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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#808654 | #1995. Sprinklers 2: Return of the Alfalfa | makrav | 100 ✓ | 99ms | 38960kb | C++20 | 2.0kb | 2024-12-10 23:11:43 | 2024-12-10 23:11:43 |
Judging History
answer
#include <bits/stdc++.h>
#include <cassert>
using namespace std;
using ll = long long;
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
#define pb push_back
#define ff first
#define sc second
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
template<typename T>
void shuf(vector<T>& a) {
for (int i = 1; i < sz(a); i++) swap(a[i], a[rnd() % (i + 1)]);
}
int dp[2001][2001][2];
const int mod = 1e9 + 7;
int sum(int x, int y) {return (x + y >= mod ? x + y - mod : x + y);}
int mul(int x, int y) {return (x * 1ll * y) % mod;}
int diff(int x, int y) {return (x - y < 0 ? x - y + mod : x - y);}
int rev2 = (mod + 1) / 2;
void solve() {
int n; cin >> n;
vector<string> s(n);
for (int i = 0; i < n; i++) cin >> s[i];
int ans = 1;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
if (s[i][j] == '.') ans = mul(ans, 2);
}
}
dp[0][1][0] = dp[1][0][1] = ans;
for (int sm = 2; sm <= 2 * n; sm++) {
for (int i = 0; i <= n; i++) {
if (sm - i < 0 || sm - i > n) continue;
int j = sm - i;
if (i > 0) {
dp[i][j][1] = sum(dp[i][j][1], dp[i - 1][j][1]);
if (j > 0 && s[i - 1][j - 1] != 'W') dp[i][j][1] = sum(dp[i][j][1], mul(dp[i - 1][j][0], rev2));
}
if (j > 0) {
dp[i][j][0] = sum(dp[i][j][0], dp[i][j - 1][0]);
if (i > 0 && s[i - 1][j - 1] != 'W') dp[i][j][0] = sum(dp[i][j][0], mul(dp[i][j - 1][1], rev2));
}
}
}
cout << sum(dp[n][n][0], dp[n][n][1]) << '\n';
}
signed main() {
int tt = 1;
#ifdef LOCAL
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
cin >> tt;
#else
ios::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
#endif
while (tt--) {
solve();
}
return 0;
}
Details
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Pretests
Final Tests
Test #1:
score: 6.25
Accepted
time: 1ms
memory: 3600kb
input:
2 .. ..
output:
28
result:
ok single line: '28'
Test #2:
score: 6.25
Accepted
time: 1ms
memory: 3648kb
input:
4 ..W. ..WW WW.. ...W
output:
2304
result:
ok single line: '2304'
Test #3:
score: 6.25
Accepted
time: 1ms
memory: 3688kb
input:
7 .WWWW.. W.WWWWW W.WW.W. WWWWWWW WWW.WWW WWWWWWW WW.WWW.
output:
1088
result:
ok single line: '1088'
Test #4:
score: 6.25
Accepted
time: 1ms
memory: 3928kb
input:
10 WWW..WWWWW WWWWWWWWWW WWWWWWWWWW WWWW.WWWWW WWWWWWWW.. WWWWWWWWWW WWWWWWWWWW WWWW.WWW.W WWWWWWWWW. W.WWWW.WWW
output:
256
result:
ok single line: '256'
Test #5:
score: 6.25
Accepted
time: 2ms
memory: 4792kb
input:
200 ..W...W.W..WWW....W...W..W........W..W.W...W.WW.WWW.WWW..W....WW.WW.........W..WW.WW..WW....WW...W..W.W.WW.WWW.W...W....W.WW.........W.W.WW.WWW...........W...W..W.....W..W.......W..WW.WW......W...WWW. W..WWWW.W......W.....W......WW.W.W....W.WW.W........WW...W...WW.W.W...W...W...WW.W.WW....W..WW....
output:
73928933
result:
ok single line: '73928933'
Test #6:
score: 6.25
Accepted
time: 2ms
memory: 4796kb
input:
200 ..W....W.W.W..W..W.W..WWW.WW...W...W...W.W.W.....WW....W..W..W..WW....W.....WWW..W.......WW.W..WW..W.WW.....W.W.W.W..W.WW..WW..W...W....WW...W.W...W.W.W....W............WW.W..W......W.W.......W.W..... W.....W...............W..W.....WWWWWWW.WW....W....WW.W...W...W....W.WW.WW..W.....W.WWWW..W.W......
output:
986875102
result:
ok single line: '986875102'
Test #7:
score: 6.25
Accepted
time: 2ms
memory: 4724kb
input:
200 .W.......W.........W.W.W.W..W.....W..WW.W.W.WWW...W..W..W...W..W.W.W..W..W..W.....W..W....W.W....WWW.W..W.WW..WW.....W.........W......WWW....W.WW..........WWW.W.W..........W..W..WWW.W...WW.....WW..... ..W.W.....W..W...WW....WWWW....WW......W.WWW.WW.W.......W....WW.WW.......W.W.W...WWWW......W..W...
output:
980557628
result:
ok single line: '980557628'
Test #8:
score: 6.25
Accepted
time: 2ms
memory: 4732kb
input:
200 W.WWW.....W...WWWW...WW..W.......WW...W.W.....W..W..W........WWWW.W.WW.W...WW.WW..WW......WW...WWW.......W...WW....W..W.....W.W..WWW.W.W..W......W...W...W.W..W.WW.W...W...W.W...W..W.WW.W..W...W..W.W.W WW.....W.W..W.W......W.W..WW...W...W..........W...W..W.W.W...W.W....WW.W.W.WW...WW.W..W...WWW.....
output:
135705039
result:
ok single line: '135705039'
Test #9:
score: 6.25
Accepted
time: 2ms
memory: 4852kb
input:
200 ..W.W..W.W.WW.WW.W.W...WW...W..W...W.WW.W.W......W....W.W.WW...WW.WW.WWW.W...W.......W.W.W..WW.WWW..W..WW......WW.W...WW...WW...WWW..W....W.WW.......W..W.W.....WWWW.W....WW...W....W..W...W....WW..W..W W......WWWW.....W..........WW..W.W.....W...W...WWW......WW.......WW...WW......W.WW.W...W...WW.W...
output:
153872030
result:
ok single line: '153872030'
Test #10:
score: 6.25
Accepted
time: 84ms
memory: 38856kb
input:
2000 W......WWWWW.W..WW......W.....WWW.......W.W.W..WW...W.....W..W..W....WWW.W.WWWW.W..W...W....W......W..WWW.WW......WW..W..W.......W.......WW..........W..WW..W..W..WWW.WW....W......W...WW.WW......W..WW......W.WW.W.W..W...W.....W.........WW.W...W...WW.WW..WWW..WW.W.WWWW....W.WW........WW.....W.W.....
output:
375172260
result:
ok single line: '375172260'
Test #11:
score: 6.25
Accepted
time: 67ms
memory: 38744kb
input:
2000 W.WW.....W..WW.................WWW..W....W.W.WWW...W.W........WW....W..W........W.W........W.......WW..WWW..W...WW..WW...WWWW..WWWW.W.......W....W...W...W.....W...WW...WWW...WW..W.WW..W....W.WW.........WWW.W..W...WW...WWW...WWW....W..W....WW....WW.W.........W...W...WWW..WW.............W...........
output:
831890193
result:
ok single line: '831890193'
Test #12:
score: 6.25
Accepted
time: 69ms
memory: 38864kb
input:
2000 .W....W.WW.W....WW..W.W....W.WW.W....WW.WW.....WW..W.W.........W.W.WWWW.WWWWWWWW.W....W.W..WW...W..W..W...W...W.W.W..W...WWW...WWW.....WW...W..W..W.W...........W.W..........WW...WWW..W..W..W..W.....W.W..W....WW.W.WW.WW...W..W.W....W.WW..WWW...WW..W...W........W..W.WWW..W......W.W..WW..WW...W......
output:
380858206
result:
ok single line: '380858206'
Test #13:
score: 6.25
Accepted
time: 82ms
memory: 38776kb
input:
2000 WW..WW..WW.WW.W...W....W...WWWW...W..W.W.W....W.W.W..W....W..W..W.W......W....WW...W..WW..W.........W.W....W..W.WW.WW......W..W.W....W..WW.WWW.WWW..WW..W.W.W.....WWW..WW..W.W...W.WW.W.W...W..........W...W..W....W...W....WW........W.W...WW..W..W...WW.WW....W.......W..WWW.W...W......WWW.WW..W..W....
output:
178610652
result:
ok single line: '178610652'
Test #14:
score: 6.25
Accepted
time: 76ms
memory: 38860kb
input:
2000 W...W..W...W.W.WW..WW....WW...W..WWW..W...W.WW.W......WW......WWW...W........WW.WWWW..W.....W.WW..W...W...WW..W...WW.W...W..WW......W.W.....W...W....W..W....W.W.W.....WW.....W.....WW...W.W.W.WW.W..W..W......W...WWW....WW...WWW..W.....W..W...WW....W.WW.W.W.W...W.W......W.....W..WWW.WW...WW..W..W...
output:
464018318
result:
ok single line: '464018318'
Test #15:
score: 6.25
Accepted
time: 84ms
memory: 38960kb
input:
2000 .WW.....W.W.......W...W.WWW.W..W..W.W.....W...WW.WW...W...WW..W.W.W...W.WWWW.W...W.W...WW.W.W..W...W.W.W...WWW..WW....W.W......WW.WWW....W..W.W.W.W.WW....WW....W..W...W..WW.....WWW.W...W.....W..WWWW.WW........W....W.....WWW...........WW......W.W..WW.W..WW..W.W..WW.WW.W.W.W....WW..W...WW.W..W.WW...
output:
751601279
result:
ok single line: '751601279'
Test #16:
score: 6.25
Accepted
time: 99ms
memory: 38764kb
input:
2000 .WW..WWWWW..W...W........WWWWW..W......W..WW.........WWWW....W.W.W.W..W.......W.WW..WW..WW..W.WW....W...W.WWW..W...W.....W.WW......W......W.WW.W..WWW.WWW....W....W.WW.............W.W.W...W.W......W....W.W.........W.WW....WW.......WW....W.W.W..W.W.W....W....WW.W.W.....W.........WW...W.....W.W......
output:
839346390
result:
ok single line: '839346390'