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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#615695#9353. Interesting Permutationsanbi52AC ✓91ms4176kbC++174.1kb2024-10-05 19:48:232024-10-05 19:48:24

Judging History

你现在查看的是最新测评结果

  • [2024-10-05 19:48:24]
  • 评测
  • 测评结果:AC
  • 用时:91ms
  • 内存:4176kb
  • [2024-10-05 19:48:23]
  • 提交

answer

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

typedef long long ll;
        
constexpr int MOD = 1e9 + 7;

struct mint{
    int val;
    mint(ll x = 0){
        while(x < 0) x += MOD;
        val = x % MOD;
    }
    mint pow(long long b) const{
        mint res = 1;
        mint a = mint(val);
        for ( ; b; b >>= 1, a *= a){
            if(b & 1)res *= a;
        }
        return mint(res);
    }
    mint operator - () const{
        return mint((MOD - val) % MOD);
    }
    mint inv() const{
        return this -> pow(MOD - 2);
    }
    mint &operator += (const mint &rhs){
        val = (0ll + val + rhs.val) % MOD;
        return *this;
    }
    mint &operator ++ (int null){
        return *this += 1;
    }
    mint &operator -= (const mint &rhs){
        val = (MOD + val - rhs.val) % MOD;
        return *this;
    }
    mint &operator *= (const mint &rhs){
        val = 1ll * val * rhs.val % MOD;
        return *this;
    }
    mint &operator /= (const mint &rhs){
        return *this *= rhs.inv();
    }
    bool operator == (const mint &rhs){
        return this -> val == rhs.val;
    }
    bool operator != (const mint &rhs){
        return !(*this == rhs);
    }
    friend mint operator + (const mint &lhs, const mint &rhs){
        mint res = lhs;
        return res += rhs;
    } 
    friend mint operator - (const mint &lhs, const mint &rhs){
        mint res = lhs;
        return res -= rhs;
    }
    friend mint operator * (const mint &lhs, const mint &rhs){
        mint res = lhs;
        return res *= rhs;
    }
    friend mint operator / (const mint &lhs, const mint &rhs){
        mint res = lhs;
        return res /= rhs;
    }
    friend mint operator + (const mint &lhs, const ll &rhs){
        mint res = lhs;
        return res += mint(rhs);
    } 
    friend mint operator - (const mint &lhs, const ll &rhs){
        mint res = lhs;
        return res -= mint(rhs);
    }
    friend mint operator * (const mint &lhs, const ll &rhs){
        mint res = lhs;
        return res *= mint(rhs);
    }
    friend mint operator / (const mint &lhs, const ll &rhs){
        mint res = lhs;
        return res /= mint(rhs);
    } 
    friend istream &operator >> (istream &is, mint &a){
        ll v;
        is >> v;
        a = mint(v);
        return is;
    }
    friend ostream &operator << (ostream &os, const mint &a){
        return os << a.val;
    }
    mint sqrt(){
        mint a = 1;
        while((a * a - *this).pow((MOD - 1) / 2) != mint(-1))a++;
        mint real = 1, imagin = 0;
        mint l = a, r = 1;
        for(int n = (MOD + 1) >> 1; n; n >>= 1){
            if(n & 1){
                mint tmpl = real * l + imagin * r * (a * a - *this);
                mint tmpr = real * r + l * imagin;
                real = tmpl, imagin = tmpr;
            }
            mint tmpl = l * l + r * r * (a * a - *this);
            mint tmpr = l * r * 2;
            l = tmpl, r = tmpr;
        }
        assert(imagin.val == 0);
        return real;
    }
};

vector<mint> fac(1, 1), invfac(1, 1);

mint C(int n, int m){
    if(n < 0 || m < 0 || n < m)return 0;
    while(fac.size() < n + 1){
        fac.push_back(fac.back() * int(fac.size()));
        invfac.push_back(1 / fac.back());
    }
    return fac[n] * invfac[m] * invfac[n - m];
}

mint A(int n, int m){
    if(n < 0 || m < 0 || n < m)return 0;
    while(fac.size() < n + 1){
        fac.push_back(fac.back() * int(fac.size()));
        invfac.push_back(1 / fac.back());
    }
    return fac[n] * invfac[n - m];
}
    
void solve(){
    int n;
    cin >> n;

    vector<int> a(n);
    for(int i = 0; i < n; i++){
        cin >> a[i];
    }

    if(a[0] != 0 || a[n - 1] != n - 1){
        cout << 0 << "\n";
        return;
    }

    mint ans = 1;

    for(int i = 1; i < n; i++){
        if(a[i] < a[i - 1])ans *= 0;
        else if(a[i] != a[i - 1])ans *= 2;
        else ans *= a[i] + 1 - i;
    }

    cout << ans << "\n";
    return;
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    int t;
    cin >> t;
    while(t--)solve();
    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: 0ms
memory: 3592kb

input:

3
3
0 2 2
3
0 1 2
3
0 2 3

output:

2
4
0

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 62ms
memory: 3888kb

input:

10039
14
5 6 7 8 9 10 11 12 13 13 13 13 13 13
14
0 5 6 7 8 9 10 11 12 13 14 14 14 14
1
1
14
0 5 4 8 9 10 11 12 13 13 13 13 13 13
45
0 1 1 2 2 3 5 5 6 6 8 9 11 13 15 17 18 18 20 22 22 24 26 26 26 26 27 27 27 28 30 32 32 33 34 34 34 36 36 38 38 38 39 39 44
24
0 2 3 5 7 9 9 10 11 12 13 14 14 14 14 15 1...

output:

0
0
0
0
0
0
24576
0
0
0
0
0
658159182
0
805306368
8
572589350
12288
2
0
981283070
0
0
2
0
0
0
0
4423680
0
0
14155776
16
0
768
0
0
0
855189487
0
2
0
0
0
0
2
0
2
797370259
0
0
0
0
4
0
0
0
301989888
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
192
0
0
12288
0
0
2
8
0
0
495514526
0
0
955131071
768
0
0
147456
0
0...

result:

ok 10039 lines

Test #3:

score: 0
Accepted
time: 91ms
memory: 4176kb

input:

20
100000
0 1 2 3 5 6 7 9 10 10 12 12 12 13 14 15 17 17 18 19 21 22 24 26 28 28 28 28 29 31 32 34 35 36 38 39 39 39 41 41 42 44 45 47 48 49 51 53 54 56 58 58 58 60 62 62 64 64 64 66 66 66 66 68 70 70 71 72 72 74 74 75 76 77 77 78 80 80 82 82 84 85 86 86 88 88 89 90 91 91 93 93 95 97 98 100 101 103 1...

output:

202795881
940225306
406525679
536765675
729062616
366047380
66289678
199278830
570456350
993317415
17778389
674797620
787821942
841428534
632185280
579006079
822641126
664256526
482813708
821188194

result:

ok 20 lines

Test #4:

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

input:

1
14
5 6 7 8 9 10 11 12 13 13 13 13 13 13

output:

0

result:

ok single line: '0'

Test #5:

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

input:

1
14
0 5 6 7 8 9 10 11 12 13 14 14 14 14

output:

0

result:

ok single line: '0'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

1
1
1

output:

0

result:

ok single line: '0'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

1
14
0 5 4 8 9 10 11 12 13 13 13 13 13 13

output:

0

result:

ok single line: '0'

Extra Test:

score: 0
Extra Test Passed