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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#292649#7559. Bocchi the RockjovanbenginAC ✓6579ms65692kbC++205.4kb2023-12-28 10:22:532023-12-28 10:22:53

Judging History

你现在查看的是最新测评结果

  • [2023-12-28 10:22:53]
  • 评测
  • 测评结果:AC
  • 用时:6579ms
  • 内存:65692kb
  • [2023-12-28 10:22:53]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ld = long double;

#define pb push_back
#define si(x) int(x.size())
#define all(x) x.begin(), x.end()
#define fi first
#define se second

const int N = 50000;
const int C = N + 1;
const int MOD = 998244353;

int add(int a, int b){ a += b; if(a >= MOD) a -= MOD; return a; }
int mul(int a, int b){ return (1LL*a*b)%MOD; }
int sub(int a, int b){ return add(a, MOD - b); }

int pw(int a, int b){
    if(b == 0) return 1;
    int res = pw(a, b/2);
    res = mul(res, res);
    if(b%2) res = mul(res, a);
    return res;
}

const int root = pw(3, 119);
const int root_1 = pw(root, MOD - 2);
const int root_pw = 1 << 23;
 
void fft(vector<int> &a, bool invert) {
    int n = a.size();
 
    for (int i = 1, j = 0; i < n; i++) {
        int bit = n >> 1;
        for (; j & bit; bit >>= 1)
            j ^= bit;
        j ^= bit;
 
        if (i < j)
            swap(a[i], a[j]);
    }
 
    for (int len = 2; len <= n; len <<= 1) {
        int wlen = invert ? root_1 : root;
        for (int i = len; i < root_pw; i <<= 1)
            wlen = (int)(1LL * wlen * wlen % MOD);
 
        for (int i = 0; i < n; i += len) {
            int w = 1;
            for (int j = 0; j < len / 2; j++) {
                int u = a[i+j], v = (int)(1LL * a[i+j+len/2] * w % MOD);
                a[i+j] = u + v < MOD ? u + v : u + v - MOD;
                a[i+j+len/2] = u - v >= 0 ? u - v : u - v + MOD;
                w = (int)(1LL * w * wlen % MOD);
            }
        }
    }
 
    if (invert) {
        int n_1 = pw(n, MOD - 2);
        for (int & x : a)
            x = mul(x, n_1);
    }
}
 
vector <int> multiply(vector <int> va, vector <int> vb){
    int ns = si(va) + si(vb);
    int j = 1;
    while(j < ns) j *= 2;
    while(si(va) < j) va.pb(0);
    while(si(vb) < j) vb.pb(0);
    fft(va, 0);
    fft(vb, 0);
    for(int i=0; i<si(va); i++){
        va[i] = mul(va[i], vb[i]);
    }
    fft(va, 1);
    return va;
}

string arc = " ";
string pt = " ";

int ways_arc(int i, int j){
    if(arc[i] == '?') return 1;
    if(j == 0) return (arc[i] == 'Y');
    return arc[i] == 'P';
}

int ways_pt(int i, int j){
    if(pt[i] == '?') return 1;
    if(j == 0) return (pt[i] == 'R');
    return pt[i] == 'B';
}

vector <int> dp[4*N+5][2][2];

void calc(int node, int l, int r){
    if(l == r){
        for(int fs=0; fs<=1; fs++){
            for(int ls=0; ls<=1; ls++){
                if(fs != ls) dp[node][fs][ls].pb(0);
                else dp[node][fs][ls].pb(ways_arc(l, fs));
            }
        }
        return;
    }
    int mid = (l+r)/2;
    int d = r - l;
    for(int f=0; f<=1; f++){
        for(int l=0; l<=1; l++){
            for(int x=-d; x<=d; x++){
                dp[node][f][l].pb(0);
            }
        }
    }
    calc(node*2, l, mid);
    calc(node*2+1, mid+1, r);
    for(int h=0; h<=1; h++){
        if(!ways_pt(mid, h)) continue;
        for(int f1=0; f1<=1; f1++){
            for(int l2=0; l2<=1; l2++){
                for(int f2=0; f2<=1; f2++){
                    int d1 = mid - l + 1;
                    vector <int> vlv;
                    for(int x=-d1; x<=d1; x++){
                        vlv.pb(0);
                    }
                    for(int l1=0; l1<=1; l1++){
                        for(int x=-d1+1; x<=d1-1; x++){
                            int sm = (l1 == f2 ? 0 : 1)*(abs(x)%2 ? -1 : 1)*(h ? -1 : 1);
                            vlv[x+d1+sm] = add(vlv[x+d1+sm], dp[node*2][f1][l1][x+d1-1]);
                        }
                    }
                    vector <int> p, np;
                    for(int x=-d1; x<=d1; x++){
                        int v = (abs(x)%2 ? -1 : 1);
                        p.pb(0);
                        np.pb(0);
                        if(v == 1) p.back() = vlv[x+d1];
                        else np.back() = vlv[x+d1];
                    }
                    vector <int> v1 = multiply(p, dp[node*2+1][f2][l2]);
                    v1.pb(0);
                    vector <int> r2 = dp[node*2+1][f2][l2];
                    reverse(all(r2));
                    vector <int> v2 = multiply(np, r2);
                    v2.pb(0);
                    for(int x=-d; x<=d; x++){
                        dp[node][f1][l2][x+d] = add(dp[node][f1][l2][x+d], add(v1[x+d], v2[x+d]));
                    }
                }
            }
        }
    }
}

int main(){
    ios_base::sync_with_stdio(false), cin.tie(0);
    cout.precision(10);
    cout << fixed;

    int n;
    cin >> n;
    string s;
    cin >> s;
    for(int i=0; i<si(s); i+=2){
        arc += s[i];
        pt += s[i+1];
    }
    calc(1, 1, n);
    int res = 0;
    for(int fs=0; fs<=1; fs++){
        for(int ls=0; ls<=1; ls++){
            int c = n - 1;
            if(fs == ls){
                for(int h=0; h<=1; h++){
                    int x = mul(dp[1][fs][ls][c], ways_pt(n, h));
                    res = add(res, x);
                }
            }
            else{
                for(int h=0; h<=1; h++){
                    int sm = -1*(h ? -1 : 1);
                    int x = mul(ways_pt(n, h), dp[1][fs][ls][c-sm]);
                    res = add(res, x);
                }
            }
        }
    }
    cout << res << "\n";
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 22296kb

input:

2
????

output:

12

result:

ok 1 number(s): "12"

Test #2:

score: 0
Accepted
time: 0ms
memory: 22304kb

input:

3
??YR?B

output:

4

result:

ok 1 number(s): "4"

Test #3:

score: 0
Accepted
time: 4ms
memory: 22304kb

input:

5
YBYRPBYRYB

output:

0

result:

ok 1 number(s): "0"

Test #4:

score: 0
Accepted
time: 0ms
memory: 22316kb

input:

10
PRPBPRPRPRPBYB?R?BY?

output:

3

result:

ok 1 number(s): "3"

Test #5:

score: 0
Accepted
time: 0ms
memory: 22524kb

input:

10
?R?R?BYB?R?R?B?B?BYR

output:

96

result:

ok 1 number(s): "96"

Test #6:

score: 0
Accepted
time: 4ms
memory: 22308kb

input:

10
YRPRYRY???P?YB?BYRY?

output:

32

result:

ok 1 number(s): "32"

Test #7:

score: 0
Accepted
time: 2ms
memory: 22604kb

input:

10
PBYBPRPBYRPBYRYBPRPB

output:

0

result:

ok 1 number(s): "0"

Test #8:

score: 0
Accepted
time: 4ms
memory: 22336kb

input:

10
PBPRPRYBYRYRYB?B?RYB

output:

0

result:

ok 1 number(s): "0"

Test #9:

score: 0
Accepted
time: 0ms
memory: 22312kb

input:

10
PRP?PBPRYR??Y?YRPB?R

output:

12

result:

ok 1 number(s): "12"

Test #10:

score: 0
Accepted
time: 4ms
memory: 22300kb

input:

10
?RYB??P??B?B?B???RPR

output:

416

result:

ok 1 number(s): "416"

Test #11:

score: 0
Accepted
time: 3305ms
memory: 65692kb

input:

50000
YBPBYRPRPRPRPBPRPBPBPBYRPRPBPBYRPBPRYBYBPBPBPRPBPBYRYBYRPBYRYRPBYRYRYRPBYBYRPBPBYBYBPBYRPBPBYBYBYRPBPRYBPBYBPRPRYBPRPBYBPRPBYRPBYBPRYBPBPBYRYBYBYBPRYBYRPRPRPRPRYRYBPBPBPBPRPRYBYRYBPRPRPRPBYBPBPRYRPRPBYRPBYRYRPBYBYBPBYRYRPBPRYBPRYBPBPBYRPBPBYBYBPRPBYBYBYRYRPBPRPRPRPRPRYBPBPBPRYBYRPRPRYBYRPRPBYR...

output:

0

result:

ok 1 number(s): "0"

Test #12:

score: 0
Accepted
time: 3309ms
memory: 65516kb

input:

50000
YRPBPBYRYRYRYBYBYRPBPBPBPBPBYRYBPBPRYBPBYRYRPRYBYBYBYRPRPBPBPRYRPBYBYBPBYRYRPRPBPBPBPRYBYBYRYRPRPRYBPRPBYRPBPRYRPRYBPRYBYBYRYRYBYRYRYBYRPBPBPBYBPBPRPBPRYRPRYBYBPBPRPBPBPRPRPBYRYRPBPBPBYRPBYBYBYRPBPRPBPRYBPRPRYBPRPBPBYRYRYRYBYRPRPRYBYBYBPBPRPBPRYRYRPRPRPBPBPRPRPBYBYRPRPRPBYBYRPBYBPRPRPRPRPRPBPB...

output:

0

result:

ok 1 number(s): "0"

Test #13:

score: 0
Accepted
time: 3328ms
memory: 65480kb

input:

50000
PRPRYBPBYBYBPBYRPBYRYBPBPBPRPRPBYBYRPRPRPRPRPRYRYBYRPBPBPRYRPRPBPRPBPRPRPRPBYRYRYRPBYBYRYRPRPRPRPRYBYBYBYBPBPRPBPBPRYRPRYRPRPRYRPRPBPBYRYBPRPRYRPBPBYBYBPBYRPBPRYRPRYRYBPBPBPRPBPRPRPRYBPBPBYBYBPRYRPRYRPBYRYBYRYRPBYBPBPRPRYRPRYBYRPRPRYBYBYBPBYRYRYRYRYRYRPBYBYRYRYBYRPRYRPBPBYBYRYBPBYBPRYBPBYRYBPR...

output:

0

result:

ok 1 number(s): "0"

Test #14:

score: 0
Accepted
time: 3317ms
memory: 65632kb

input:

50000
YRPRPBPRYRYRPRYBPBYRPRPBYRYRYRPBPBYRPRYBYBYBPRYRPBPRPBPBYRPRPRPBPBYBYBPRPRPRYRYRYBYRPBYBPBPRYBPRYBYBYBPBYBYBPBPBPRYRPRPBYRYBYRPRYBYRPRYRPRPRYRPBYRYRYBYRYRPRYRYRPBPRPBYRYRPBYRPBPBPBPRPBYBYBPRYBPBPBYRYRYBYRPRPBPRYBPRPBYRPBYBYBPBPRPBYRYRPRPBPRPBPBYRPRPBYRPRPRYRYRPBYBYBPBPBYBPBYBYRYBYRPBPBPBPRYRPB...

output:

0

result:

ok 1 number(s): "0"

Test #15:

score: 0
Accepted
time: 3297ms
memory: 65628kb

input:

50000
YBPBYRPRYRPRPBPBYBYRPBYRPBPRPRPBPBPBYRYBYRPBYRYRPBYRPRPRYBPRYRYBYBPRPRYBYBPRPRPRYRPRYBPRPBYRPBYRPBYRPRPBPBPRPBPBYRYBPRPBPBPBPBYRYRPRPRYBYRPRYBYBYBYBYRYRPBPRYRYRPRYBPRPBPRPRPRPRPBPRPBYBPBPBPBYRPBYBPBPRPBYRPRPRYRYBYRPRPBPRYBYRPBPRPBPRYRPRYBYRYBYBPRPRPRPBYRPBPBYRYRPBPRYBPRYBPRYBPRYBYRPBYBPBPBYRPR...

output:

0

result:

ok 1 number(s): "0"

Test #16:

score: 0
Accepted
time: 422ms
memory: 26348kb

input:

5000
PR?BPB?BY?PRY??RPB?R??YBY?P?YRPBYBPRP?YBYBYRPRPB?BPBPR?RYR??Y??RYR?BPRYR?RPRP?Y?PRY?Y?YB??PBYRYR?RPB?BPB?BY?P?Y?YBY??RPB?BPRPBY???PRP?YB?R?RP?PR?BPB???R?B?RP?PBYB?BPRYBP?P??B?RPRP???P???PRYB?RYRP?Y??RPR?BP?PR?BPBPRYR?B??PB??YBPB?B?BY?YB?RY?PR?RYB???BYBP?Y??RYRYB?RYBYBPBYRYBP?YBYR?RPBYBY?YRP??R?...

output:

101508706

result:

ok 1 number(s): "101508706"

Test #17:

score: 0
Accepted
time: 398ms
memory: 26428kb

input:

5000
Y?P?PBYBYBPBYB?RYBPRPB?B??YRY??RP?PB??P??BYR?B?BP??R?R?R?BYBP??BY?Y?PBY?Y?YR?RY?PRPR?R?RPR?RPR?BYR?B?B?RPRPR?RP?Y?YRP?Y??RYB????YRY?YR?BP?YB?B??Y??B?RPBYR?RP????B?RPR??????P?PRPR?RP?PR?????BP?P?YB?BYRP?PBP?YBYB?RPR?R?B?BYRYR?RPBPBY??BYBPRYRPBPB?R?RPR?BYBP?YRY?PR?BPR?RY????BYBYB?RYRP???Y???PBY?Y...

output:

748282195

result:

ok 1 number(s): "748282195"

Test #18:

score: 0
Accepted
time: 387ms
memory: 26568kb

input:

5000
P?PRPRPBP??RYB??YBPBYRYB?BP?YB?B?BY??R?BYRP??BPRY?YBYB?RY????B??????PB?RP?P??R?BPB?BY?PR?RPBPBPR?BY?YB?BYBYRYBYRYBY?Y??RP?YR?R?R?BY?PBY??RYBPBYBYBY?PBY?P?YB?RYR???RY?YBY?YRYRY?PBY?P?PBYRPRY?PBP???PBYRPRY?Y?P?P?Y?PR???B?B?RP???PBY?P?PR???BP?PR????P?YB??YR??YRYBYR?B?BP??BPB??P?Y?PRYRY?YB??YR?RY?Y...

output:

24097861

result:

ok 1 number(s): "24097861"

Test #19:

score: 0
Accepted
time: 390ms
memory: 26324kb

input:

5000
??PBPRYBPR??PRP?PRYBY???P?YRPBYBY?YR?RYR??Y?P?YRPR?BPBY?PRPRYB?RYBY?P?????YBPBYBY?Y??BY?PB???BP?P?Y???YR??YBP???YRYB?BPBPRP???PRY??B???BPB???R?RP?PB???BYRP?YB?BP??RP?PBYRPRPR??P??RY????B?????RP?YBYBPRYBYB?RYRYBP??RPB??YRPBY?PBPBP?YRYBPR?BPRYBPB???BYR?RY?PB?RYRY??BYRP?Y?YRP?PRPR????Y?PRPRYBP?YBP...

output:

447561693

result:

ok 1 number(s): "447561693"

Test #20:

score: 0
Accepted
time: 370ms
memory: 26596kb

input:

5000
P?P?P??????BPR?RY?PR??Y?Y??BPR??PB?B??PRP?YB???RPRPRPBY??R??PRYBYR?RPR?BP??R?B?RYRPRP??B?BYRY??R?RP???P?PRP??RY??RY?YBY???????P?Y?PBPRYBPRYRY?P?PB?BPR??P?Y?Y?Y?PR?RPB??Y??BYRP?PRPRY??R?RYBPR??YBP??B?RPRYBPR?BP??BYBYBPRYRPBPRPRY?Y?YBYRPBP?PB??Y?P??????R?BPBYR???BPR?B?R???BYR?BP?P?Y?YRY?PR??YBYB?...

output:

987042679

result:

ok 1 number(s): "987042679"

Test #21:

score: 0
Accepted
time: 295ms
memory: 26340kb

input:

5000
PRPBPRPRYRPRPBYBPBPBYRPBPBPBYRYRYBPBYRPRYBPBPRYBPBYRPRYBYRYRPBPBPBPBYRPBYRYBYRPRYBPBPBPRYBPRYBYBPRPBPBYRYBPRPBYRYRPRYBPRPRPBYRPBYRYRPRPRYRYRYBYBPBPBPBPRPRPBPRPRYRPBYRYRYRPBPRPRYRPRPBYBYBPBPRPRYRPBPRYBPRYBPRPRYRPRYRPBPRYBPRPRYBYRPBYRPRYBPRPRYBYRPRYRYBPRYBPRPBPRPRPRYBYRYRYRYRPBPRPBPRPBPRPBPRYRYBY...

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 286ms
memory: 26344kb

input:

5000
PRYRYBPBPRYRYRYRPBPBYBYRPBPBYRPRPRYBYRPRYRPBPRYBPBYRPRYRYRYBPBPBYBPBYBPBYRYRYRYRYBYRPRPBYRYBPRYBYBPRPRPBYRYRYRPBYBPBPRPRYRPRPBPRYBYBPBPBYBPBPBPRPBYRYRYRYRPRYBYBPBYBYBPBYBYRPRYRPRPRYBYRYBYRYRYBYBYRPBPRYRYRPRPRPRPRYRPRYRYRPBYBYRPBYBPBPRYBPBYBPBPRYRYRPBPRPRPBPRYRPRYBPBYRPRYBPBYRYBPRPRYRYBYBPRPBYBP...

output:

0

result:

ok 1 number(s): "0"

Test #23:

score: 0
Accepted
time: 298ms
memory: 26400kb

input:

5000
PBYRYRYBYBPBYBYBPBYBYRPRYBYRPRPBYRYBPRYBPRPRYRYRPBYRYRPRYRYBPBYBPBPRPBPRPBPBP?YRPBYBYBPRPRPBPRYRPRYBPRYRYBYRPRYBYBPBYRPBPBYBYRYBPRPBYRYBPBYBYRYRYRPRPRYBYBPRYRPRYBYBYBPRYBPBYRYBPBPRPRPBYBYRYBYRPRYBYBYBYBYBPBYRPRPRPRPRYBYRPRYRYRYBYRPBYRPBPRPRYBPBYBYRPRYBPRYBPRPRPRPBYRPRPBYRYBY?PRYRYRYBPRYRYBYRYBY...

output:

172032

result:

ok 1 number(s): "172032"

Test #24:

score: 0
Accepted
time: 443ms
memory: 26656kb

input:

5000
????YRPB??PB??Y?Y??R??P?PRY?P??B??PBPBP???PRP??RY??RP?YRYB?R?BY?P??B?B??Y??R?RYRYRP???P?YBPR?R????YBP???P????R?R?BPR??Y?Y?YBP?Y??RY???PR??????P?P?Y??B?R?????B??Y?Y??BY??B?B???RYR???R?RY??RP?PR?RY?PB??Y?P?P???P??B?R??YR?BYRY??????R??Y??RYRPBYR??Y?P?P??B?RP?Y??B?BPBP?P???Y??B?RY?YBYB?RYRYRYBYB???...

output:

589400951

result:

ok 1 number(s): "589400951"

Test #25:

score: 0
Accepted
time: 577ms
memory: 26352kb

input:

5000
???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????...

output:

312356960

result:

ok 1 number(s): "312356960"

Test #26:

score: 0
Accepted
time: 4536ms
memory: 65628kb

input:

50000
YR?BPR?BP??B??YBY?PRY?PRYB??PB?BPBY??R???RPR??Y?Y???PR???BPBPRPRY?Y?P?Y?P?YR??YR?RP?YRP??B?B???R??YR?BPR?B?R?R??Y?YBYRPR?BPBPRPRPB??YBPR??PR??Y??RYBY??RPRPB??YBPR??PBY?PBPBPRPRPRYRYB??YR?BYRP?P??RYR?R?R?RPBP?Y?YR??YBYR??YRYR???BPRPR???BP??B?BPBYBYBYR?B?RPRPBP?P?YBPB?R?BPBPR?BP?PRYRPB?BY?Y??B?B...

output:

61578469

result:

ok 1 number(s): "61578469"

Test #27:

score: 0
Accepted
time: 4711ms
memory: 65572kb

input:

50000
Y??RPRP?PBYR?BPRPBYB??YBP?PBPB?????B?BYRYBPBYBPRPRYBP?P?YB?B??PBY?PB?R?RPR?RYBY?Y?PBY????B??YBYRPRY??BYR??PRPBP?P?P?Y?YBPRPBYBPRP???Y?P??RPBYBPBY??BY?Y?YRPB??Y?PBYB??P?Y?PRYBY?YBY??R?B??PR???BYRYB?RPBPBPBPR?RP??BYRYB?BP?PRP?P?YBPRP?PBYR???R?RPBP?P?YB?RPR?RYRP??B?RYRYRYBP??B???BYRYRPB??YRPRYBPB...

output:

21239954

result:

ok 1 number(s): "21239954"

Test #28:

score: 0
Accepted
time: 4185ms
memory: 65448kb

input:

50000
YR??PB?BP???YRP??BYRPRP?P?PRPRPR?RPRPBYBPBY??B?B?RPRPBYRP??R?B??PR??P?PR?RYBPRPRY????R?R?RY??B?RYB?R?B?BYBPB??YRYRYBY?P?PR?B?RP??RP?YRPRYBPBYB?BYBP????RYRYR?BPRP?YRY?PB???BP??????BPR?RP?YBPB?RY?PBPBP??BYRP?YBYRP?YBYB?RPRYBYBP?YBY?YB?R??PBYBY?PB?R????P??BPRPRPRY???P???PBPRYRYB?RP?YBYRYRY????RP?...

output:

268137953

result:

ok 1 number(s): "268137953"

Test #29:

score: 0
Accepted
time: 4433ms
memory: 65624kb

input:

50000
P???PR?RYBPB?RPBYB??YR??PB??YBPBP?Y?P??R?RYBPRPBYB??YB?R????YR?RPRPB?RYB?RPRP???PBYBY?YB?BYR??PR?B???B?R?RPR?RPR??PR?BYBPR????P???P?YRPR??P?PRYRYB?BYBY???P?PB?R??P??RYBPB?R?RYB???B????PRPRYR???BYRYR?B??PBP???PRP?P?YR??YRP??B?BY?Y?PRPRPRYRYRYRPRY?Y??RPBY?YR?BPRPB?R?BYR?BY??BY?P?Y?YBYRYBYRY?P??R...

output:

903429393

result:

ok 1 number(s): "903429393"

Test #30:

score: 0
Accepted
time: 4499ms
memory: 65464kb

input:

50000
P??RPBYB?RP?Y??BPBPBPBYRPRPBYRP?YR??P?PBY?Y?????PRYBPBP?Y??BY??BPR?BYB???R?B??YBYRP??BP?YBPRP?YBP?P?Y?PR??YRPBYBPR?BPBY?PRY??RP???PRYBP?YRP?P??R??P?YBPR??P?PRYB?BPRYRYBP??BYB?RP??RPB??PR?R??YBPR?B??YBY?Y???P??BYRP????RYB?RYR?BP?YBP?P???P?PB??PR?RP?PR?R??P?YB?B??P?YRY?Y??RY?P?YBYBYRYRY?YRPBYBYB...

output:

360140728

result:

ok 1 number(s): "360140728"

Test #31:

score: 0
Accepted
time: 3323ms
memory: 65476kb

input:

50000
PBYRYRYBYRYBYRPBYRPBPBYBYRYBYBPRPBYRYRYBYRPBPRYBYRYRYRYBYRYRYRPRYBYRPRPRPRYRPBYRPRPBYRPBYRYRPBYRYBPRYRPRYBYBYRYBPRPBYBPRPRPRYRPRYRPRYRPBYBPRPRYRYRPRPRPBYRYRYRPRPBPRPRYRYRYBYRYRYRPBYBYRPBPBYRPRPBPRYBPRPBYBPBPBPBYRYRPRPBYRPBYRYBPRPBYRYBPBPRPRPBYBPRYRPBYBYBYRPRYBYBYBPBYBPBPRYRYRYRPRYBYBYBPBPBYBPR...

output:

0

result:

ok 1 number(s): "0"

Test #32:

score: 0
Accepted
time: 3300ms
memory: 65520kb

input:

50000
PRYRPBPRYRYBYRYBYRYRYRPRPBPRPRYBYBPBYRPRYRYRYRYRPBYBPRPRPRPRPRPRYBPRPBYBPBYBYBYRPRPBYBYBYBYBPRPBYBPBPRYRYBYBPBYRYBYRPBYRYRYRYBYBYRYBYRPRPBPBPBPBPBPRPRYBYRYRPBPRPRYBYRPRYRYRYRYRPRPRYRPBPRYRYRPBYBPRPBYRYRYBYRYBPRYBYRYRPRYBYBPRPBYRPBYBYRYRYRYBPBPRPBYBPBYRYBYRPBPBYBPRYBYRYBPBYRYRPBYBPBYBPRPBYBYRYB...

output:

0

result:

ok 1 number(s): "0"

Test #33:

score: 0
Accepted
time: 3315ms
memory: 65468kb

input:

50000
PBPRPBYRPRYBYBYRPBPBYRPBPRPBPBPBYRPBYBYRPRYBPRPRYRYBPBPBYRPRYRYRPBYRYRPBPBYRPBPBYRPBYRYBYRYBYBYRYBPRPBYRYRYRPBYRPBYBPRYRYBPRYBYBYRPBPRYRYRYBYRPBPBPBPBPRYBYRPBYBYRYRYBYRYRYBYRPRYRPBYRPBPRYBYRPBPBYRYRPRYRYRYBPBYRPRPRPBPRPRYRPBPBYBPBPBYBYBYBPBYBPRPBYBYRPRPBYBPRPBPRPBYRPBPRYRPRYRYRYBPRPRPRYRPBYBPR...

output:

0

result:

ok 1 number(s): "0"

Test #34:

score: 0
Accepted
time: 4685ms
memory: 65452kb

input:

50000
?BY???P????RPB??P???YB?R?BY?YR????PR??P???????P?YRP?PRY?PB??Y?YR???B??Y?YR?BPRYR?B?B?BPRY?Y???PRY?PBYBPRP?Y?PBY?YRP?PR?R??PRYRY?Y?Y?Y?P?PBPB?RP?PRY?P???PRY???P???P???PB?B?B?B?B?BYBP?PR????P??BYRY??????R?B??P?????PBY??R?B??Y?YB??PBPB?B???R?BP??B?BPB?R????YR????YBP?P?YR????Y?PRPB??Y????R?R?RY??B...

output:

908700788

result:

ok 1 number(s): "908700788"

Test #35:

score: 0
Accepted
time: 6579ms
memory: 65472kb

input:

50000
??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????...

output:

422064317

result:

ok 1 number(s): "422064317"