12 4 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
result:
ok answer 47 squares of 3 different sizes in total 8 * 8
Test #32:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
49
output:
Possible 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49
result:
ok answer 49 squares of 1 different sizes in total 7 * 7
Test #33:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
50
output:
Possible 8 1 1 1 2 2 3 3 4 1 1 1 2 2 3 3 5 1 1 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
result:
ok answer 50 squares of 3 different sizes in total 8 * 8
Test #34:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
57
output:
Possible 9 1 1 2 2 3 3 4 4 9 1 1 2 2 3 3 4 4 10 5 5 6 6 7 7 8 8 11 5 5 6 6 7 7 8 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
result:
ok answer 57 squares of 2 different sizes in total 9 * 9
Test #35:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
61
output:
Possible 8 1 1 2 3 4 5 6 7 1 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61
result:
ok answer 61 squares of 2 different sizes in total 8 * 8
Test #36:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
79
output:
Possible 10 1 1 2 2 3 3 4 4 5 5 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 9 10 11 12 13 6 6 7 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79
result:
ok answer 79 squares of 2 different sizes in total 10 * 10
Test #37:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
83
output:
Possible 10 1 1 1 2 2 3 3 4 4 5 1 1 1 2 2 3 3 4 4 6 1 1 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83
result:
ok answer 83 squares of 3 different sizes in total 10 * 10
Test #38:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
87
output:
Possible 12 1 1 2 2 3 3 4 4 5 5 6 6 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 21 22 23 24 25 26 27 28 29 19 19 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 ...
result:
ok answer 87 squares of 2 different sizes in total 12 * 12
Test #39:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
89
output:
Possible 10 1 1 1 2 2 3 4 5 6 7 1 1 1 2 2 8 9 10 11 12 1 1 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89
result:
ok answer 89 squares of 3 different sizes in total 10 * 10
Test #40:
score: 0
Accepted
time: 0ms
memory: 3508kb
input:
90
output:
Possible 12 1 1 2 2 3 3 4 4 5 5 6 6 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 13 13 14 14 15 15 16 16 17 17 18 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 ...
result:
ok answer 90 squares of 2 different sizes in total 12 * 12
Test #41:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
91
output:
Possible 10 1 1 2 2 3 3 4 5 6 7 1 1 2 2 3 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91
result:
ok answer 91 squares of 2 different sizes in total 10 * 10
Test #42:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
92
output:
Possible 10 1 1 1 2 3 4 5 6 7 8 1 1 1 9 10 11 12 13 14 15 1 1 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92
result:
ok answer 92 squares of 2 different sizes in total 10 * 10
Test #43:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
93
output:
Possible 12 1 1 2 2 3 3 4 4 5 5 6 6 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 19 13 13 14 14 15 15 16 16 17 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 ...
result:
ok answer 93 squares of 2 different sizes in total 12 * 12
Test #44:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
94
output:
Possible 10 1 1 2 2 3 4 5 6 7 8 1 1 2 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94
result:
ok answer 94 squares of 2 different sizes in total 10 * 10
Test #45:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
95
output:
Possible 11 1 1 1 2 2 3 3 4 4 5 5 1 1 1 2 2 3 3 4 4 5 5 1 1 1 6 6 7 7 8 9 10 11 12 13 14 6 6 7 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82...
result:
ok answer 95 squares of 3 different sizes in total 11 * 11
Test #46:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
96
output:
Possible 12 1 1 2 2 3 3 4 4 5 5 6 6 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 18 19 20 13 13 14 14 15 15 16 16 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 ...
result:
ok answer 96 squares of 2 different sizes in total 12 * 12
Test #47:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
97
output:
Possible 10 1 1 2 3 4 5 6 7 8 9 1 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97
result:
ok answer 97 squares of 2 different sizes in total 10 * 10
Test #48:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
98
output:
Possible 11 1 1 1 2 2 3 3 4 4 5 5 1 1 1 2 2 3 3 4 4 5 5 1 1 1 6 6 7 8 9 10 11 12 13 14 15 6 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84...
result:
ok answer 98 squares of 3 different sizes in total 11 * 11
Test #49:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
99
output:
Possible 12 1 1 2 2 3 3 4 4 5 5 6 6 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 17 18 19 20 21 13 13 14 14 15 15 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 ...
result:
ok answer 99 squares of 2 different sizes in total 12 * 12
Test #50:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
100
output:
Possible 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 ...
result:
ok answer 100 squares of 1 different sizes in total 10 * 10
Extra Test:
score: 0
Extra Test Passed