QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#742897#9536. Athlete Welcome CeremonybandiaozAC ✓1135ms120084kbC++237.2kb2024-11-13 17:36:052024-11-13 17:36:06

Judging History

This is the latest submission verdict.

  • [2024-11-13 17:36:06]
  • Judged
  • Verdict: AC
  • Time: 1135ms
  • Memory: 120084kb
  • [2024-11-13 17:36:05]
  • Submitted

answer

#include <bits/stdc++.h>
#ifdef LOCAL
#include "pprint.hpp"
#else
#define debug(...)
#endif

using ll = long long;

#ifndef __OY_STATICMODINT32__
#define __OY_STATICMODINT32__
/**
 * @brief 静态 32 位模数取余
 * @example using Z = OY::mint1000000007;
 */
namespace OY {
    template <uint32_t P, bool IsPrime, typename = typename std::enable_if<(P > 1 && P < uint32_t(1) << 31)>::type>
    struct StaticModInt32 {
        using mint = StaticModInt32<P, IsPrime>;
        using mod_type = uint32_t;
        mod_type m_val;
        static constexpr mod_type _reduce_norm(int32_t x) { return x < 0 ? x + mod() : x; }
        static constexpr mod_type _mul(mod_type a, mod_type b) { return uint64_t(a) * b % mod(); }
        constexpr StaticModInt32() = default;
        template <typename Tp, typename std::enable_if<std::is_signed<Tp>::value>::type * = nullptr>
        constexpr StaticModInt32(Tp val) : m_val(_reduce_norm(val % int32_t(mod()))) {}
        template <typename Tp, typename std::enable_if<std::is_unsigned<Tp>::value>::type * = nullptr>
        constexpr StaticModInt32(Tp val) : m_val(val % mod()) {}
        static constexpr mint raw(mod_type val) { mint res{}; res.m_val = val; return res; }
        static constexpr mod_type mod() { return P; }
        constexpr mod_type val() const { return m_val; }
        constexpr mint pow(uint64_t n) const {
            mod_type res = 1, b = m_val;
            while (n) {
                if (n & 1) res = _mul(res, b);
                b = _mul(b, b), n >>= 1;
            }
            return raw(res);
        }
        constexpr mint inv() const {
            if constexpr (IsPrime) return inv_Fermat();
            else return inv_exgcd();
        }
        constexpr mint inv_exgcd() const {
            mod_type x = mod(), y = m_val, m0 = 0, m1 = 1;
            while (y) {
                mod_type z = x / y;
                x -= y * z, m0 -= m1 * z, std::swap(x, y), std::swap(m0, m1);
            }
            if (m0 >= mod()) m0 += mod() / x;
            return raw(m0);
        }
        constexpr mint inv_Fermat() const { return pow(mod() - 2); }
        constexpr mint &operator++() { if (++m_val == mod()) m_val = 0; return *this; }
        constexpr mint &operator--() { if (!m_val) m_val = mod(); m_val--; return *this; }
        constexpr mint operator++(int) { mint old(*this); ++*this; return old; }
        constexpr mint operator--(int) { mint old(*this); --*this; return old; }
        constexpr mint &operator+=(const mint &rhs) { m_val += rhs.m_val; if (m_val >= mod()) m_val -= mod(); return *this; }
        constexpr mint &operator-=(const mint &rhs) { m_val += mod() - rhs.m_val; if (m_val >= mod()) m_val -= mod(); return *this; }
        constexpr mint &operator*=(const mint &rhs) { m_val = _mul(m_val, rhs.m_val); return *this; }
        constexpr mint &operator/=(const mint &rhs) { return *this *= rhs.inv(); }
        constexpr mint operator+() const { return *this; }
        constexpr mint operator-() const { return raw(m_val ? mod() - m_val : 0); }
        constexpr bool operator==(const mint &rhs) const { return m_val == rhs.m_val; }
        constexpr bool operator!=(const mint &rhs) const { return m_val != rhs.m_val; }
        constexpr bool operator<(const mint &rhs) const { return m_val < rhs.m_val; }
        constexpr bool operator>(const mint &rhs) const { return m_val > rhs.m_val; }
        constexpr bool operator<=(const mint &rhs) const { return m_val <= rhs.m_val; }
        constexpr bool operator>=(const mint &rhs) const { return m_val <= rhs.m_val; }
        template <typename Tp>
        constexpr explicit operator Tp() const { return Tp(m_val); }
        friend constexpr mint operator+(const mint &a, const mint &b) { return mint(a) += b; }
        friend constexpr mint operator-(const mint &a, const mint &b) { return mint(a) -= b; }
        friend constexpr mint operator*(const mint &a, const mint &b) { return mint(a) *= b; }
        friend constexpr mint operator/(const mint &a, const mint &b) { return mint(a) /= b; }
        constexpr static mint identity() { return 1; }
    };
    template <typename Istream, uint32_t P, bool IsPrime>
    Istream &operator>>(Istream &is, StaticModInt32<P, IsPrime> &x) { return is >> x.m_val; }
    template <typename Ostream, uint32_t P, bool IsPrime>
    Ostream &operator<<(Ostream &os, const StaticModInt32<P, IsPrime> &x) { return os << x.val(); }
    using mint998244353 = StaticModInt32<998244353, true>;
    using mint1000000007 = StaticModInt32<1'000'000'007, true>;
}

#endif
using Z = OY::mint1000000007;

const int N = 300;
Z ans[N + 1][N + 1][N + 1];

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int n, q;
    std::cin >> n >> q;
    std::string s;
    std::cin >> s;

    std::vector dp(n + 1, std::vector(n + 1, std::vector<Z>(3)));
    if (s[0] == '?') {
        dp[1][0][0] = 1;
        dp[0][1][1] = 1;
        dp[0][0][2] = 1;
    } else {
        dp[0][0][s[0] - 'a'] = 1;
    }
    for (int i = 1; i < n; i++) {
        std::vector ndp(n + 1, std::vector(n + 1, std::vector<Z>(3)));
        if (s[i] == 'a') {
            for (int j = 0; j <= n; j++) {
                for (int k = 0; k <= n; k++) {
                    ndp[j][k][0] += dp[j][k][1] + dp[j][k][2];
                }
            }
        } else if (s[i] == 'b') {
            for (int j = 0; j <= n; j++) {
                for (int k = 0; k <= n; k++) {
                    ndp[j][k][1] += dp[j][k][0] + dp[j][k][2];
                }
            }
        } else if (s[i] == 'c') {
            for (int j = 0; j <= n; j++) {
                for (int k = 0; k <= n; k++) {
                    ndp[j][k][2] += dp[j][k][0] + dp[j][k][1];
                }
            }
        } else {
            for (int j = 0; j <= n; j++) {
                for (int k = 0; k <= n; k++) {
                    if (j + 1 <= n) {
                        ndp[j + 1][k][0] += dp[j][k][1] + dp[j][k][2];
                    }
                    if (k + 1 <= n) {
                        ndp[j][k + 1][1] += dp[j][k][0] + dp[j][k][2];
                    } 
                    ndp[j][k][2] += dp[j][k][0] + dp[j][k][1];
                }
            }
        }
        dp = ndp;
    }

    int cnt = std::count(s.begin(), s.end(), '?');
    for (int i = 0; i <= cnt; i++) {
        for (int j = 0; i + j <= cnt; j++) {
            ans[i][j][cnt - i - j] += dp[i][j][0] + dp[i][j][1] + dp[i][j][2];
        }
    }

    for (int i = 0; i <= N; i++) {
        for (int j = 0; j <= N; j++) {
            for (int k = 0; k <= N; k++) {
                if (i) ans[i][j][k] += ans[i - 1][j][k];
                if (j) ans[i][j][k] += ans[i][j - 1][k];
                if (k) ans[i][j][k] += ans[i][j][k - 1];
                if (i && j) ans[i][j][k] -= ans[i - 1][j - 1][k];
                if (i && k) ans[i][j][k] -= ans[i - 1][j][k - 1];
                if (j && k) ans[i][j][k] -= ans[i][j - 1][k - 1];
                if (i && j && k) ans[i][j][k] += ans[i - 1][j - 1][k - 1];
            }
        }
    }

    while (q--) {
        int a, b, c;
        std::cin >> a >> b >> c;
        std::cout << ans[a][b][c] << '\n';
    }

    return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 163ms
memory: 110028kb

input:

6 3
a?b??c
2 2 2
1 1 1
1 0 2

output:

3
1
1

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 174ms
memory: 109976kb

input:

6 3
??????
2 2 2
2 3 3
3 3 3

output:

30
72
96

result:

ok 3 lines

Test #3:

score: 0
Accepted
time: 162ms
memory: 110028kb

input:

1 1
?
0 1 1

output:

2

result:

ok single line: '2'

Test #4:

score: 0
Accepted
time: 186ms
memory: 110328kb

input:

10 10
acab?cbaca
0 2 0
1 1 2
4 2 3
1 1 1
3 5 1
0 5 2
2 2 0
1 2 5
4 3 0
1 1 3

output:

0
1
1
1
1
0
1
1
1
1

result:

ok 10 lines

Test #5:

score: 0
Accepted
time: 155ms
memory: 109996kb

input:

10 10
?c?c?cbac?
10 5 1
5 8 7
9 2 6
5 7 1
5 2 6
5 6 5
5 10 3
9 1 10
2 5 9
1 2 9

output:

16
16
11
16
11
16
16
5
11
0

result:

ok 10 lines

Test #6:

score: 0
Accepted
time: 177ms
memory: 110404kb

input:

50 100
?abacbacab?cbcbcb?acabcbabcbcacbababc?caba?acacbca
8 3 8
2 4 8
8 7 3
0 9 2
10 8 7
7 6 5
4 10 2
6 9 3
3 6 6
9 10 8
2 5 8
8 1 0
3 5 0
1 0 6
5 0 8
6 5 5
1 7 9
7 7 10
4 7 5
6 6 4
10 1 2
4 1 7
10 0 8
7 6 3
1 9 1
4 7 2
8 4 0
8 6 1
5 10 4
5 8 2
5 8 4
4 5 9
5 2 1
1 10 9
4 10 1
8 4 3
8 9 9
8 0 1
0 8 0...

output:

8
8
8
0
8
8
6
8
8
8
8
0
0
0
1
8
4
8
8
8
2
4
1
8
1
6
0
2
8
6
8
8
1
4
2
8
8
0
0
8
2
0
8
8
8
4
8
8
8
8
2
0
0
4
8
8
1
8
7
6
7
0
8
8
8
0
4
7
8
4
0
8
0
4
8
8
8
7
8
4
7
2
8
8
8
0
2
2
8
8
8
4
4
0
8
0
8
8
1
1

result:

ok 100 lines

Test #7:

score: 0
Accepted
time: 179ms
memory: 110528kb

input:

50 100
b????????bca?????c?b??ca?acac?b?b???ca?ab???a?a???
35 43 36
12 49 47
7 11 34
38 44 22
42 17 10
49 8 38
18 26 44
6 18 14
28 29 6
48 32 47
29 15 48
1 5 33
24 17 18
10 27 32
19 10 34
2 23 9
14 24 39
46 12 34
9 49 26
21 8 46
43 43 3
31 16 2
8 27 7
24 41 35
17 25 31
0 13 47
24 31 23
33 40 30
36 39...

output:

34272000
31599360
497244
34272000
17637520
12290752
34272000
93044
415832
34272000
34272000
0
34272000
16360704
27933952
0
34272000
33886976
7896832
12290752
718
24
0
34272000
34272000
0
34272000
34272000
34272000
32254720
0
5666944
34256640
34272000
34272000
12290752
30493248
34256640
20630016
0
10...

result:

ok 100 lines

Test #8:

score: 0
Accepted
time: 201ms
memory: 111368kb

input:

100 1000
c?cbababcabacbacbacacbacabcbabababacababcbcab?cbabacbacbcbcacbab?bcabcbcababcacbabacbcb?babcbab?baca
13 11 4
4 17 20
14 5 2
16 14 15
8 12 17
19 5 11
5 17 12
20 7 6
19 10 1
6 5 0
13 1 9
7 17 1
20 4 16
11 12 18
19 2 16
18 1 11
19 16 3
7 1 0
6 9 16
6 9 16
6 20 7
0 16 20
1 2 8
16 5 20
18 14 18
...

output:

16
15
14
16
16
16
16
16
8
2
16
8
16
16
16
16
16
2
16
16
16
0
1
16
16
5
1
5
16
16
16
16
16
15
16
13
16
15
2
16
16
1
8
16
16
16
15
0
16
15
16
16
16
16
8
8
16
16
16
16
16
16
8
16
16
1
8
8
16
16
1
16
1
0
16
2
2
16
7
16
16
8
16
16
16
16
1
16
14
16
16
16
16
5
16
16
14
16
11
16
15
11
2
1
8
16
16
7
16
5
16
...

result:

ok 1000 lines

Test #9:

score: 0
Accepted
time: 224ms
memory: 111376kb

input:

100 1000
?????c??????????????????????????b???a????a?????????????????????????c????????????????????????????????
43 38 20
27 40 32
39 27 33
28 50 43
50 3 46
38 46 14
42 48 10
45 25 28
49 10 49
38 17 42
41 49 22
41 18 44
46 47 25
17 44 35
34 43 22
47 42 32
32 44 40
36 41 24
45 38 45
49 44 18
42 34 32
43...

output:

490475656
143989836
119661929
707864467
10104
219100551
479284703
764218529
903846231
659694548
204287063
105920502
191779504
182802705
215438611
938692318
797581204
903917420
893995828
287222624
578695829
95654849
457810426
709349795
85961844
923330494
783007506
111119718
295402274
241594071
551680...

result:

ok 1000 lines

Test #10:

score: 0
Accepted
time: 202ms
memory: 111448kb

input:

100 1000
c???cacacbcab?cb?acb???ac?bab?bcbcbc?c?bcbcaba??b?ba?c?aca?a?bac?cbcbcba??ca?b????ac?baba?ab?cba?c?c
99 70 32
52 98 84
12 78 77
84 8 87
16 36 0
48 70 100
25 4 15
95 54 35
33 35 90
20 4 69
6 11 76
27 96 48
16 24 18
99 48 1
43 54 35
9 81 75
27 58 52
50 94 14
29 67 27
59 68 53
42 31 46
12 90 2...

output:

380160
380160
226896
64156
0
380160
92
380160
380160
92
0
380160
379648
0
380160
22500
380160
380160
380160
380160
380160
226896
380160
380160
226896
0
380160
380160
380160
380160
152672
380160
5624
226896
380160
380160
379648
0
380160
380160
366848
380160
226896
380160
92
374912
5624
380160
380160
...

result:

ok 1000 lines

Test #11:

score: 0
Accepted
time: 1111ms
memory: 119984kb

input:

300 100000
abcacacbabacbcababcacacb?babacbcbacbcababcbcbabcacbcbacacabacacacbacbcbcacbabacbcbcbabcacbababcabcabcabababacbcacbacabcbacbacacacbababababacbcababcbcacacbcbabacabcabababcabacbcbcbabcabacbabacacbcbcacacacbcabcbabcbcabababababcacabcabababcbcbcbcbcabacbabacbabcacbcababacacbcbababababcacacaba...

output:

1
2
2
2
2
1
2
2
2
2
1
1
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
1
1
2
2
2
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
0
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
1
2
2
1
2
2
2
2
1
2
2
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 100000 lines

Test #12:

score: 0
Accepted
time: 1087ms
memory: 120084kb

input:

300 100000
bcacbacacabacacbacacbabcabcacabcabcbcaba?cacbabcbacbabcbacacabacabcbacabcacacbcbabcbcabcabacbacbacabacabababcbcbcbabcbacbacabcacacabacbcbababcbcabacbabcbabacabcbabcbababababcbcbabacbacacbcabcabcbcbcbcabacabacacacbcbacabacbabca?acacbcacacbcbabacbcbcabca?babcacbc?acbacabacbcbcbcbacabababacb...

output:

4
4
4
4
0
4
4
4
4
4
4
4
4
4
0
1
3
3
4
4
4
1
4
0
4
0
4
4
4
4
4
4
4
0
4
1
1
4
4
0
4
3
4
4
4
4
4
4
4
3
4
1
1
3
4
0
4
4
3
4
4
4
4
4
4
4
4
4
4
0
4
4
4
3
4
3
4
4
4
1
4
3
0
4
4
4
4
4
0
4
0
4
4
4
4
1
4
4
4
4
4
0
1
4
4
1
4
0
4
3
4
0
4
3
1
0
4
4
1
1
4
4
4
3
4
4
4
3
0
4
1
4
4
4
0
4
4
4
4
1
0
4
1
0
4
4
4
4
4
4
...

result:

ok 100000 lines

Test #13:

score: 0
Accepted
time: 1100ms
memory: 120012kb

input:

300 100000
bcbabcab?bab??acacbcabacbacbcacacbabcab?bcbcb?bababcabcabcabca?abcbc?bcacacb?abababcbcbcbcbaba?cba?abcabc?ababacbcbc?acbabcacacbabcab?ca?b?babcbacbacbcbcbacbc?c?cababcacbc?bcbcabcacbabc?acbabcbacac?cbcb?abcbabacabcbacabcacababcbabcbcb??bacbcbacabc?cabacac?cab?cabacacbcacacbabacacabcab?bac...

output:

20336
14528
22504
24576
24576
16992
24576
24576
24576
0
24576
1500
24576
24576
24576
0
23592
7808
24576
0
24576
23592
24576
24576
0
640
24576
2576
24392
24576
624
24576
24576
0
8
24448
8
24576
104
0
24576
24576
24392
0
0
24576
24576
24576
0
24576
24392
24576
24576
24576
23488
24576
24576
24576
24448...

result:

ok 100000 lines

Test #14:

score: 0
Accepted
time: 1119ms
memory: 119944kb

input:

300 100000
cbabacacabcaca?abcb?b??cbc??cbacb?acab?b?bcabc?a??bab?a?a?a?ca?acac????c?c?caba?a???bcab?ababababc??babacacacbacabcb?bab?bcab?bacb???ba???c?b?cb?bababac?cb??acacbcba?acaca??bacb?cbc?c?bcbcbab?ba?c??bacacab?b?b?ac??babcbcb?bcbcbcb?c?c?cbac?ba?a?abc?cab?bc?ca?abacaca?abc??ac?aca?a??ca?cac??...

output:

964413406
726709206
0
110704627
192317202
753035749
238645875
836077477
0
0
67075693
196248
337185872
684300992
551066954
512400928
894774207
441158600
632725062
60181080
460670453
301321033
206790308
549405433
258628038
0
719626090
0
800239318
716729053
580760175
749271169
414309213
431703326
12786...

result:

ok 100000 lines

Test #15:

score: 0
Accepted
time: 1124ms
memory: 120044kb

input:

300 100000
cbacacacbcba??bc???ab??bca?acabcbcb?cac?babacbac?ba??cbcbac?cb?abacaca?ac?c?caba?ac?cabc?ba?cbaba??ba??abcabac?abab?cabcacbc?cab??aca?bc??babacacab?c?babcacacb?cba?ac?a?abacabcbcbcaca?ab?bcabababc??ababa?abc???acbacbabcac?a?acabcac?cbabac?bacab??c?a??babcbacac??aca?bcba?ab?bcbacbacbabab?b...

output:

868189535
868189535
0
868189535
495627643
0
868189535
929370324
868189535
868189535
1474560
0
0
868189535
868189535
868189535
688551450
868189535
868189535
0
868189535
868189535
868189535
868189535
9381984
868189535
868189535
868189535
868189535
20457120
868189535
868189535
635204610
868189535
86818...

result:

ok 100000 lines

Test #16:

score: 0
Accepted
time: 1115ms
memory: 119928kb

input:

300 100000
cbac?cac?cbcbca?abacba?ac?acab????abaca?abcbcabc?c??acb???b?ac??bcb?cacacabac?b?bc?a?b?abcac??a?acacab?bacacab??ca?b?c?acacabcbacacbc?c?acbcabcaca?a?cb?a??abcacab?b?cacb??ac??c?a?bacb?bacbaba?a?bc?babca??bababcababcab?ba?cba??cb?b?abc?cbcab?ba?ca?bacb??ca?bcb??cacbcbca???cbac?bacbc?cac?bc...

output:

63065600
280135711
280135711
280135711
280135711
280135711
280135711
280135711
0
579883317
270080
280135711
0
280135711
280135711
539129922
280135711
280135711
539129922
0
280135711
280135711
280135711
0
280135711
270080
256
280135711
280135711
280135711
280135711
280135711
280135711
631211594
28013...

result:

ok 100000 lines

Test #17:

score: 0
Accepted
time: 1135ms
memory: 120000kb

input:

300 100000
??????a?a??c?c?????a??????????b???????????????????????????????????bc?b???????b????????c??????????a????????bc??a????????????c????a?????????????a?????b?????a????????c??ba????b?b???????????c?????????cbc?????????????????b???ab?b????ac?b??c??????c??a??ab???a?????b?????????a??b???????????ba????...

output:

356410997
164744264
978926692
879215541
267745269
399413378
667881560
356410997
818851047
356410997
989150636
266480908
0
356410997
303796242
234869176
137612115
356410997
0
24290767
273625930
411968196
567490332
356410997
0
356410997
807134302
646186244
356410997
356410997
577546772
527886169
35641...

result:

ok 100000 lines

Test #18:

score: 0
Accepted
time: 1113ms
memory: 120040kb

input:

300 100000
?a?????????????????b??b??ac?????????????????????b???????c??a??????c????????ac??a???a????a????c????????????bc?????b???c???ab?????????????????????c??????c?b???????a?a?????????c??b??c???b????a?c????????????????c?bc????b???????????b????????bc????c????????????????????a?????????c?????a?????????...

output:

421472289
555100087
555100087
880376766
555100087
0
0
931054200
106211865
993171009
555100087
486740217
555100087
0
555100087
190774849
555100087
336407512
0
0
655515061
555100087
0
309808634
992320113
362042447
0
461962238
830139091
238473131
555100087
0
555100087
555100087
992320113
555100087
1745...

result:

ok 100000 lines

Extra Test:

score: 0
Extra Test Passed