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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#690902#5576. Advertising ICPCohiostatescarlet#AC ✓7ms3840kbC++172.6kb2024-10-31 08:17:352024-10-31 08:17:37

Judging History

你现在查看的是最新测评结果

  • [2024-10-31 08:17:37]
  • 评测
  • 测评结果:AC
  • 用时:7ms
  • 内存:3840kb
  • [2024-10-31 08:17:35]
  • 提交

answer

#pragma GCC optimize ("Ofast")

#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

int n, m;
int grid[8][8];
const int MOD = 998244353;
ll COMBOS;
typedef vector<pair<int,bool>> V;

bool valid(int row, int vals) {
    for (int i = 0; i < m; i++) {
        int c = vals % 3;
        if (grid[row][i] != 3 && grid[row][i] != c) return false;
        vals /= 3;
    }
    return true;
}

V getClass(int vals) {
    int last = 0;
    V res;
    for (int i = 0; i < m; i++) {
        int c = vals % 3;
        if (c == 0 && last != 0) res.push_back({i, last == 1});
        vals /= 3;
        last = c;
    }
    return res;
}

bool compat(const V&top, const V&bot) {
    int j = 0;
    for (int i = 0; i < top.size(); i++) {
        while (j < bot.size() && bot[j].first < top[i].first) j++;
        if (j < bot.size() && top[i].first == bot[j].first && top[i].second && !bot[j].second) {
            return false;
        }
    }
    return true;
}

ll modpow(ll b, ll e) {
    ll ans = 1;
    for (; e; b = b * b % MOD, e /= 2) {
        if (e & 1) ans = ans * b % MOD;
    }
    return ans;
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    cin.exceptions(cin.failbit);
    cin >> n >> m;
    COMBOS = modpow(3, m);
    int blanks = 0;
    for (int i = 0; i < n; i++) {
        string s; cin >> s;
        for (int j = 0; j < m; j++) {
            grid[i][j] = string("CIP?").find(s[j]);
            if (grid[i][j] == 3) blanks++;
        }
    }
    vector<map<V,ll>> occ(n);
    for (int i = 0; i < COMBOS; i++) {
        for (int r = 0; r < n; r++) {
            if (valid(r, i)) {
                V cls = getClass(i);
                occ[r][cls]++;
            }
        }
    }
    for (int r = 1; r < n; r++) {
        for (auto p = occ[r].begin(); p != occ[r].end(); p++) {
            ll res = 0;
            for (auto p2 = occ[r-1].begin(); p2 != occ[r-1].end(); p2++) {
                if (compat(p2->first, p->first)) {
                    res = (res + p->second * p2->second) % MOD;
                }
            }
            p->second = res;
        }
    }
    ll total = modpow(3, blanks);
    for (auto p = occ[n-1].begin(); p != occ[n-1].end(); p++) {
        total -= p->second;
        if (total < 0) total += MOD;
    }
    cout << total << '\n';
}

/*

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


*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3616kb

input:

3 3
???
?I?
???

output:

243

result:

ok single line: '243'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

2 2
IC
PC

output:

1

result:

ok single line: '1'

Test #3:

score: 0
Accepted
time: 7ms
memory: 3768kb

input:

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

output:

776529021

result:

ok single line: '776529021'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

2 2
??
??

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

2 2
CP
CI

output:

0

result:

ok single line: '0'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

2 2
IP
CC

output:

0

result:

ok single line: '0'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3484kb

input:

2 2
PI
CC

output:

0

result:

ok single line: '0'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

2 2
CI
CP

output:

0

result:

ok single line: '0'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3608kb

input:

2 8
???P????
???P??P?

output:

115443

result:

ok single line: '115443'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

2 8
IC???C??
?I?IC?I?

output:

0

result:

ok single line: '0'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3528kb

input:

2 8
?????P??
I???C??I

output:

32562

result:

ok single line: '32562'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3616kb

input:

2 8
?PIC?CP?
?CIPC?IC

output:

0

result:

ok single line: '0'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

2 8
CCCPICPP
PII?PCCP

output:

3

result:

ok single line: '3'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

8 2
P?
??
??
??
I?
??
?P
??

output:

96957

result:

ok single line: '96957'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

8 2
??
C?
??
??
??
??
??
I?

output:

234009

result:

ok single line: '234009'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

8 2
PI
CC
IC
CI
?I
P?
CP
CP

output:

0

result:

ok single line: '0'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

8 2
?C
II
CC
IP
?C
C?
PP
?I

output:

0

result:

ok single line: '0'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

8 2
PP
PC
?I
?C
II
CC
I?
CI

output:

0

result:

ok single line: '0'

Test #19:

score: 0
Accepted
time: 1ms
memory: 3556kb

input:

3 8
????I???
???P????
??????P?

output:

598932682

result:

ok single line: '598932682'

Test #20:

score: 0
Accepted
time: 2ms
memory: 3524kb

input:

3 8
???C????
???????C
I???????

output:

176286317

result:

ok single line: '176286317'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

3 8
?IPCI??I
?C?CIIP?
?PCP?P?C

output:

0

result:

ok single line: '0'

Test #22:

score: 0
Accepted
time: 1ms
memory: 3524kb

input:

3 8
I?IPCCC?
?CPCC?P?
?CCPCC?I

output:

486

result:

ok single line: '486'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

3 8
CPICCCIP
CIP??CPC
CPPPCIPC

output:

4

result:

ok single line: '4'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3484kb

input:

8 3
???
???
???
???
I??
???
?P?
???

output:

181529684

result:

ok single line: '181529684'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

8 3
I??
???
I??
?C?
??P
?I?
CII
C?C

output:

966654

result:

ok single line: '966654'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

8 3
CC?
??I
???
I?C
PCC
C?C
??C
??I

output:

241974

result:

ok single line: '241974'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

8 3
IIP
???
IPI
P?C
I?P
P?C
CPI
C?P

output:

243

result:

ok single line: '243'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3524kb

input:

8 3
PCP
PPP
?CC
CPP
C?P
CP?
CPC
II?

output:

0

result:

ok single line: '0'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

8 8
????????
?P??C?P?
????????
????I???
?P????I?
???C????
????????
C??????I

output:

694454028

result:

ok single line: '694454028'

Test #30:

score: 0
Accepted
time: 2ms
memory: 3648kb

input:

8 8
????I?PI
???PC?I?
????IPC?
?????P??
PPIC????
?P????I?
???????C
C?????C?

output:

943439945

result:

ok single line: '943439945'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

8 8
PPPI????
??P??PIC
?PC??CCP
CPP????I
?II????C
CIPCI??C
C??PPC??
PI?PCCCC

output:

930881552

result:

ok single line: '930881552'

Test #32:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

8 8
IPPI?IPP
ICPC?II?
IICII??I
?PPCPPCC
?C??I?II
?ICCCCCI
PIIP?IIP
?P??II?C

output:

4782969

result:

ok single line: '4782969'

Test #33:

score: 0
Accepted
time: 1ms
memory: 3540kb

input:

8 8
PCPICCPP
IIICIICI
PCCPIC?P
IIPICIIC
CPIC?ICI
PCCI?C??
C?CC?IIC
CCPIPICP

output:

0

result:

ok single line: '0'

Test #34:

score: 0
Accepted
time: 2ms
memory: 3600kb

input:

8 7
???????
???????
??????C
???????
???????
???????
???????
???????

output:

407572405

result:

ok single line: '407572405'

Test #35:

score: 0
Accepted
time: 1ms
memory: 3636kb

input:

8 7
??????P
????P??
PC???C?
P?P????
?CI?P??
?????PI
????C??
C?PCI?P

output:

299705028

result:

ok single line: '299705028'

Test #36:

score: 0
Accepted
time: 1ms
memory: 3540kb

input:

8 7
IP?I?I?
??C??C?
IPC????
P???C??
??IP???
IPI???C
P??PPI?
?PPICCC

output:

945285612

result:

ok single line: '945285612'

Test #37:

score: 0
Accepted
time: 1ms
memory: 3532kb

input:

8 7
?PCPC?C
P?IC?P?
P?ICPPC
?C??P??
P?PICPI
I?CCC?I
I??PCPI
PCIIIPP

output:

24011073

result:

ok single line: '24011073'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

8 7
CIC??II
CCIIPPC
IPCIPCP
IC?IPPI
PPCCPP?
ICPPIIP
PPPCI?I
CIICI??

output:

0

result:

ok single line: '0'

Test #39:

score: 0
Accepted
time: 3ms
memory: 3732kb

input:

7 8
????????
????????
?P??????
????????
????????
????????
????????

output:

335862381

result:

ok single line: '335862381'

Test #40:

score: 0
Accepted
time: 1ms
memory: 3640kb

input:

7 8
CI?P?P??
I?P?I???
??????I?
???PP???
?C????P?
?P??????
?PI?I??I

output:

371435886

result:

ok single line: '371435886'

Test #41:

score: 0
Accepted
time: 1ms
memory: 3616kb

input:

7 8
ICI?II?C
???C????
I?IC??I?
??CC????
C????CCI
P??I??II
C??I?PCP

output:

220669500

result:

ok single line: '220669500'

Test #42:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

7 8
CPI?CP?C
I?P??PPI
P?CCCPP?
PIC?I?PP
IPII?PII
CIPCCP??
IIC???IP

output:

3483891

result:

ok single line: '3483891'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

7 8
IIICICII
IIPPPCIP
ICCP?C?C
CPIP??IC
IIICICII
C?CPPPII
CIPPCPCC

output:

243

result:

ok single line: '243'

Test #44:

score: 0
Accepted
time: 2ms
memory: 3544kb

input:

7 7
???C???
???????
???????
P?????P
???????
I?????C
???????

output:

45031736

result:

ok single line: '45031736'

Test #45:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

7 7
?P?C?I?
?????C?
??I?P??
?CICPCC
???P??I
IIPP?I?
???P???

output:

414440826

result:

ok single line: '414440826'

Test #46:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

7 7
??I?P?C
?I?PIPC
C???PPI
I????PI
PP?I?PC
P?IIC??
IPC??CC

output:

623536432

result:

ok single line: '623536432'

Test #47:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

7 7
I??PCP?
IPP?CCP
IPIP?II
P?CCPP?
?CP???P
PPIC??C
??IPCPP

output:

1751787

result:

ok single line: '1751787'

Test #48:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

7 7
I?PPPPC
CIIICPP
CCCPPPP
PP?PCIP
IIIIIPI
ICIPCII
?ICPPCI

output:

0

result:

ok single line: '0'