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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#456798#3220. DictionarypropaneAC ✓969ms13780kbC++202.3kb2024-06-28 13:46:482024-06-28 13:46:48

Judging History

你现在查看的是最新测评结果

  • [2024-06-28 13:46:48]
  • 评测
  • 测评结果:AC
  • 用时:969ms
  • 内存:13780kb
  • [2024-06-28 13:46:48]
  • 提交

answer

#include<iostream>
#include<cstring>
#include<vector>
using namespace std;
using LL = long long;

const int mod = 1e9 + 7;

void add(int &a, int b){
    a += b;
    if (a >= mod) a -= mod;
}

int mul(int a, int b){
    return 1LL * a * b % mod;
}

char s[55][30];
int f[55][55][30][28];

int dp(int l, int r, int st, int c){
    if (~f[l][r][st][c]) return f[l][r][st][c];
    if (l > r) return 1;
    if (c > 26) return 0;
    if (l == r){
        if (s[r][st] == 0) return c == 0;
        if (s[r][st] != '?' and s[r][st] < c + 'a' - 1) return 0;
        int ans = 1;
        if (s[r][st] == '?') ans = min(26, 26 - c + 1);
        for(int i = st + 1; i < 20; i++){
            if (s[r][i] == '?'){
                ans = mul(ans, 26);
            }
        }
        return f[l][r][st][c] = ans;
    }
    if (st >= 20) return 0;
    for(int i = l + 1; i <= r; i++){
        if (s[i][st] == 0){
            return f[l][r][st][c] = 0;
        }
    }
    
    if (s[l][st] == 0){
        if (c != 0) return f[l][r][st][c] = 0;
        return f[l][r][st][c] = dp(l + 1, r, st, c);
    }
    int ans = 0;
    int state = 0;
    for(int i = l; i <= r; i++){
        if (s[i][st] != '?'){
            state |= 1 << (s[i][st] - 'a' + 1);
        }
        if (__builtin_popcount(state) > 1) break;
        int s = 0;
        for(int j = max(c, 1); j <= 26; j++){
            if (state == 0 or (state >> j & 1)){
                add(ans, mul(dp(l, i, st + 1, 0), dp(i + 1, r, st, j + 1)));
                s += 26 - j;
            }
        }
    }
    // cout << l << ' ' << r << ' ' << st << ' ' << c << ' ' << ans << '\n';
    return f[l][r][st][c] = ans;
}

int main(){

#ifdef LOCAL
    freopen("data.in", "r", stdin);
    freopen("data.out", "w", stdout);
#endif

    cin.tie(0);
    cout.tie(0);
    ios::sync_with_stdio(0);

    int n;
    cin >> n;
    for(int i = 1; i <= n; i++){
        cin >> s[i];
    }
    memset(f, -1, sizeof f);
    cout << dp(1, n, 0, 0) << '\n';
    
    // for(int i = 0; i < 26; i++){
    //     int cnt = 0;
    //     for(int j = i + 1; j < 26; j++){
    //         for(int k = j; k < 26; k++){
    //             cnt += 1;
    //         }
    //     }
    //     cout << cnt * 26 << '\n';
    // }
    // cout << cnt * 26 << '\n';

}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 13744kb

input:

2
b?
a??

output:

0

result:

ok single line: '0'

Test #2:

score: 0
Accepted
time: 0ms
memory: 13704kb

input:

1
snuke

output:

1

result:

ok single line: '1'

Test #3:

score: 0
Accepted
time: 969ms
memory: 13428kb

input:

50
????????????????????
????????????????????
????????????????????
????????????????????
????????????????????
????????????????????
????????????????????
????????????????????
????????????????????
????????????????????
????????????????????
????????????????????
????????????????????
????????????????????
???...

output:

346258309

result:

ok single line: '346258309'

Test #4:

score: 0
Accepted
time: 0ms
memory: 13780kb

input:

25
aaaxklheghvqcyhaaegt
ailuhkqqhucpoltg
akcfcogzatyskqjy
dgdnbelgruel
dpj
f
gabfclzgnumdr
gkwhkkfpwarkckan
grrkpowoxwggxaknmltj
jexnrdunivxqjzfbzso
jnq
jxpbzggjxb
lkpekxxnebfrwi
mupwjjjfiwwh
ocejbxf
pazgt
rcftwxjrtgayvllut
ryqktm
wlyfhhkefuvg
xmoluqlzvu
xpndemqmtjw
ycnsnmwofe
ylcvkfealgonjk
yn
yova...

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 2ms
memory: 13536kb

input:

24
anseu
asdeih
b
eddm
f?
g?diquh??ozksxxf
hfrqkf
?ithni
hmgggszwtkcb
js?lw
klnwxoi
mvqgfgznt
nqitd?o??txnsa
oauaxbcehlkag
ossqwtp
qf?uz
qhvnsms?nray
sniutmg?fjmssf?g
sy
ukbd
ukgqvpvxvmatu?nb
xnc??nkrtd?noeblhlx
zbagauk?ta?qjfi
zbigkdqxkfwtsbvksmf

output:

908807140

result:

ok single line: '908807140'

Test #6:

score: 0
Accepted
time: 2ms
memory: 13708kb

input:

29
?dh?lmaz?dkavd
baalur?h?ioqexoxhe
dzxctb?g?c?tmgwjx
e
elnczxb?z?b?r
gysb??ra?rswgrs
hci?p??eutsrcwk?
hwi?d?i?ffj?gli
ic?rg?utvn
j
j?lyfhq?jga?oxf
?nrlpoz???cabzow
jpcln?hljq
?lfvgsja
n?uq?lgfvbqdhcnnb
pi
po???hq?xscyxoutxy?
p??q?tj?vdu?zx?
qcv
qpjamsjeilrling
?l?i??f?j?v?aobxjeh
ujzsibul
vm??ci?n...

output:

86016979

result:

ok single line: '86016979'

Test #7:

score: 0
Accepted
time: 0ms
memory: 13532kb

input:

7
c
hge??tc??vnqvyn?
ho?xj?u??hl?u
pcn?h
qa?ua?e?d?
v???vnn?nzvonp?z
?ok??ji?swqd??k?rn

output:

636316133

result:

ok single line: '636316133'

Test #8:

score: 0
Accepted
time: 2ms
memory: 13548kb

input:

5
dye?c??wpmfoo???je??
iu?qc???k?ydzn
m??ko?v
t??f?bh??y???k?pu??
???iz?xo?

output:

662633205

result:

ok single line: '662633205'

Test #9:

score: 0
Accepted
time: 2ms
memory: 13708kb

input:

31
?jm?mv?
c?v??
????????j?dj
epwgqg??eqi?
??
g???a??q?nfcdy
h??
i?ljs?f???h?ha
jb??
???????fjnzy??t
?wa??o?gi?huf??
kl??
ltk?igy??z
??e???zz?q?yyxso?
???????tukwt?ao??ke
?l?
nv??b?
omq
onws?h??pp
q?g??
?kna?oybaqu???o??
r??
??uqoja?g?zn????
?ca?
t?f??z???
??iws?qyk????o
v??g???m??q?y?
vq?x?o?w??h?f...

output:

909975318

result:

ok single line: '909975318'

Test #10:

score: 0
Accepted
time: 0ms
memory: 13572kb

input:

26
?t?????pl???w
br???n??tx
d?l????bc?????????
e
?f?w????
g?gm
i?bai?ss???h?
is?
j?c??
?iip??a?ft?z??gh
k???g
l?a?y
???zgjb?e
?h?x
????xo??????x?
?v????????i
???iqm???gio??
?go?dk?????n?????
???
?r
w?dc?vo?u?p?e???y
????
?e??brd?
z?????ir?stb????lo?
??sg?????????
???b?

output:

841808960

result:

ok single line: '841808960'

Test #11:

score: 0
Accepted
time: 2ms
memory: 13476kb

input:

11
?????z?s?z?sd????
???x?
h????
???o???ob??
s?????t
???k??
???a?yo
ve???t??ru
?k??????s??i
?k????????t??c
???o??

output:

60923896

result:

ok single line: '60923896'

Test #12:

score: 0
Accepted
time: 0ms
memory: 13472kb

input:

13
???
??????????????
f???
?ee?x???????
?
?????
???k??b????????
?????????????
?t?a?
??t?q??
?????
?????????
???i????q

output:

902089972

result:

ok single line: '902089972'

Test #13:

score: 0
Accepted
time: 3ms
memory: 13480kb

input:

9
???r?????????v??
?????????????
??????q??????
???????q??????????
??
??????????????????
????
??????????
????v

output:

832577674

result:

ok single line: '832577674'

Test #14:

score: 0
Accepted
time: 0ms
memory: 13424kb

input:

8
????????????????????
?????
????????????
???????????????????
?????
?????????????????
?????
????????????

output:

823652145

result:

ok single line: '823652145'

Test #15:

score: 0
Accepted
time: 0ms
memory: 13476kb

input:

2
?sum??mer
c??a??mp

output:

703286064

result:

ok single line: '703286064'

Test #16:

score: 0
Accepted
time: 2ms
memory: 13580kb

input:

3
snuje
????e
snule

output:

1

result:

ok single line: '1'