QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#127898 | #6644. Red Black Grid | oreoioiwy | AC ✓ | 28ms | 7684kb | C++17 | 5.8kb | 2023-07-20 11:14:34 | 2023-07-20 11:14:36 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
// #define tpyeinput int
// inline char nc() {static char buf[1000000],*p1=buf,*p2=buf;return p1==p2&&(p2=(p1=buf)+fread(buf,1,1000000,stdin),p1==p2)?EOF:*p1++;}
// inline void read(tpyeinput &sum) {char ch=nc();sum=0;while(!(ch>='0'&&ch<='9')) ch=nc();while(ch>='0'&&ch<='9') sum=(sum<<3)+(sum<<1)+(ch-48),ch=nc();}
template<typename T>
void read(T &x) {
int f = 1;
x = 0;
char ch = getchar();
while (ch < '0' || ch > '9') {
if (ch == '-')f = -1;
ch = getchar();
}
while (ch >= '0' && ch <= '9') {
x = x * 10 + (ch ^ 48);
ch = getchar();
}
x *= f;
}
const int N = 1e3+10, M = 2*N;
int n, k;
int g[N][N];
int mv[4][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}};
bool check(int t) {
for(int i = 0; i < n; i++) {
for(int j = 0; j < n; j++) {
if(t>>(i*n+j)&1) g[i+1][j+1] = 1;
else g[i+1][j+1] = 0;
}
}
int cnt = 0;
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
for(int k = 0; k < 4; k++) {
int nx = i+mv[k][0], ny = j+mv[k][1];
if(nx < 1 || nx > n || ny < 1 || ny > n) continue;
if(g[i][j] != g[nx][ny]) cnt++;
}
}
}
return cnt == 2*k;
}
bool verify() {
int cnt = 0;
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
for(int k = 0; k < 4; k++) {
int nx = i+mv[k][0], ny = j+mv[k][1];
if(nx < 1 || nx > n || ny < 1 || ny > n) continue;
if(g[i][j] != g[nx][ny]) cnt++;
}
}
}
// printf("%d\n", cnt/2);
if(cnt != 2*k) {
printf("NO: %d %d - %d\n", n, k, cnt/2);
}
return cnt == 2*k;
}
void solve() {
read(n), read(k);
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
g[i][j] = 0;
}
}
if(k == 1 || k == 2*n*(n-1)-1) {
puts("Impossible");
return;
}
bool flag = false;
if(n <= 3) {
int cnt = 0;
for(int i = 0; i <= (1<<(n*n)); i++) {
if(check(cnt+i)) {
flag = true;
break;
}
}
if(flag) {
puts("Possible");
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
printf("%c", g[i][j] ? 'R' : 'B');
}
puts("");
}
return;
}
else {
puts("Impossible");
return;
}
// verify();
return;
}
int cnt = k;
for(int i = 2; i < n; i++) {
for(int j = i&1 ? 3 : 2; j < n; j+=2) {
int mark = 0;
if(i > 1 && i < n && j > 1 && j < n)
mark = 4;
if(cnt == mark+1 || cnt < mark) {
break;
}
cnt -= mark;
g[i][j] = 1;
// printf("%d %d: %d %d\n", i, j, mark, cnt);
}
}
if(cnt == 1) {
g[2][2] = 0;
cnt += 4;
}
if(cnt == 2) {
g[1][1] = 1;
cnt -= 2;
}
else if(cnt == 3) {
g[1][3] = 1;
cnt -= 3;
}
else if(cnt == 5) {
g[1][1] = g[1][3] = 1;
cnt -= 5;
}
if(cnt == 0) {
puts("Possible");
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
printf("%c", g[i][j] ? 'R' : 'B');
}
puts("");
}
return;
}
// printf("%d\n", cnt);
for(int j = 3; j < n; j+=2) {
if(cnt < 3 || cnt == 4) break;
g[1][j] = 1;
cnt -= 3;
}
for(int i = 3; i < n; i+=2) {
if(cnt < 3 || cnt == 4) break;
g[i][1] = 1;
cnt -= 3;
}
for(int j = n&1 ? 3 : 2; j < n; j+=2) {
if(cnt < 3 || cnt == 4) break;
g[n][j] = 1;
cnt -= 3;
}
for(int i = n&1 ? 3 : 2; i < n; i+=2) {
if(cnt < 3 || cnt == 4) break;
g[i][n] = 1;
cnt -= 3;
}
// printf("%d\n", cnt);
if(cnt == 2 || cnt == 1) {
g[1][1] = 1;
cnt -= 2;
}
else if(cnt == 4 || cnt == 3) {
g[1][1] = 1;
if(n&1)
g[n][1] = 1;
else
g[n][n] = 1;
cnt -= 4;
}
else if(cnt == 6 || cnt == 5) {
g[1][1] = g[1][n] = g[n][n] = 1;
cnt -= 6;
}
else if(cnt == 8 || cnt == 7) {
g[1][1] = g[1][n] = g[n][1] = g[n][n] = 1;
cnt -= 8;
}
if(cnt == 0) {
puts("Possible");
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
printf("%c", g[i][j] ? 'R' : 'B');
}
puts("");
}
return;
}
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
if(g[i][j] == 1) continue;
int cnt0 = 0, cnt1 = 0;
for(int k = 0; k < 4; k++) {
int nx = i+mv[k][0], ny = j+mv[k][1];
if(nx < 1 || nx > n || ny < 1 || ny > n) continue;
if(g[nx][ny]) cnt1++;
else cnt0++;
}
int d = cnt0-cnt1;
if(d == cnt){
g[i][j] = 1;
cnt = 0;
break;
}
}
}
puts("Possible");
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
printf("%c", g[i][j] ? 'R' : 'B');
}
puts("");
}
// verify();
}
int main() {
#ifdef LOCAL_TEST
freopen("test.in", "r", stdin);
#endif
int times = 1;
read(times);
while(times--) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3448kb
input:
2 3 6 3 1
output:
Possible BRB RBB BBB Impossible
result:
ok correct! (2 test cases)
Test #2:
score: 0
Accepted
time: 22ms
memory: 3740kb
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: 28ms
memory: 7428kb
input:
1 1000 0
output:
Possible BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB...
result:
ok correct! (1 test case)
Test #4:
score: 0
Accepted
time: 2ms
memory: 7468kb
input:
1 1000 1
output:
Impossible
result:
ok correct! (1 test case)
Test #5:
score: 0
Accepted
time: 28ms
memory: 7616kb
input:
1 1000 1998000
output:
Possible RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBR...
result:
ok correct! (1 test case)
Test #6:
score: 0
Accepted
time: 1ms
memory: 7372kb
input:
1 1000 1997999
output:
Impossible
result:
ok correct! (1 test case)
Test #7:
score: 0
Accepted
time: 24ms
memory: 7412kb
input:
1 1000 1638091
output:
Possible BBRBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB...
result:
ok correct! (1 test case)
Test #8:
score: 0
Accepted
time: 17ms
memory: 7684kb
input:
1 1000 726743
output:
Possible BBRBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB...
result:
ok correct! (1 test case)
Test #9:
score: 0
Accepted
time: 24ms
memory: 7408kb
input:
1 1000 1159802
output:
Possible RBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB...
result:
ok correct! (1 test case)
Test #10:
score: 0
Accepted
time: 28ms
memory: 7420kb
input:
1 1000 1824691
output:
Possible BBRBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB...
result:
ok correct! (1 test case)
Test #11:
score: 0
Accepted
time: 18ms
memory: 7628kb
input:
1 1000 1606348
output:
Possible BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB...
result:
ok correct! (1 test case)
Test #12:
score: 0
Accepted
time: 24ms
memory: 3852kb
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 BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB BRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBB BBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBR...
result:
ok correct! (100 test cases)
Test #13:
score: 0
Accepted
time: 25ms
memory: 6576kb
input:
10 280 56983 468 47999 111 964 346 192134 60 3108 348 98521 421 57292 24 310 29 1080 484 17366
output:
Possible BBRBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB BRBRBRBRBR...
result:
ok correct! (10 test cases)
Test #14:
score: 0
Accepted
time: 17ms
memory: 5700kb
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 BBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB BRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBB RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB BRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBB RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB BRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBB RBRBRBRBRBRBRBRBRBRBR...
result:
ok correct! (13 test cases)
Test #15:
score: 0
Accepted
time: 22ms
memory: 3928kb
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 BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB BRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB BBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBB BRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB BBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBB BRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB BBRBRBRBRBRBRBRBRBRBRBRBRBR...
result:
ok correct! (792 test cases)