#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
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
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
334 ms |
110312 KB |
Output is correct |
2 |
Correct |
358 ms |
110428 KB |
Output is correct |
3 |
Correct |
359 ms |
110428 KB |
Output is correct |
4 |
Correct |
377 ms |
110192 KB |
Output is correct |
5 |
Correct |
380 ms |
110428 KB |
Output is correct |
6 |
Correct |
419 ms |
110168 KB |
Output is correct |
7 |
Correct |
457 ms |
110424 KB |
Output is correct |
8 |
Correct |
424 ms |
110428 KB |
Output is correct |
9 |
Correct |
372 ms |
110424 KB |
Output is correct |
10 |
Correct |
423 ms |
110172 KB |
Output is correct |
11 |
Correct |
707 ms |
110168 KB |
Output is correct |
12 |
Correct |
235 ms |
110428 KB |
Output is correct |
13 |
Correct |
53 ms |
110424 KB |
Output is correct |
14 |
Correct |
237 ms |
110428 KB |
Output is correct |
15 |
Correct |
62 ms |
110424 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
317 ms |
110428 KB |
Output is correct |
2 |
Correct |
424 ms |
110172 KB |
Output is correct |
3 |
Correct |
403 ms |
110172 KB |
Output is correct |
4 |
Correct |
441 ms |
110424 KB |
Output is correct |
5 |
Correct |
452 ms |
110168 KB |
Output is correct |
6 |
Correct |
647 ms |
110196 KB |
Output is correct |
7 |
Correct |
660 ms |
110168 KB |
Output is correct |
8 |
Correct |
664 ms |
110424 KB |
Output is correct |
9 |
Correct |
654 ms |
110168 KB |
Output is correct |
10 |
Correct |
725 ms |
110172 KB |
Output is correct |
11 |
Correct |
734 ms |
110168 KB |
Output is correct |
12 |
Correct |
791 ms |
110168 KB |
Output is correct |
13 |
Correct |
807 ms |
110168 KB |
Output is correct |
14 |
Correct |
822 ms |
110172 KB |
Output is correct |
15 |
Correct |
845 ms |
110172 KB |
Output is correct |
16 |
Correct |
860 ms |
110644 KB |
Output is correct |
17 |
Correct |
843 ms |
110428 KB |
Output is correct |
18 |
Correct |
831 ms |
110168 KB |
Output is correct |
19 |
Correct |
767 ms |
110420 KB |
Output is correct |
20 |
Correct |
793 ms |
110168 KB |
Output is correct |
21 |
Correct |
781 ms |
110172 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
197 ms |
110428 KB |
Output is correct |
2 |
Correct |
441 ms |
110428 KB |
Output is correct |
3 |
Correct |
405 ms |
110168 KB |
Output is correct |
4 |
Correct |
410 ms |
110420 KB |
Output is correct |
5 |
Correct |
373 ms |
110168 KB |
Output is correct |
6 |
Correct |
628 ms |
110168 KB |
Output is correct |
7 |
Correct |
665 ms |
110168 KB |
Output is correct |
8 |
Correct |
599 ms |
110424 KB |
Output is correct |
9 |
Correct |
653 ms |
110168 KB |
Output is correct |
10 |
Correct |
956 ms |
110424 KB |
Output is correct |
11 |
Correct |
851 ms |
110168 KB |
Output is correct |
12 |
Correct |
878 ms |
110428 KB |
Output is correct |
13 |
Correct |
823 ms |
110168 KB |
Output is correct |
14 |
Correct |
818 ms |
110424 KB |
Output is correct |
15 |
Correct |
816 ms |
110428 KB |
Output is correct |
16 |
Correct |
817 ms |
110672 KB |
Output is correct |
17 |
Correct |
830 ms |
110172 KB |
Output is correct |
18 |
Correct |
604 ms |
110172 KB |
Output is correct |
19 |
Correct |
635 ms |
110396 KB |
Output is correct |
20 |
Correct |
585 ms |
110428 KB |
Output is correct |
21 |
Correct |
600 ms |
110344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
428 ms |
110168 KB |
Output is correct |
2 |
Correct |
404 ms |
110408 KB |
Output is correct |
3 |
Correct |
455 ms |
110428 KB |
Output is correct |
4 |
Correct |
399 ms |
110172 KB |
Output is correct |
5 |
Correct |
392 ms |
110172 KB |
Output is correct |
6 |
Correct |
446 ms |
110428 KB |
Output is correct |
7 |
Correct |
410 ms |
110428 KB |
Output is correct |
8 |
Correct |
411 ms |
110168 KB |
Output is correct |
9 |
Correct |
415 ms |
110428 KB |
Output is correct |
10 |
Correct |
539 ms |
110408 KB |
Output is correct |
11 |
Correct |
519 ms |
110412 KB |
Output is correct |
12 |
Correct |
528 ms |
110172 KB |
Output is correct |
13 |
Correct |
456 ms |
110420 KB |
Output is correct |
14 |
Correct |
678 ms |
110172 KB |
Output is correct |
15 |
Correct |
654 ms |
110172 KB |
Output is correct |
16 |
Correct |
683 ms |
110172 KB |
Output is correct |
17 |
Correct |
680 ms |
110408 KB |
Output is correct |
18 |
Correct |
633 ms |
110424 KB |
Output is correct |
19 |
Correct |
624 ms |
110424 KB |
Output is correct |
20 |
Correct |
627 ms |
110172 KB |
Output is correct |
21 |
Correct |
603 ms |
110172 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
334 ms |
110312 KB |
Output is correct |
2 |
Correct |
358 ms |
110428 KB |
Output is correct |
3 |
Correct |
359 ms |
110428 KB |
Output is correct |
4 |
Correct |
377 ms |
110192 KB |
Output is correct |
5 |
Correct |
380 ms |
110428 KB |
Output is correct |
6 |
Correct |
419 ms |
110168 KB |
Output is correct |
7 |
Correct |
457 ms |
110424 KB |
Output is correct |
8 |
Correct |
424 ms |
110428 KB |
Output is correct |
9 |
Correct |
372 ms |
110424 KB |
Output is correct |
10 |
Correct |
423 ms |
110172 KB |
Output is correct |
11 |
Correct |
707 ms |
110168 KB |
Output is correct |
12 |
Correct |
235 ms |
110428 KB |
Output is correct |
13 |
Correct |
53 ms |
110424 KB |
Output is correct |
14 |
Correct |
237 ms |
110428 KB |
Output is correct |
15 |
Correct |
62 ms |
110424 KB |
Output is correct |
16 |
Correct |
317 ms |
110428 KB |
Output is correct |
17 |
Correct |
424 ms |
110172 KB |
Output is correct |
18 |
Correct |
403 ms |
110172 KB |
Output is correct |
19 |
Correct |
441 ms |
110424 KB |
Output is correct |
20 |
Correct |
452 ms |
110168 KB |
Output is correct |
21 |
Correct |
647 ms |
110196 KB |
Output is correct |
22 |
Correct |
660 ms |
110168 KB |
Output is correct |
23 |
Correct |
664 ms |
110424 KB |
Output is correct |
24 |
Correct |
654 ms |
110168 KB |
Output is correct |
25 |
Correct |
725 ms |
110172 KB |
Output is correct |
26 |
Correct |
734 ms |
110168 KB |
Output is correct |
27 |
Correct |
791 ms |
110168 KB |
Output is correct |
28 |
Correct |
807 ms |
110168 KB |
Output is correct |
29 |
Correct |
822 ms |
110172 KB |
Output is correct |
30 |
Correct |
845 ms |
110172 KB |
Output is correct |
31 |
Correct |
860 ms |
110644 KB |
Output is correct |
32 |
Correct |
843 ms |
110428 KB |
Output is correct |
33 |
Correct |
831 ms |
110168 KB |
Output is correct |
34 |
Correct |
767 ms |
110420 KB |
Output is correct |
35 |
Correct |
793 ms |
110168 KB |
Output is correct |
36 |
Correct |
781 ms |
110172 KB |
Output is correct |
37 |
Correct |
197 ms |
110428 KB |
Output is correct |
38 |
Correct |
441 ms |
110428 KB |
Output is correct |
39 |
Correct |
405 ms |
110168 KB |
Output is correct |
40 |
Correct |
410 ms |
110420 KB |
Output is correct |
41 |
Correct |
373 ms |
110168 KB |
Output is correct |
42 |
Correct |
628 ms |
110168 KB |
Output is correct |
43 |
Correct |
665 ms |
110168 KB |
Output is correct |
44 |
Correct |
599 ms |
110424 KB |
Output is correct |
45 |
Correct |
653 ms |
110168 KB |
Output is correct |
46 |
Correct |
956 ms |
110424 KB |
Output is correct |
47 |
Correct |
851 ms |
110168 KB |
Output is correct |
48 |
Correct |
878 ms |
110428 KB |
Output is correct |
49 |
Correct |
823 ms |
110168 KB |
Output is correct |
50 |
Correct |
818 ms |
110424 KB |
Output is correct |
51 |
Correct |
816 ms |
110428 KB |
Output is correct |
52 |
Correct |
817 ms |
110672 KB |
Output is correct |
53 |
Correct |
830 ms |
110172 KB |
Output is correct |
54 |
Correct |
604 ms |
110172 KB |
Output is correct |
55 |
Correct |
635 ms |
110396 KB |
Output is correct |
56 |
Correct |
585 ms |
110428 KB |
Output is correct |
57 |
Correct |
600 ms |
110344 KB |
Output is correct |
58 |
Correct |
428 ms |
110168 KB |
Output is correct |
59 |
Correct |
404 ms |
110408 KB |
Output is correct |
60 |
Correct |
455 ms |
110428 KB |
Output is correct |
61 |
Correct |
399 ms |
110172 KB |
Output is correct |
62 |
Correct |
392 ms |
110172 KB |
Output is correct |
63 |
Correct |
446 ms |
110428 KB |
Output is correct |
64 |
Correct |
410 ms |
110428 KB |
Output is correct |
65 |
Correct |
411 ms |
110168 KB |
Output is correct |
66 |
Correct |
415 ms |
110428 KB |
Output is correct |
67 |
Correct |
539 ms |
110408 KB |
Output is correct |
68 |
Correct |
519 ms |
110412 KB |
Output is correct |
69 |
Correct |
528 ms |
110172 KB |
Output is correct |
70 |
Correct |
456 ms |
110420 KB |
Output is correct |
71 |
Correct |
678 ms |
110172 KB |
Output is correct |
72 |
Correct |
654 ms |
110172 KB |
Output is correct |
73 |
Correct |
683 ms |
110172 KB |
Output is correct |
74 |
Correct |
680 ms |
110408 KB |
Output is correct |
75 |
Correct |
633 ms |
110424 KB |
Output is correct |
76 |
Correct |
624 ms |
110424 KB |
Output is correct |
77 |
Correct |
627 ms |
110172 KB |
Output is correct |
78 |
Correct |
603 ms |
110172 KB |
Output is correct |
79 |
Correct |
267 ms |
110172 KB |
Output is correct |
80 |
Correct |
476 ms |
110428 KB |
Output is correct |
81 |
Correct |
435 ms |
110424 KB |
Output is correct |
82 |
Correct |
479 ms |
110428 KB |
Output is correct |
83 |
Correct |
417 ms |
110424 KB |
Output is correct |
84 |
Correct |
732 ms |
110428 KB |
Output is correct |
85 |
Correct |
788 ms |
110428 KB |
Output is correct |
86 |
Correct |
717 ms |
110424 KB |
Output is correct |
87 |
Correct |
733 ms |
110172 KB |
Output is correct |
88 |
Correct |
744 ms |
110428 KB |
Output is correct |
89 |
Correct |
756 ms |
110428 KB |
Output is correct |
90 |
Correct |
758 ms |
110232 KB |
Output is correct |
91 |
Correct |
746 ms |
110424 KB |
Output is correct |
92 |
Correct |
603 ms |
110172 KB |
Output is correct |
93 |
Correct |
870 ms |
110428 KB |
Output is correct |
94 |
Correct |
844 ms |
110188 KB |
Output is correct |
95 |
Correct |
872 ms |
110424 KB |
Output is correct |
96 |
Correct |
837 ms |
110168 KB |
Output is correct |
97 |
Correct |
861 ms |
110424 KB |
Output is correct |
98 |
Correct |
821 ms |
110424 KB |
Output is correct |
99 |
Correct |
840 ms |
110168 KB |
Output is correct |
100 |
Correct |
882 ms |
110424 KB |
Output is correct |