#include <bits/stdc++.h>
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
using namespace std;
#define int long long
int dp[11][301][32][11][11];
int sdp[11][301][31][11],sumdp[11][301][31];
int n;
char a[25];
int v[15];
bool ok(int x,int pos,bool strike,int prec)
{
if (a[pos] == '?')
return true;
char cx;
if (x == -1)
cx = '-';
else if (prec == -1)
{
if (x >= 0 and x <= 9)
cx = (char)('0' + x);
else
cx = 'x';
}
else
{
if (x + prec < 10)
cx = (char)('0' + x);
else
cx = '/';
}
if (cx == a[pos])
return true;
return false;
}
bool okv(int x,int pos)
{
if (v[pos] == -1)
return true;
if (x == v[pos])
return true;
return false;
}
int f(int c11,int c12,int c21,int c22)
{
if (c11 == 10)
{
if (c12 != c21)
return 31;
return 10 + c21 + c22;
}
if (c11 + c12 < 10)
return c11 + c12;
else if (c11 + c12 > 10)
return 31;
return 10 + c21;
}
void testcase()
{
memset(dp,0,sizeof(dp));
memset(sdp,0,sizeof(sdp));
memset(sumdp,0,sizeof(sumdp));
cin >> n;
for (int i = 1; i <= 2 * n + 1; i++)
cin >> a[i];
for (int i = 1; i <= n; i++)
cin >> v[i];
for (int s = 0; s <= 30 * n; s++)
{
for (int h1 = 0; h1 <= 10; h1++)
{
if (h1 == 10)
{
for (int h2 = 0; h2 <= 10; h2++)
{
if (h2 == 10)
{
for (int h3 = 0; h3 <= 10; h3++)
{
if (h1 + h2 + h3 <= s and ok(h1,2 * n - 1,true,-1) and ok(h2,2 * n,true,-1) and ok(h3,2 * n + 1,true,-1) and okv(s,n))
dp[n][s][h1 + h2 + h3][h1][h2]++;
}
}
else
{
for (int h3 = 0; h3 <= 10 - h2; h3++)
{
if (h1 + h2 + h3 <= s and ok(h1,2 * n - 1,true,-1) and ok(h2,2 * n,false,-1) and ok(h3,2 * n + 1,false,h2) and okv(s,n))
dp[n][s][h1 + h2 + h3][h1][h2]++;
}
}
}
}
else
{
for (int h2 = 0; h2 <= 10 - h1; h2++)
{
if (h1 + h2 == 10 and ok(h1,2 * n - 1,false,-1) and ok(h2, 2 * n,false,h1))
{
for (int h3 = 0; h3 <= 10; h3++)
{
if (ok(h3,2 * n + 1,true,-1) and h1 + h2 + h3 <= s and okv(s,n))
dp[n][s][h1 + h2 + h3][h1][h2]++;
}
}
else if (h1 + h2 < 10)
{
if (h1 + h2 <= s and ok(h1,2 * n - 1,false,-1) and ok(h2,2 * n,false,h1) and ok(-1,2 * n + 1,false,-1) and okv(s,n))
dp[n][s][h1 + h2][h1][h2]++;
}
}
}
}
}
/*for (int i = n; i > 1; i--)
{
for (int s = 0; s <= 30 * i; s++)
{
for (int h1 = 0; h1 <= 10; h1++)
{
for (int h2 = 0; h2 <= 10; h2++)
{
for (int vl = 0; vl <= min(30ll,s); vl++)
{
if (dp[i][s][h1][h2][vl] == 0)
continue;
if (!okv(s - vl,i - 1))
continue;
//cout << i << ' ' << s << ' ' << h1 << ' ' << h2 << ' ' << vl << endl;
for (int h1p = 0; h1p <= 10; h1p++)
{
for (int h2p = 0; h2p <= 10; h2p++)
{
if (f(h1p,h2p,h1,h2) <= s - vl)
{
if (h1p == 10 and ok(10,2 * i - 3,true,-1) and ok(-1,2 * i - 2,false,-1))
dp[i - 1][s - vl][h1p][h2p][f(h1p,h2p,h1,h2)] += dp[i][s][h1][h2][vl];
else if (h1p != 10)
{
if (h1p + h2p <= 10 and ok(h1p,2 * i - 3,false,-1) and ok(h2p,2 * i - 2,false,h1p))
dp[i - 1][s - vl][h1p][h2p][f(h1p,h2p,h1,h2)] += dp[i][s][h1][h2][vl];
}
}
}
}
}
}
}
}
}*/
for (int s = 0; s <= 30 * n; s++)
{
for (int h1 = 0; h1 <= 10; h1++)
{
for (int h2 = 0; h2 <= 10; h2++)
{
for (int vl = 0; vl <= 30; vl++)
{
sumdp[n][s][vl] += dp[n][s][vl][h1][h2];
sdp[n][s][vl][h1] += dp[n][s][vl][h1][h2];
//if (dp[n][s][h1][h2][vl] != 0)
// cout << s << ' ' << h1 << ' ' << h2 << ' ' << vl << ' ' << dp[n][s][h1][h2][vl] << endl;
}
}
}
}
for (int i = n - 1; i >= 1; i--)
{
for (int s = 0; s <= 30 * i; s++)
{
for (int vlp = 0; vlp <= 30; vlp++)
{
for (int h1 = 0; h1 <= 10; h1++)
{
for (int h2 = 0; h2 <= 10; h2++)
{
if (h1 == 10)
{
for (int h2p = 0; h2p <= 10; h2p++)
if (ok(h1,2 * i - 1,true,-1) and ok(-1,2 * i,true,-1))
dp[i][s][10 + h2 + h2p][h1][h2] += dp[i + 1][s + vlp][vlp][h2][h2p];
}
else if (h1 + h2 == 10)
{
for (int h1p = 0; h1p <= 10; h1p++)
if (ok(h1,2 * i - 1,false,-1) and ok(h2,2 * i,false,h1))
dp[i][s][10 + h1p][h1][h2] += sdp[i + 1][s + vlp][vlp][h1p];
}
else if (h1 + h2 < 10)
{
if (ok(h1,2 * i - 1,false,-1) and ok(h2,2 * i,false,h1))
dp[i][s][h1 + h2][h1][h2] += sumdp[i + 1][s + vlp][vlp];
}
}
}
}
}
for (int s = 0; s <= 30 * i; s++)
{
for (int vl = 0; vl <= 30; vl++)
{
for (int h1 = 0; h1 <= 10; h1++)
{
for (int h2 = 0; h2 <= 10; h2++)
{
if (!okv(s,i))
dp[i][s][vl][h1][h2] = 0;
//if (dp[i][s][h1][h2][vl] != 0)
// cout << i << ' ' << s << ' ' << h1 << ' ' << h2 << ' ' << vl << ' ' << dp[i][s][h1][h2][vl] << endl;
sumdp[i][s][vl] += dp[i][s][vl][h1][h2];
sdp[i][s][vl][h1] += dp[i][s][vl][h1][h2];
}
}
}
}
}
int ans = 0;
for (int s = 0; s <= 30; s++)
{
for (int h1 = 0; h1 <= 10; h1++)
{
for (int h2 = 0; h2 <= 10; h2++)
{
//if (dp[1][s][h1][h2][s] != 0)
//cout << s << ' ' << h1 << ' ' << h2 << ' ' << dp[1][s][h1][h2][s] << endl;
ans += dp[1][s][s][h1][h2];
}
}
}
cout << ans << '\n';
}
signed main()
{
int tc;
cin >> tc;
while (tc--)
testcase();
return 0;
}
/**
hoping for a miracle
**/
/*
1
2
?????
10 -1
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
385 ms |
110164 KB |
Output is correct |
2 |
Correct |
398 ms |
110168 KB |
Output is correct |
3 |
Correct |
422 ms |
110428 KB |
Output is correct |
4 |
Correct |
461 ms |
110564 KB |
Output is correct |
5 |
Correct |
453 ms |
110428 KB |
Output is correct |
6 |
Correct |
515 ms |
110424 KB |
Output is correct |
7 |
Correct |
581 ms |
110168 KB |
Output is correct |
8 |
Correct |
513 ms |
110428 KB |
Output is correct |
9 |
Correct |
438 ms |
110172 KB |
Output is correct |
10 |
Correct |
518 ms |
110172 KB |
Output is correct |
11 |
Correct |
892 ms |
110168 KB |
Output is correct |
12 |
Correct |
237 ms |
110428 KB |
Output is correct |
13 |
Correct |
54 ms |
110424 KB |
Output is correct |
14 |
Correct |
239 ms |
110428 KB |
Output is correct |
15 |
Correct |
64 ms |
110260 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
434 ms |
110168 KB |
Output is correct |
2 |
Correct |
528 ms |
110388 KB |
Output is correct |
3 |
Correct |
487 ms |
110416 KB |
Output is correct |
4 |
Correct |
545 ms |
110168 KB |
Output is correct |
5 |
Correct |
561 ms |
110168 KB |
Output is correct |
6 |
Correct |
821 ms |
110424 KB |
Output is correct |
7 |
Correct |
855 ms |
110416 KB |
Output is correct |
8 |
Correct |
861 ms |
110580 KB |
Output is correct |
9 |
Correct |
832 ms |
110420 KB |
Output is correct |
10 |
Correct |
928 ms |
110408 KB |
Output is correct |
11 |
Correct |
989 ms |
110676 KB |
Output is correct |
12 |
Execution timed out |
1044 ms |
110172 KB |
Time limit exceeded |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
252 ms |
110168 KB |
Output is correct |
2 |
Correct |
609 ms |
110296 KB |
Output is correct |
3 |
Correct |
496 ms |
110424 KB |
Output is correct |
4 |
Correct |
512 ms |
110428 KB |
Output is correct |
5 |
Correct |
481 ms |
110424 KB |
Output is correct |
6 |
Correct |
865 ms |
110168 KB |
Output is correct |
7 |
Correct |
871 ms |
110408 KB |
Output is correct |
8 |
Correct |
854 ms |
110172 KB |
Output is correct |
9 |
Correct |
864 ms |
110172 KB |
Output is correct |
10 |
Execution timed out |
1062 ms |
110172 KB |
Time limit exceeded |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
528 ms |
110356 KB |
Output is correct |
2 |
Correct |
483 ms |
110404 KB |
Output is correct |
3 |
Correct |
554 ms |
110428 KB |
Output is correct |
4 |
Correct |
463 ms |
110428 KB |
Output is correct |
5 |
Correct |
460 ms |
110428 KB |
Output is correct |
6 |
Correct |
525 ms |
110172 KB |
Output is correct |
7 |
Correct |
519 ms |
110428 KB |
Output is correct |
8 |
Correct |
487 ms |
110168 KB |
Output is correct |
9 |
Correct |
500 ms |
110424 KB |
Output is correct |
10 |
Correct |
651 ms |
110172 KB |
Output is correct |
11 |
Correct |
573 ms |
110428 KB |
Output is correct |
12 |
Correct |
567 ms |
110172 KB |
Output is correct |
13 |
Correct |
533 ms |
110276 KB |
Output is correct |
14 |
Correct |
892 ms |
110168 KB |
Output is correct |
15 |
Correct |
899 ms |
110168 KB |
Output is correct |
16 |
Correct |
869 ms |
110424 KB |
Output is correct |
17 |
Correct |
903 ms |
110424 KB |
Output is correct |
18 |
Correct |
854 ms |
110400 KB |
Output is correct |
19 |
Correct |
816 ms |
110312 KB |
Output is correct |
20 |
Correct |
825 ms |
110404 KB |
Output is correct |
21 |
Correct |
830 ms |
110168 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
385 ms |
110164 KB |
Output is correct |
2 |
Correct |
398 ms |
110168 KB |
Output is correct |
3 |
Correct |
422 ms |
110428 KB |
Output is correct |
4 |
Correct |
461 ms |
110564 KB |
Output is correct |
5 |
Correct |
453 ms |
110428 KB |
Output is correct |
6 |
Correct |
515 ms |
110424 KB |
Output is correct |
7 |
Correct |
581 ms |
110168 KB |
Output is correct |
8 |
Correct |
513 ms |
110428 KB |
Output is correct |
9 |
Correct |
438 ms |
110172 KB |
Output is correct |
10 |
Correct |
518 ms |
110172 KB |
Output is correct |
11 |
Correct |
892 ms |
110168 KB |
Output is correct |
12 |
Correct |
237 ms |
110428 KB |
Output is correct |
13 |
Correct |
54 ms |
110424 KB |
Output is correct |
14 |
Correct |
239 ms |
110428 KB |
Output is correct |
15 |
Correct |
64 ms |
110260 KB |
Output is correct |
16 |
Correct |
434 ms |
110168 KB |
Output is correct |
17 |
Correct |
528 ms |
110388 KB |
Output is correct |
18 |
Correct |
487 ms |
110416 KB |
Output is correct |
19 |
Correct |
545 ms |
110168 KB |
Output is correct |
20 |
Correct |
561 ms |
110168 KB |
Output is correct |
21 |
Correct |
821 ms |
110424 KB |
Output is correct |
22 |
Correct |
855 ms |
110416 KB |
Output is correct |
23 |
Correct |
861 ms |
110580 KB |
Output is correct |
24 |
Correct |
832 ms |
110420 KB |
Output is correct |
25 |
Correct |
928 ms |
110408 KB |
Output is correct |
26 |
Correct |
989 ms |
110676 KB |
Output is correct |
27 |
Execution timed out |
1044 ms |
110172 KB |
Time limit exceeded |
28 |
Halted |
0 ms |
0 KB |
- |