oj.uz

Submission #703838

# Submission time Handle Problem Language Result Execution time Memory
703838 2023-02-28T15:29:14 Z LittleCube Bowling (BOI15_bow) C++14
100 / 100
 868 ms 110644 KB 
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,fma")
#include <bits/stdc++.h>
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define F first
#define S second
using namespace std;

ll dp[10][66][66][331], pre[10][66][331], sum[66][331];
int cost[66][66][66], cost223[66][66][331], cost23[66][331], cost3[331], can[11][331];
const int s2 = 66, s3 = 241;
string mp2[s2], mp3[s3];

int _cost(string s, string t)
{
    int a = -1, b = -1;
    for (auto c : t)
    {
        if (c == 'x')
            (a == -1 ? a : b) = 10;
        else if (c == '/')
            b = 10 - a;
        else if (isdigit(c))
            (a == -1 ? a : b) = c - '0';
        if (b >= 0)
            break;
    }
    a = max(0, a), b = max(0, b);

    if (s[0] == 'x')
        return 10 + a + b;
    else if (s[1] == '/')
        return 10 + a;
    else
        return s[0] + s[1] - 2 * '0';
}

bool match(string s, string t)
{
    for (int i = 0; i < s.size(); i++)
        if (s[i] != t[i] && s[i] != '?')
            return 0;
    return 1;
}

void solve()
{
    string s;
    int n, ans[13] = {};
    cin >> n >> s;
    for (int i = 1; i <= n; i++)
        cin >> ans[i + 2];
    dp[0][0][0][0] = 1;

    for (int i = 1; i <= 9; i++)
        for (int j = 0; j < s2; j++)
            for (int k = 0; k < s2; k++)
                for (int sc = 0; sc <= 330; sc++)
                    dp[i][j][k][sc] = 0;

    for (int i = 1; i <= n - 1; i++)
        for (int j = 0; j < s2; j++)
            for (int sc = 0; sc <= 330; sc++)
                pre[i][j][sc] = sum[j][sc] = 0;
    for (int i = 0; i <= n - 2; i++)
    {
        string t = s.substr(2 * i, 2);
        for (int l = 0; l < s2; l++)
            can[i][l] = match(t, mp2[l]);
    }
    for (int i = 0; i <= n - 2; i++)
        for (int j = 0; j < s2; j++)
            for (int k = 0; k < s2; k++)
                if (j == 65 && k == 65)
                {
                    for (int sc = 0; sc <= 330; sc++)
                    {
                        if (i > 0 && can[i - 1][k])
                            dp[i][j][k][sc] += pre[i][j][sc];
                        if (dp[i][j][k][sc] != 0)
                            for (int l = 0; l < s2; l++)
                                if (can[i][l] && (sc + cost[j][k][l] == ans[i + 1] || ans[i + 1] == -1))
                                    dp[i + 1][k][l][sc + cost[j][k][l]] += dp[i][j][k][sc];
                    }
                }
                else
                {
                    int l, r;
                    if (ans[i + 1] == -1)
                        l = 0, r = 330 - cost[j][k][0];
                    else
                        l = max(0, ans[i + 1] - cost[j][k][0]), r = ans[i + 1] - cost[j][k][0];

                    for (int sc = l; sc <= r; sc++)
                    {
                        if (i > 0 && can[i - 1][k])
                            dp[i][j][k][sc] += pre[i][j][sc];
                        pre[i + 1][k][sc + cost[j][k][0]] += dp[i][j][k][sc];
                    }
                }

    ll res = 0;
    for (int l = 0; l < s3; l++)
        can[n - 1][l] = match(s.substr(2 * n - 2, 3), mp3[l]);
    for (int j = 0; j < s2; j++)
        for (int k = 0; k < s2; k++)
            if (j == 65 && k == 65)
            {
                for (int sc = 0; sc <= 330; sc++)
                {
                    if (can[n - 2][k])
                        dp[n - 1][j][k][sc] += pre[n - 1][j][sc];
                    if (dp[n - 1][j][k][sc] != 0)
                        for (int l = 0; l < s3; l++)
                            if (can[n - 1][l])
                            {
                                int an2 = cost223[j][k][l], an1 = an2 + cost23[k][l], an = an1 + cost3[l];
                                if ((sc + an2 == ans[n] || ans[n] == -1) &&
                                    (sc + an1 == ans[n + 1] || ans[n + 1] == -1) &&
                                    (sc + an == ans[n + 2] || ans[n + 2] == -1))
                                    res += dp[n - 1][j][k][sc];
                            }
                }
            }
            else
            {
                for (int sc = 0; sc <= 330 - cost223[j][k][0]; sc++)
                {
                    if (can[n - 2][k])
                        dp[n - 1][j][k][sc] += pre[n - 1][j][sc];
                    if ((sc + cost223[j][k][0] == ans[n] || ans[n] == -1))
                        sum[k][sc + cost223[j][k][0]] += dp[n - 1][j][k][sc];
                    dp[n - 1][j][k][sc] = 0;
                }
            }

    for (int k = 0; k < s2; k++)
        for (int sc = 0; sc <= 330; sc++)
            if (sum[k][sc] != 0)
                for (int l = 0; l < s3; l++)
                    if (can[n - 1][l])
                    {
                        int an1 = cost23[k][l], an = an1 + cost3[l];
                        if ((sc + an1 == ans[n + 1] || ans[n + 1] == -1) &&
                            (sc + an == ans[n + 2] || ans[n + 2] == -1))
                            res += sum[k][sc];
                    }

    cout << res << '\n';
}

signed main()
{
    ios::sync_with_stdio(0);
    cin.tie(0), cout.tie(0);

    int idx = 0;
    for (int i = 0; i <= 10; i++)
        for (int j = 0; j <= 10 - i; j++)
        {
            string s = (i == 10 ? "x-" : (i + j == 10 ? string(1, '0' + i) + "/" : string(1, '0' + i) + string(1, '0' + j)));
            mp2[idx] = s;
            idx++;
        }
    idx = 0;
    for (int i = 0; i <= 10; i++)
        for (int j = 0; j <= (i == 10 ? 10 : 10 - i); j++)
            for (int k = 0; k <= (i == 10 ? (j == 10 ? 10 : 10 - j) : (i + j == 10 ? 10 : 0)); k++)
            {
                string s = (i == 10 ? "x" : string(1, '0' + i)) +
                           (j == 10 ? "x" : string(1, '0' + j)) +
                           (k == 10 ? "x" : string(1, '0' + k));
                if (i < 10 && i + j == 10)
                    s[1] = '/';
                if (i == 10 && j < 10 && j + k == 10)
                    s[2] = '/';
                if (i + j < 10)
                    s[2] = '-';
                mp3[idx] = s;
                idx++;
            }
    for (int j = 0; j < s2; j++)
        for (int k = 0; k < s2; k++)
            for (int l = 0; l < s2; l++)
            {
                cost[j][k][l] = _cost(mp2[j], mp2[k] + mp2[l]);
            }
    for (int j = 0; j < s2; j++)
        for (int k = 0; k < s2; k++)
            for (int l = 0; l < s3; l++)
                cost223[j][k][l] = _cost(mp2[j], mp2[k] + mp3[l]);
    for (int k = 0; k < s2; k++)
        for (int l = 0; l < s3; l++)
            cost23[k][l] = _cost(mp2[k], mp3[l]);
    for (int l = 0; l < s3; l++)
    {
        int &an = cost3[l];

        if (mp3[l][1] == '/')
        {
            an += 10;
            if (mp3[l][2] != '-')
                an += (mp3[l][2] == 'x' ? 10 : mp3[l][2] - '0');
        }
        else
        {
            an += (mp3[l][0] == 'x' ? 10 : mp3[l][0] - '0');
            if (mp3[l][2] == '/')
                an += 10;
            else
            {
                an += (mp3[l][1] == 'x' ? 10 : mp3[l][1] - '0');
                if (mp3[l][2] != '-')
                    an += (mp3[l][2] == 'x' ? 10 : mp3[l][2] - '0');
            }
        }
    }

    int q;
    cin >> q;
    while (q--)
        solve();
}

Compilation message

bow.cpp: In function 'bool match(std::string, std::string)':
bow.cpp:42:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   42 |     for (int i = 0; i < s.size(); i++)
      |                     ~~^~~~~~~~~~

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 440 ms 110484 KB Output is correct
2 Correct 447 ms 110312 KB Output is correct
3 Correct 375 ms 110272 KB Output is correct
4 Correct 380 ms 110604 KB Output is correct
5 Correct 386 ms 110520 KB Output is correct
6 Correct 390 ms 110544 KB Output is correct
7 Correct 592 ms 110484 KB Output is correct
8 Correct 529 ms 110480 KB Output is correct
9 Correct 504 ms 110520 KB Output is correct
10 Correct 544 ms 110476 KB Output is correct
11 Correct 599 ms 110560 KB Output is correct
12 Correct 379 ms 109144 KB Output is correct
13 Correct 136 ms 109060 KB Output is correct
14 Correct 384 ms 109104 KB Output is correct
15 Correct 143 ms 108996 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 345 ms 110476 KB Output is correct
2 Correct 476 ms 110456 KB Output is correct
3 Correct 446 ms 110412 KB Output is correct
4 Correct 469 ms 110476 KB Output is correct
5 Correct 481 ms 110580 KB Output is correct
6 Correct 537 ms 110480 KB Output is correct
7 Correct 536 ms 110480 KB Output is correct
8 Correct 547 ms 110484 KB Output is correct
9 Correct 508 ms 110504 KB Output is correct
10 Correct 584 ms 110488 KB Output is correct
11 Correct 577 ms 110412 KB Output is correct
12 Correct 574 ms 110476 KB Output is correct
13 Correct 584 ms 110480 KB Output is correct
14 Correct 467 ms 110480 KB Output is correct
15 Correct 474 ms 110412 KB Output is correct
16 Correct 498 ms 110488 KB Output is correct
17 Correct 482 ms 110432 KB Output is correct
18 Correct 656 ms 110480 KB Output is correct
19 Correct 661 ms 110476 KB Output is correct
20 Correct 644 ms 110480 KB Output is correct
21 Correct 657 ms 110484 KB Output is correct

Subtask #3
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 229 ms 110476 KB Output is correct
2 Correct 398 ms 110524 KB Output is correct
3 Correct 404 ms 110412 KB Output is correct
4 Correct 438 ms 110476 KB Output is correct
5 Correct 418 ms 110476 KB Output is correct
6 Correct 434 ms 110504 KB Output is correct
7 Correct 438 ms 110480 KB Output is correct
8 Correct 431 ms 110368 KB Output is correct
9 Correct 449 ms 110480 KB Output is correct
10 Correct 416 ms 110412 KB Output is correct
11 Correct 412 ms 110480 KB Output is correct
12 Correct 402 ms 110552 KB Output is correct
13 Correct 413 ms 110472 KB Output is correct
14 Correct 437 ms 110412 KB Output is correct
15 Correct 434 ms 110480 KB Output is correct
16 Correct 453 ms 110496 KB Output is correct
17 Correct 439 ms 110476 KB Output is correct
18 Correct 471 ms 110484 KB Output is correct
19 Correct 520 ms 110432 KB Output is correct
20 Correct 500 ms 110540 KB Output is correct
21 Correct 509 ms 110540 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 389 ms 110476 KB Output is correct
2 Correct 433 ms 110524 KB Output is correct
3 Correct 458 ms 110452 KB Output is correct
4 Correct 448 ms 110420 KB Output is correct
5 Correct 431 ms 110284 KB Output is correct
6 Correct 415 ms 110484 KB Output is correct
7 Correct 414 ms 110496 KB Output is correct
8 Correct 414 ms 110476 KB Output is correct
9 Correct 419 ms 110568 KB Output is correct
10 Correct 546 ms 110540 KB Output is correct
11 Correct 518 ms 110364 KB Output is correct
12 Correct 513 ms 110500 KB Output is correct
13 Correct 514 ms 110476 KB Output is correct
14 Correct 546 ms 110480 KB Output is correct
15 Correct 545 ms 110480 KB Output is correct
16 Correct 552 ms 110408 KB Output is correct
17 Correct 526 ms 110412 KB Output is correct
18 Correct 540 ms 110480 KB Output is correct
19 Correct 557 ms 110540 KB Output is correct
20 Correct 608 ms 110644 KB Output is correct
21 Correct 604 ms 110560 KB Output is correct

Subtask #5
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 440 ms 110484 KB Output is correct
2 Correct 447 ms 110312 KB Output is correct
3 Correct 375 ms 110272 KB Output is correct
4 Correct 380 ms 110604 KB Output is correct
5 Correct 386 ms 110520 KB Output is correct
6 Correct 390 ms 110544 KB Output is correct
7 Correct 592 ms 110484 KB Output is correct
8 Correct 529 ms 110480 KB Output is correct
9 Correct 504 ms 110520 KB Output is correct
10 Correct 544 ms 110476 KB Output is correct
11 Correct 599 ms 110560 KB Output is correct
12 Correct 379 ms 109144 KB Output is correct
13 Correct 136 ms 109060 KB Output is correct
14 Correct 384 ms 109104 KB Output is correct
15 Correct 143 ms 108996 KB Output is correct
16 Correct 345 ms 110476 KB Output is correct
17 Correct 476 ms 110456 KB Output is correct
18 Correct 446 ms 110412 KB Output is correct
19 Correct 469 ms 110476 KB Output is correct
20 Correct 481 ms 110580 KB Output is correct
21 Correct 537 ms 110480 KB Output is correct
22 Correct 536 ms 110480 KB Output is correct
23 Correct 547 ms 110484 KB Output is correct
24 Correct 508 ms 110504 KB Output is correct
25 Correct 584 ms 110488 KB Output is correct
26 Correct 577 ms 110412 KB Output is correct
27 Correct 574 ms 110476 KB Output is correct
28 Correct 584 ms 110480 KB Output is correct
29 Correct 467 ms 110480 KB Output is correct
30 Correct 474 ms 110412 KB Output is correct
31 Correct 498 ms 110488 KB Output is correct
32 Correct 482 ms 110432 KB Output is correct
33 Correct 656 ms 110480 KB Output is correct
34 Correct 661 ms 110476 KB Output is correct
35 Correct 644 ms 110480 KB Output is correct
36 Correct 657 ms 110484 KB Output is correct
37 Correct 229 ms 110476 KB Output is correct
38 Correct 398 ms 110524 KB Output is correct
39 Correct 404 ms 110412 KB Output is correct
40 Correct 438 ms 110476 KB Output is correct
41 Correct 418 ms 110476 KB Output is correct
42 Correct 434 ms 110504 KB Output is correct
43 Correct 438 ms 110480 KB Output is correct
44 Correct 431 ms 110368 KB Output is correct
45 Correct 449 ms 110480 KB Output is correct
46 Correct 416 ms 110412 KB Output is correct
47 Correct 412 ms 110480 KB Output is correct
48 Correct 402 ms 110552 KB Output is correct
49 Correct 413 ms 110472 KB Output is correct
50 Correct 437 ms 110412 KB Output is correct
51 Correct 434 ms 110480 KB Output is correct
52 Correct 453 ms 110496 KB Output is correct
53 Correct 439 ms 110476 KB Output is correct
54 Correct 471 ms 110484 KB Output is correct
55 Correct 520 ms 110432 KB Output is correct
56 Correct 500 ms 110540 KB Output is correct
57 Correct 509 ms 110540 KB Output is correct
58 Correct 389 ms 110476 KB Output is correct
59 Correct 433 ms 110524 KB Output is correct
60 Correct 458 ms 110452 KB Output is correct
61 Correct 448 ms 110420 KB Output is correct
62 Correct 431 ms 110284 KB Output is correct
63 Correct 415 ms 110484 KB Output is correct
64 Correct 414 ms 110496 KB Output is correct
65 Correct 414 ms 110476 KB Output is correct
66 Correct 419 ms 110568 KB Output is correct
67 Correct 546 ms 110540 KB Output is correct
68 Correct 518 ms 110364 KB Output is correct
69 Correct 513 ms 110500 KB Output is correct
70 Correct 514 ms 110476 KB Output is correct
71 Correct 546 ms 110480 KB Output is correct
72 Correct 545 ms 110480 KB Output is correct
73 Correct 552 ms 110408 KB Output is correct
74 Correct 526 ms 110412 KB Output is correct
75 Correct 540 ms 110480 KB Output is correct
76 Correct 557 ms 110540 KB Output is correct
77 Correct 608 ms 110644 KB Output is correct
78 Correct 604 ms 110560 KB Output is correct
79 Correct 291 ms 110480 KB Output is correct
80 Correct 491 ms 110484 KB Output is correct
81 Correct 459 ms 110480 KB Output is correct
82 Correct 477 ms 110372 KB Output is correct
83 Correct 448 ms 110540 KB Output is correct
84 Correct 430 ms 110476 KB Output is correct
85 Correct 425 ms 110480 KB Output is correct
86 Correct 416 ms 110540 KB Output is correct
87 Correct 411 ms 110536 KB Output is correct
88 Correct 543 ms 110484 KB Output is correct
89 Correct 559 ms 110412 KB Output is correct
90 Correct 550 ms 110508 KB Output is correct
91 Correct 566 ms 110460 KB Output is correct
92 Correct 727 ms 110444 KB Output is correct
93 Correct 847 ms 110504 KB Output is correct
94 Correct 855 ms 110540 KB Output is correct
95 Correct 862 ms 110508 KB Output is correct
96 Correct 863 ms 110384 KB Output is correct
97 Correct 859 ms 110488 KB Output is correct
98 Correct 868 ms 110524 KB Output is correct
99 Correct 843 ms 110500 KB Output is correct
100 Correct 842 ms 110484 KB Output is correct