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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#114548 | #6644. Red Black Grid | willow# | AC ✓ | 53ms | 59624kb | C++14 | 2.9kb | 2023-06-22 15:43:02 | 2023-06-22 15:43:03 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int maxn = 2e6 + 5;
const int step[4][2] = {{0, 1}, {1, 0}, {0, -1}, {-1, 0}};
int T, n, k, dp[maxn], pre[maxn][5], mp[1005][1005];
vector<pair<int, int> > pos[5];
pair<int, int> val[maxn];
int Solve(int x) {
int tot = 0;
for(int i = 2; i <= 4; ++ i)
pos[i].clear();
for(int i = 1; i <= n; ++ i) {
for(int j = 1; j <= n; ++ j) {
mp[i][j] = (i + j) % 2;
if((i + j) % 2 == x) {
int cnt = 0;
for(int k = 0; k < 4; ++ k) {
int ni = i + step[k][0], nj = j + step[k][1];
if(ni >= 1 && ni <= n && nj >= 1 && nj <= n)
++ cnt;
}
pos[cnt].push_back({i, j});
tot += cnt;
}
}
}
// cerr << tot << endl;
if(k == 1 || k == tot - 1 || k > tot)
return 0;
for(int i = 1; i <= tot; ++ i)
dp[i] = 0;
dp[0] = 1, pre[0][2] = pre[0][3] = pre[0][4] = 0;
int w = 0;
for(int i = 2; i <= 4; ++ i) {
int all = pos[i].size();
for(int bit = 1; bit <= all; bit <<= 1) {
val[++ w] = {bit, i};
all -= bit;
}
if(all) {
val[++ w] = {all, i};
}
}
for(int i = 1; i <= w; ++ i) {
int s = val[i].first * val[i].second;
for(int j = tot; j >= s; -- j) {
if(!dp[j] && dp[j - s]) {
dp[j] = 1;
for(int k = 2; k <= 4; ++ k)
pre[j][k] = pre[j - s][k];
pre[j][val[i].second] += val[i].first;
}
}
}
if(dp[tot - k]) {
for(int i = 2; i <= 4; ++ i) {
// cerr << i << " " << pre[tot - k][i] << endl;
for(int j = 0; j < pre[tot - k][i]; ++ j) {
mp[pos[i][j].first][pos[i][j].second] ^= 1;
}
}
puts("Possible");
for(int i = 1; i <= n; ++ i, puts(""))
for(int j = 1; j <= n; ++ j)
putchar(mp[i][j] ? 'R' : 'B');
return 1;
}
return 0;
}
int ni[20], nj[20], all;
int main() {
for(scanf("%d", &T); T --; ) {
scanf("%d%d", &n, &k);
if(n <= 4) {
all = 0;
for(int i = 1; i <= n; ++ i) {
for(int j = 1; j <= n; ++ j) {
ni[all] = i;
nj[all] = j;
all ++;
}
}
int f = 0;
for(int j = 0; j < 1 << all; ++ j) {
for(int a = 1; a <= n; ++ a)
for(int b = 1; b <= n; ++ b)
mp[a][b] = 0;
for(int k = 0; k < all; ++ k)
if(j >> k & 1)
mp[ni[k]][nj[k]] = 1;
int now = 0;
for(int a = 1; a <= n; ++ a)
for(int b = 1; b <= n; ++ b)
if((a + b) % 2 == 0) {
for(int k = 0; k < 4; ++ k) {
int na = a + step[k][0], nb = b + step[k][1];
if(na >= 1 && na <= n && nb >= 1 && nb <= n && mp[a][b] != mp[na][nb])
++ now;
}
}
if(now == k) {
f = 1;
puts("Possible");
for(int i = 1; i <= n; ++ i, puts(""))
for(int j = 1; j <= n; ++ j)
putchar(mp[i][j] ? 'R' : 'B');
break;
}
}
if(!f) {
puts("Impossible");
}
continue;
}
if(Solve(0)) {
continue;
}
if(Solve(1)) {
continue;
}
puts("Impossible");
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 5736kb
input:
2 3 6 3 1
output:
Possible BRB RBB BBB Impossible
result:
ok correct! (2 test cases)
Test #2:
score: 0
Accepted
time: 39ms
memory: 9776kb
input:
4424 1 0 2 4 2 3 2 2 2 1 2 0 3 12 3 11 3 10 3 9 3 8 3 7 3 6 3 5 3 4 3 3 3 2 3 1 3 0 4 24 4 23 4 22 4 21 4 20 4 19 4 18 4 17 4 16 4 15 4 14 4 13 4 12 4 11 4 10 4 9 4 8 4 7 4 6 4 5 4 4 4 3 4 2 4 1 4 0 5 40 5 39 5 38 5 37 5 36 5 35 5 34 5 33 5 32 5 31 5 30 5 29 5 28 5 27 5 26 5 25 5 24 5 23 5 22 5 21 5...
output:
Possible B Possible BR RB Impossible Possible RB BB Impossible Possible BB BB Possible BRB RBR BRB Impossible Possible RBR BRB RBB Possible BRB RBR BBB Possible RBR BRB BBB Possible BBR RRB BBB Possible BRB RBB BBB Possible BBR RBB BBB Possible RBR BBB BBB Possible BRB BBB BBB Possible RBB BBB BBB I...
result:
ok correct! (4424 test cases)
Test #3:
score: 0
Accepted
time: 43ms
memory: 59624kb
input:
1 1000 0
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #4:
score: 0
Accepted
time: 4ms
memory: 13128kb
input:
1 1000 1
output:
Impossible
result:
ok correct! (1 test case)
Test #5:
score: 0
Accepted
time: 53ms
memory: 59304kb
input:
1 1000 1998000
output:
Possible BRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB...
result:
ok correct! (1 test case)
Test #6:
score: 0
Accepted
time: 4ms
memory: 13056kb
input:
1 1000 1997999
output:
Impossible
result:
ok correct! (1 test case)
Test #7:
score: 0
Accepted
time: 33ms
memory: 59180kb
input:
1 1000 1638091
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #8:
score: 0
Accepted
time: 42ms
memory: 58496kb
input:
1 1000 726743
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #9:
score: 0
Accepted
time: 53ms
memory: 59328kb
input:
1 1000 1159802
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #10:
score: 0
Accepted
time: 46ms
memory: 59584kb
input:
1 1000 1824691
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #11:
score: 0
Accepted
time: 48ms
memory: 59092kb
input:
1 1000 1606348
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #12:
score: 0
Accepted
time: 25ms
memory: 9868kb
input:
100 100 3588 100 16278 100 14222 100 3818 100 16278 100 2672 100 7447 100 5705 100 9385 100 19205 100 16362 100 14175 100 327 100 18201 100 3519 100 14923 100 5358 100 17389 100 8773 100 7611 100 2185 100 3314 100 2358 100 18271 100 9499 100 12584 100 8079 100 16954 100 12620 100 16333 100 7148 100 ...
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (100 test cases)
Test #13:
score: 0
Accepted
time: 45ms
memory: 24512kb
input:
10 280 56983 468 47999 111 964 346 192134 60 3108 348 98521 421 57292 24 310 29 1080 484 17366
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRR...
result:
ok correct! (10 test cases)
Test #14:
score: 0
Accepted
time: 35ms
memory: 22576kb
input:
13 44 3612 468 9437 171 34192 174 33316 121 15295 249 1231 84 9464 170 56598 358 183525 369 42656 29 595 226 74474 296 34671
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRR RRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBR RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRR RRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBR RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRR RRBRBRBRBRBRBRBRBRBRB...
result:
ok correct! (13 test cases)
Test #15:
score: 0
Accepted
time: 26ms
memory: 11592kb
input:
792 43 1432 33 1687 39 1872 49 906 41 27 49 1140 41 2730 39 1350 33 1625 26 986 26 1079 29 377 50 2930 24 536 28 874 44 1659 36 46 26 1199 46 1289 50 1662 48 59 20 90 37 2025 40 1971 31 443 31 511 36 1940 29 1515 21 104 24 432 23 337 38 2222 36 1016 24 786 23 737 50 1728 45 2032 22 183 50 416 44 375...
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (792 test cases)