QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#516258#6756. 桂花树PCTprobability100 ✓261ms50988kbC++145.0kb2024-08-12 15:14:262024-08-12 15:14:27

Judging History

你现在查看的是最新测评结果

  • [2024-08-12 15:14:27]
  • 评测
  • 测评结果:100
  • 用时:261ms
  • 内存:50988kb
  • [2024-08-12 15:14:26]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#endif
using ll = long long;
using ld = long double;
using ull = unsigned long long;
#define endl "\n"
typedef pair<int, int> Pii;
#define REP(i, n) for (int i = 0; i < (n); ++i)
#define REP3(i, m, n) for (int i = (m); (i) < int(n); ++ (i))
#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(x) begin(x), end(x)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(s) (s).begin(),(s).end()
#define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i)
#define drep(i, n) drep2(i, n, 0)
#define rever(vec) reverse(vec.begin(), vec.end())
#define sor(vec) sort(vec.begin(), vec.end())
#define fi first
#define FOR_(n) for (ll _ = 0; (_) < (ll)(n); ++(_))
#define FOR(i, n) for (ll i = 0; (i) < (ll)(n); ++(i))
#define se second
#define pb push_back
#define P pair<ll,ll>
#define PQminll priority_queue<ll, vector<ll>, greater<ll>>
#define PQmaxll priority_queue<ll,vector<ll>,less<ll>>
#define PQminP priority_queue<P, vector<P>, greater<P>>
#define PQmaxP priority_queue<P,vector<P>,less<P>>
#define NP next_permutation
#define die(a) {cout<<a<<endl;return 0;}
#define dier(a) {return a;}
//const ll mod = 1000000009;
//const ll mod = 998244353;
const ll mod = 1000000007;
const ll inf = 4000000000000000000ll;
const ld eps = ld(0.00000000001);
static const long double pi = 3.141592653589793;
template<class T>void vcin(vector<T> &n){for(int i=0;i<int(n.size());i++) cin>>n[i];}
template<class T,class K>void vcin(vector<T> &n,vector<K> &m){for(int i=0;i<int(n.size());i++) cin>>n[i]>>m[i];}
template<class T>void vcout(vector<T> &n){for(int i=0;i<int(n.size());i++){cout<<n[i]<<" ";}cout<<endl;}
template<class T>void vcin(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cin>>n[i][j];}}}
template<class T>void vcout(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cout<<n[i][j]<<" ";}cout<<endl;}cout<<endl;}
void yes(bool a){cout<<(a?"yes":"no")<<endl;}
void YES(bool a){cout<<(a?"YES":"NO")<<endl;}
void Yes(bool a){cout<<(a?"Yes":"No")<<endl;}
void possible(bool a){ cout<<(a?"possible":"impossible")<<endl; }
void Possible(bool a){ cout<<(a?"Possible":"Impossible")<<endl; }
void POSSIBLE(bool a){ cout<<(a?"POSSIBLE":"IMPOSSIBLE")<<endl; }
#define FOR_R(i, n) for (ll i = (ll)(n)-1; (i) >= 0; --(i))
template<class T>auto min(const T& a){ return *min_element(all(a)); }
//template<class T>auto max(const T& a){ return *max_element(all(a)); }
template<class T,class F>void print(pair<T,F> a){cout<<a.fi<<" "<<a.se<<endl;}
template<class T>bool chmax(T &a,const T b) { if (a<b) { a=b; return 1; } return 0;}
template<class T>bool chmin(T &a,const T b) { if (b<a) { a=b; return 1; } return 0;}
template<class T> void ifmin(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
template<class T> void ifmax(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
ll fastgcd(ll u,ll v){ll shl=0;while(u&&v&&u!=v){bool eu=!(u&1);bool ev=!(v&1);if(eu&&ev){++shl;u>>=1;v>>=1;}else if(eu&&!ev){u>>=1;}else if(!eu&&ev){v>>=1;}else if(u>=v){u=(u-v)>>1;}else{ll tmp=u;u=(v-u)>>1;v=tmp;}}return !u?v<<shl:u<<shl;}
ll modPow(ll a, ll n, ll mod) { if(mod==1) return 0;ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; }
vector<ll> divisor(ll x){ vector<ll> ans; for(ll i = 1; i * i <= x; i++){ if(x % i == 0) {ans.push_back(i); if(i*i!=x){ ans.push_back(x / ans[i]);}}}sor(ans); return ans; }
ll pop(ll x){return __builtin_popcountll(x);}
ll poplong(ll x){ll y=-1;while(x){x/=2;y++;}return y;}
P hyou(P a){ll x=fastgcd(abs(a.fi),abs(a.se));a.fi/=x;a.se/=x;if(a.se<0){a.fi*=-1;a.se*=-1;}return a;}
P Pplus(P a,P b){ return hyou({a.fi*b.se+b.fi*a.se,a.se*b.se});}
P Ptimes(P a,ll b){ return hyou({a.fi*b,a.se});}
P Ptimes(P a,P b){ return hyou({a.fi*b.fi,a.se*b.se});}
P Pminus(P a,P b){ return hyou({a.fi*b.se-b.fi*a.se,a.se*b.se});}
P Pgyaku(P a){ return hyou({a.se,a.fi});}
 
void cincout(){
  ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
  cout<< fixed << setprecision(15);
}
ll dp[3030][2000];
void solve(){
  ll n,m,k;
  cin>>n>>m>>k;
  vector<ll> a(n-1);
  vcin(a);
  for(int i=0;i<=m;i++){
    for(int j=0;j<(1<<k);j++) dp[i][j]=0;
  }
  dp[0][0]=1;
  for(int i=0;i<m;i++){
    for(int j=0;j<(1<<k);j++){
      if(j%2){
        //自分を既に使っている
        (dp[i+1][j/2]+=dp[i][j])%=mod;
        continue;
      }
      //他の頂点を辺に挟んで遷移
      for(int l=0;l<k;l++){
        if((j>>(l+1))&1) continue;
        (dp[i+1][j/2+(1<<l)]+=dp[i][j]*(n+i+pop(j)-1))%=mod;
      }
      //今ある頂点の下 or 辺の間に入れる
      (dp[i+1][j/2]+=dp[i][j]*((n+i+pop(j))*2-1))%=mod;
    }
  }
  cout<<dp[m][0]<<endl;
}
int main(){
  cincout();
  ll c,t;
  cin>>c>>t;
  while(t--){
    solve();
  }
}

详细


Pretests


Final Tests

Test #1:

score: 5
Accepted
time: 1ms
memory: 3592kb

input:

1 15
4 2 9
1 2 3
4 4 1
1 1 1
4 3 10
1 2 3
4 2 10
1 2 3
2 3 0
1
2 2 8
1
2 4 10
1
3 3 0
1 2
3 2 0
1 1
2 2 0
1
2 4 9
1
4 2 0
1 1 1
2 4 1
1
4 4 8
1 1 1
3 3 0
1 2

output:

66
10132
787
66
105
16
1296
315
35
15
1296
63
1110
11384
315

result:

ok 15 numbers

Test #2:

score: 5
Accepted
time: 1ms
memory: 3588kb

input:

2 15
4 2 0
1 1 1
3 4 8
1 2
2 2 9
1
3 4 0
1 1
4 2 9
1 1 1
3 4 2
1 1
3 3 10
1 1
3 3 0
1 2
3 2 0
1 1
3 2 0
1 1
3 4 2
1 2
2 2 0
1
2 2 0
1
4 4 8
1 1 2
3 2 0
1 2

output:

63
4553
16
3465
66
4347
366
315
35
35
4347
15
15
11384
35

result:

ok 15 numbers

Test #3:

score: 5
Accepted
time: 17ms
memory: 3860kb

input:

3 15
25363 0 10
1 2 2 4 5 6 5 7 5 7 7 8 13 11 13 12 17 14 19 20 20 22 23 24 22 26 26 24 28 28 30 32 32 30 34 33 35 34 38 37 41 41 40 40 42 46 45 44 47 49 51 49 51 54 54 56 55 58 57 59 60 62 60 61 64 65 63 65 68 66 70 68 69 74 75 72 76 77 78 77 77 78 79 84 83 83 85 87 89 90 91 90 90 91 93 93 97 95 98...

output:

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

result:

ok 15 numbers

Test #4:

score: 5
Accepted
time: 0ms
memory: 3628kb

input:

4 15
95 1 0
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
81 1 0
1 1 3 3 2 4 4 4 7 8 8 11 11 12 15 16 17 18 19 17 19 22 20 22 24 25 27 24 25 26 28 29 32 33 32...

output:

189
161
157
183
179
179
185
165
161
179
191
159
199
177
195

result:

ok 15 numbers

Test #5:

score: 5
Accepted
time: 7ms
memory: 3788kb

input:

5 15
24238 1 9
1 2 2 3 2 3 7 6 6 8 11 8 13 14 14 13 14 15 15 20 17 21 19 24 25 22 23 28 27 29 28 31 32 34 35 32 35 35 39 37 38 42 39 41 43 42 47 47 45 48 49 52 50 52 51 55 53 57 58 58 60 58 60 64 62 66 66 65 65 69 68 68 73 71 72 73 75 78 77 76 78 82 81 84 82 85 84 87 86 89 90 90 90 90 91 93 94 94 98...

output:

48475
54131
56879
54501
49951
55359
46639
52775
56387
53417
55987
58213
48849
46865
56865

result:

ok 15 numbers

Test #6:

score: 5
Accepted
time: 1ms
memory: 3644kb

input:

6 15
90 2 0
1 1 3 3 4 6 3 5 6 1 4 8 6 3 7 2 8 17 12 1 15 8 10 17 4 7 22 1 16 15 13 17 6 24 18 20 29 24 5 37 26 19 1 36 10 11 1 32 12 29 25 36 43 25 36 35 27 30 48 13 57 43 3 48 20 49 10 42 33 32 15 67 3 72 18 59 45 65 22 47 21 76 44 36 70 31 40 36 75
97 2 10
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1...

output:

32399
37731
39999
28223
29668
37731
36193
26895
35436
39301
33946
31771
30975
24335
36958

result:

ok 15 numbers

Test #7:

score: 5
Accepted
time: 16ms
memory: 3880kb

input:

7 15
23937 2 0
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 ...

output:

291919861
146761194
947431229
721917569
513436690
452531920
95169750
435600974
157568937
921186289
544059002
432348666
320565654
309379121
377927681

result:

ok 15 numbers

Test #8:

score: 5
Accepted
time: 0ms
memory: 4016kb

input:

8 15
1 89 0

1 88 0

1 86 0

1 81 0

1 89 0

1 88 0

1 85 0

1 88 0

1 99 0

1 93 0

1 94 0

1 79 0

1 97 0

1 88 0

1 96 0


output:

643555007
320020087
809556406
776533926
643555007
320020087
414090976
320020087
356146221
792287148
157695640
15616881
389622706
320020087
654868516

result:

ok 15 numbers

Test #9:

score: 5
Accepted
time: 1ms
memory: 5604kb

input:

9 15
1 85 0

1 86 0

1 90 0

1 87 0

1 87 0

1 91 0

1 81 0

1 79 0

1 86 0

1 80 0

1 81 0

1 88 0

1 98 0

1 89 0

1 78 0


output:

414090976
809556406
196345448
53257258
53257258
538525843
776533926
15616881
809556406
483084065
776533926
320020087
976427145
643555007
299462530

result:

ok 15 numbers

Test #10:

score: 5
Accepted
time: 0ms
memory: 49304kb

input:

10 15
1 2600 0

1 2562 0

1 2885 0

1 2926 0

1 2980 0

1 2796 0

1 2809 0

1 2441 0

1 2964 0

1 2384 0

1 2634 0

1 2284 0

1 2732 0

1 2525 0

1 2635 0


output:

980378455
337526154
558193103
125913045
124855760
503883918
199525532
902720193
515375300
777422724
363348923
334557029
939566213
938891504
485461889

result:

ok 15 numbers

Test #11:

score: 5
Accepted
time: 10ms
memory: 6408kb

input:

11 15
1 97 8

1 98 8

1 75 9

1 86 10

1 91 10

1 80 10

1 99 10

1 75 10

1 81 3

1 86 8

1 76 10

1 79 9

1 77 9

1 79 8

1 92 10


output:

201967493
593344966
454636651
58812991
509364979
455029717
399412420
697505560
426878348
397782687
146643903
719871243
754719823
132594531
954628592

result:

ok 15 numbers

Test #12:

score: 5
Accepted
time: 234ms
memory: 50216kb

input:

12 15
1 2419 9

1 3000 8

1 2952 9

1 2911 10

1 2596 8

1 2997 10

1 2479 10

1 2447 10

1 2504 8

1 2325 9

1 2473 10

1 2674 8

1 2817 9

1 2303 8

1 2253 6


output:

897921773
493618043
502033461
163722526
998027298
171201566
988250983
759578319
522233752
644875547
630714473
82369707
754521000
259048908
717777794

result:

ok 15 numbers

Test #13:

score: 5
Accepted
time: 1ms
memory: 5916kb

input:

13 15
96 77 0
1 1 2 2 3 3 4 4 5 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 65 17 9 33 83 76 52 42 17 56 39 82 26 53
89 96 0
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 ...

output:

875522633
817514869
984115449
171618725
413906221
67403237
626927815
102038917
731937401
81736574
147698013
5718686
570093465
291610
736092684

result:

ok 15 numbers

Test #14:

score: 5
Accepted
time: 1ms
memory: 3944kb

input:

14 15
79 92 0
1 2 1 3 2 5 6 6 6 10 7 8 10 13 14 13 15 16 17 18 17 18 21 24 25 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 18 33 33 18 9 48 19 2 6 12 28 3 22 50 5 24 14 10 15 42 11 44 36 38 58 21 9
96 81 0
1 2 3 4 3 2 4 7 7 1 7 10 12 13 1 9 14 6 13 18 4 2 4 14 25 3 3...

output:

69626057
106800079
696160675
125365500
105229737
980457872
857341479
727730150
931017912
72350415
700427628
857341479
458562426
105229737
33015237

result:

ok 15 numbers

Test #15:

score: 5
Accepted
time: 13ms
memory: 49236kb

input:

15 15
27219 2720 0
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50...

output:

512213075
634563835
412223891
885815756
909933373
460122433
143582817
318866407
952581018
559698410
15451972
798343658
240180291
40997907
507956430

result:

ok 15 numbers

Test #16:

score: 5
Accepted
time: 15ms
memory: 49000kb

input:

16 15
23470 2270 0
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50...

output:

613353516
498696894
341174230
524070747
458732519
657246209
497631698
460156266
650070681
438365748
579953962
638226266
303839474
655729798
51100917

result:

ok 15 numbers

Test #17:

score: 5
Accepted
time: 7ms
memory: 6096kb

input:

17 15
94 82 9
1 2 2 3 3 6 6 8 6 10 7 10 13 10 14 14 16 17 18 17 20 18 23 24 22 26 25 27 25 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 59 39 56 52 21 51 66 59 33 68 29 34 62 47 59 76 54 72 40 40 3 4 63 33 44 73 59 18 19 70 25 77
93 86 8
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

57879436
325557854
91787824
410242939
853965973
142189519
742252318
181854803
57653454
102825828
223733805
982035357
963632678
929397289
890046592

result:

ok 15 numbers

Test #18:

score: 5
Accepted
time: 5ms
memory: 4916kb

input:

18 15
78 96 1
1 1 2 2 3 3 4 4 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 52 54 22 16 21 56 64 32 42 64 52 49 19
87 86 9
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1...

output:

76805686
353383610
224346320
111078253
766068511
881559887
431130327
846136820
658010636
340111764
612573560
824188027
435154505
227628660
45266228

result:

ok 15 numbers

Test #19:

score: 5
Accepted
time: 230ms
memory: 50988kb

input:

19 15
26104 2591 3
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50...

output:

352998989
343378163
332642314
329512384
132607327
87163047
200914906
690708263
643035325
490644560
544357196
370133318
274907996
878486015
823925934

result:

ok 15 numbers

Test #20:

score: 5
Accepted
time: 261ms
memory: 50152kb

input:

20 15
22821 2558 8
1 1 1 3 2 4 2 5 5 5 7 7 13 4 15 12 1 17 15 6 10 10 13 20 20 1 16 14 9 9 28 24 14 28 2 28 35 20 30 37 1 9 21 35 42 23 41 11 15 29 10 1 13 6 24 11 11 46 32 39 32 10 59 57 20 24 51 24 60 28 65 16 31 42 25 12 27 28 53 49 15 12 58 73 83 47 7 71 2 2 26 57 82 61 17 17 48 96 23 83 2 41 59...

output:

852082753
663863799
567411082
526354875
894631436
262990076
719766589
173209722
880032338
29895723
506677794
954758703
758235022
133292061
393482362

result:

ok 15 numbers

Extra Test:

score: 0
Extra Test Passed