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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#771156#7219. The Mighty SpellASnownWA 3ms8220kbC++174.8kb2024-11-22 10:14:172024-11-22 10:14:26

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 16:49:37]
  • hack成功,自动添加数据
  • (/hack/1236)
  • [2024-11-22 10:14:26]
  • 评测
  • 测评结果:WA
  • 用时:3ms
  • 内存:8220kb
  • [2024-11-22 10:14:17]
  • 提交

answer

#include<bits/stdc++.h>
#define file(F) freopen(#F".in","r",stdin),freopen(#F".out","w",stdout)
#define lowbit(x) ((x)&-(x))
#define ALL(x) (x).begin(),(x).end()
#define debug(...) fprintf(stderr,__VA_ARGS__)
#define popc(x) (__builtin_popcountll((x)))
#define abs(x) ((x)>=0?(x):-(x))
using namespace std;
using ll=long long;
using uint=uint32_t;
template<typename T>
inline bool Max(T &x,T y) { return std::less<T>()(x,y)&&(x=y,true); }
template<typename T>
inline bool Min(T &x,T y) { return std::less<T>()(y,x)&&(x=y,true); }
void Solve();
namespace asnown {
using i32=int32_t;
using u32=uint32_t;
using i64=int64_t;
using u64=uint64_t;
using i128=__int128_t;
using u128=__uint128_t;
constexpr i32 inverse(i32 a,i32 m) {
   i64 r=1;
   while(a>1) { r=r*(m-m/a)%m,a=m%a; }
   return r;
}
template<i32 m>
class static_modint { 
   using mint=static_modint;
public:
   constexpr static_modint() : v(0) {}
   constexpr static_modint(i32 v) : v(normal(v%m)) {}
   constexpr static_modint(u32 v) : v(v%m) {}
   constexpr static_modint(i64 v) : v(normal(v%m)) {}
   constexpr static_modint(u64 v) : v(v%m) {}
   constexpr static_modint(i128 v) : v(normal(v%m)) {}
   constexpr static_modint(u128 v) : v(v%m) {}
   constexpr u32 normal(i32 v) { if(v>=m) v-=m; return v+((v>>31)&m); }
   constexpr u32 val() const { return v; }
   constexpr static u32 mod() { return m; }
   constexpr explicit operator bool() const { return v; }
   constexpr mint inv() const { assert(v!=0); return mint(inverse(v,m)); }
   constexpr mint pow(i64 b) const { assert(b>=0); 
      mint a=*this,res=1; for(;b;b>>=1,a*=a) if(b&1) res*=a; return res; }
   constexpr mint operator+() const { return *this; }
   constexpr mint operator-() const { return mint()-*this; }
   constexpr mint& operator+=(const mint &p) { return v=normal(v+p.v),*this; }
   constexpr mint& operator-=(const mint &p) { return v=normal(v-p.v),*this; }
   constexpr mint& operator++() { return (*this)+=1; }
   constexpr mint& operator--() { return (*this)-=1; }
   constexpr mint& operator++(i32) { auto tmp=*this; return ++*this,tmp; }
   constexpr mint& operator--(i32) { auto tmp=*this; return --*this,tmp; }
   constexpr mint& operator*=(const mint &p) { v=i64(v)*p.v%m; return *this; }
   constexpr mint& operator/=(const mint &p) { return *this *= p.inv(); }
   constexpr friend mint operator+(const mint &p,const mint &q) { return mint(p)+=q; }
   constexpr friend mint operator-(const mint &p,const mint &q) { return mint(p)-=q; }
   constexpr friend mint operator*(const mint &p,const mint &q) { return mint(p)*=q; }
   constexpr friend mint operator/(const mint &p,const mint &q) { return mint(p)/=q; }
   constexpr friend mint operator++(mint &v,i32) { auto tmp=v; v+=1; return tmp; }
   constexpr friend mint operator--(mint &v,i32) { auto tmp=v; v-=1; return tmp; }
   constexpr friend std::istream& operator>>(std::istream &is,mint &a) { i64 v; is>>v; a=v; return is; }
   constexpr friend std::ostream& operator<<(std::ostream &os,const mint &a) { os<<a.val(); return os; }
   constexpr bool operator==(const mint& p) const { return val()==p.val(); }
   constexpr bool operator!=(const mint& p) const { return val()!=p.val(); }
private:
   u32 v;
};
using modint998244353=static_modint<998244353>;
using modint107=static_modint<1000000007>;
};
using mint=asnown::modint107;
const int N = 2e5+25,M = 55;
int n,m;
int a[N];
mint f[N],g[N];
int pre[M],bot[M];
int cnt[N][M];
mint ans[N];
signed main() {
#ifndef ONLINE_JUDGE
#endif
   cin.tie(nullptr)->sync_with_stdio(false);
   Solve();
}
void Solve() {
   cin>>n>>m;
   for(int i=1;i<=n;i++) {
      mint x=i;
      f[i]=2*x*x*x+3*x*x+3*x+3;
   }
   g[1]=f[1];
   for(int i=2;i<=n;i++) g[i]=f[i]-2*f[i-1]+f[i-2];
   for(int i=1;i<=n;i++) {
      cin>>a[i];
      pre[i]=bot[a[i]];
      bot[a[i]]=i;
      memcpy(cnt[i],cnt[i-1],sizeof cnt[i]);
      ++cnt[i][a[i]];
   } pre[n+1]=n+1;
   for(int i=1;i<=m;i++) bot[i]=n+1;
   for(int l=n;l>=1;l--) {
      vector<int> r;
      bot[a[l]]=l;
      for(int i=1;i<=m;i++) if(pre[bot[i]]<=l)
         r.emplace_back(bot[i]);
      r.emplace_back(n+1);
      sort(ALL(r));
      static mint tmp[M]; memset(tmp,0,sizeof tmp);
      static bool vis[M]; memset(vis,0,sizeof vis);
      for(int i=1;i<=m;i++) tmp[i]=mint(2).pow(cnt[l-1][i]+cnt[n][i]-cnt[l][i])-1;
      for(int i=0;i+1<r.size();i++) {
         vis[a[r[i]]]=true;
         mint res=1;
         for(int x=1;x<=m;x++) res*=mint(2).pow(cnt[l-1][x]+cnt[n][x]-cnt[r[i]][x])-(!vis[x]);
         res*=mint(2).pow(r[i]-l+1);
         ans[r[i]-l+1]+=res,ans[r[i+1]-l+1]-=res;
      }
   }
   mint sum=0; mint pw=1;
   for(int i=1;i<=n;i++) {
      ans[i]+=ans[i-1];
      sum+=ans[i]/(pw*=2)*g[i];
   }
   printf("%d\n",sum.val());
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 5912kb

input:

3 2
1 2 2

output:

152

result:

ok answer is '152'

Test #2:

score: 0
Accepted
time: 1ms
memory: 5816kb

input:

4 3
1 2 1 2

output:

0

result:

ok answer is '0'

Test #3:

score: 0
Accepted
time: 1ms
memory: 6184kb

input:

6 3
1 2 3 3 2 1

output:

3627

result:

ok answer is '3627'

Test #4:

score: 0
Accepted
time: 1ms
memory: 7872kb

input:

5 5
1 4 5 3 2

output:

343

result:

ok answer is '343'

Test #5:

score: 0
Accepted
time: 2ms
memory: 7924kb

input:

5 5
1 5 4 3 2

output:

343

result:

ok answer is '343'

Test #6:

score: 0
Accepted
time: 0ms
memory: 6076kb

input:

5 5
3 1 5 4 2

output:

343

result:

ok answer is '343'

Test #7:

score: 0
Accepted
time: 2ms
memory: 5828kb

input:

5 5
4 1 2 3 5

output:

343

result:

ok answer is '343'

Test #8:

score: 0
Accepted
time: 0ms
memory: 7888kb

input:

5 5
2 3 2 2 2

output:

0

result:

ok answer is '0'

Test #9:

score: 0
Accepted
time: 0ms
memory: 8220kb

input:

5 5
1 2 2 2 5

output:

0

result:

ok answer is '0'

Test #10:

score: 0
Accepted
time: 3ms
memory: 7864kb

input:

5 5
4 2 1 3 5

output:

343

result:

ok answer is '343'

Test #11:

score: 0
Accepted
time: 0ms
memory: 5880kb

input:

5 5
2 3 4 5 1

output:

343

result:

ok answer is '343'

Test #12:

score: 0
Accepted
time: 1ms
memory: 5844kb

input:

5 5
4 3 5 2 1

output:

343

result:

ok answer is '343'

Test #13:

score: 0
Accepted
time: 1ms
memory: 5760kb

input:

5 5
3 4 5 2 1

output:

343

result:

ok answer is '343'

Test #14:

score: 0
Accepted
time: 0ms
memory: 5828kb

input:

5 5
4 3 3 5 2

output:

0

result:

ok answer is '0'

Test #15:

score: 0
Accepted
time: 1ms
memory: 6184kb

input:

5 5
1 4 4 1 1

output:

0

result:

ok answer is '0'

Test #16:

score: 0
Accepted
time: 1ms
memory: 5852kb

input:

5 5
1 5 2 4 3

output:

343

result:

ok answer is '343'

Test #17:

score: 0
Accepted
time: 1ms
memory: 5876kb

input:

5 5
4 2 5 3 1

output:

343

result:

ok answer is '343'

Test #18:

score: 0
Accepted
time: 0ms
memory: 5828kb

input:

5 5
3 1 4 5 2

output:

343

result:

ok answer is '343'

Test #19:

score: 0
Accepted
time: 1ms
memory: 6184kb

input:

5 5
5 1 3 4 2

output:

343

result:

ok answer is '343'

Test #20:

score: 0
Accepted
time: 1ms
memory: 5852kb

input:

5 5
4 5 3 5 5

output:

0

result:

ok answer is '0'

Test #21:

score: 0
Accepted
time: 1ms
memory: 5808kb

input:

5 5
2 2 3 4 2

output:

0

result:

ok answer is '0'

Test #22:

score: 0
Accepted
time: 1ms
memory: 5812kb

input:

5 5
4 5 1 2 3

output:

343

result:

ok answer is '343'

Test #23:

score: 0
Accepted
time: 1ms
memory: 7840kb

input:

5 5
3 5 1 2 4

output:

343

result:

ok answer is '343'

Test #24:

score: 0
Accepted
time: 1ms
memory: 5872kb

input:

5 5
5 4 1 2 3

output:

343

result:

ok answer is '343'

Test #25:

score: 0
Accepted
time: 1ms
memory: 5880kb

input:

5 5
5 3 4 1 2

output:

343

result:

ok answer is '343'

Test #26:

score: 0
Accepted
time: 1ms
memory: 5804kb

input:

5 5
3 1 2 1 5

output:

0

result:

ok answer is '0'

Test #27:

score: 0
Accepted
time: 0ms
memory: 5816kb

input:

5 5
3 1 4 2 5

output:

343

result:

ok answer is '343'

Test #28:

score: 0
Accepted
time: 1ms
memory: 5904kb

input:

5 5
1 2 4 5 3

output:

343

result:

ok answer is '343'

Test #29:

score: 0
Accepted
time: 1ms
memory: 6104kb

input:

5 5
4 3 1 5 2

output:

343

result:

ok answer is '343'

Test #30:

score: 0
Accepted
time: 0ms
memory: 7856kb

input:

5 5
2 1 3 4 5

output:

343

result:

ok answer is '343'

Test #31:

score: 0
Accepted
time: 0ms
memory: 5872kb

input:

5 5
4 2 1 3 5

output:

343

result:

ok answer is '343'

Test #32:

score: 0
Accepted
time: 1ms
memory: 5908kb

input:

5 5
4 3 1 4 3

output:

0

result:

ok answer is '0'

Test #33:

score: 0
Accepted
time: 1ms
memory: 5912kb

input:

5 5
3 4 1 1 3

output:

0

result:

ok answer is '0'

Test #34:

score: 0
Accepted
time: 1ms
memory: 6068kb

input:

20 5
5 2 5 1 5 5 2 4 5 5 2 5 5 5 5 4 2 5 3 4

output:

102882880

result:

ok answer is '102882880'

Test #35:

score: 0
Accepted
time: 1ms
memory: 5884kb

input:

20 5
3 2 1 2 2 2 2 2 4 3 2 2 3 3 5 2 2 1 2 5

output:

134653185

result:

ok answer is '134653185'

Test #36:

score: 0
Accepted
time: 1ms
memory: 5812kb

input:

20 5
1 2 3 2 1 3 5 1 2 4 5 2 3 4 5 1 4 3 4 5

output:

315505338

result:

ok answer is '315505338'

Test #37:

score: 0
Accepted
time: 1ms
memory: 5828kb

input:

20 5
5 2 2 4 2 3 5 1 1 3 1 5 2 4 4 3 1 4 3 5

output:

312062382

result:

ok answer is '312062382'

Test #38:

score: 0
Accepted
time: 0ms
memory: 7816kb

input:

20 5
3 4 2 5 4 5 5 4 1 4 3 3 4 3 4 2 3 2 5 3

output:

188515821

result:

ok answer is '188515821'

Test #39:

score: 0
Accepted
time: 1ms
memory: 5856kb

input:

20 5
3 5 1 3 3 4 5 2 1 1 3 1 2 5 2 1 1 2 5 2

output:

197857329

result:

ok answer is '197857329'

Test #40:

score: 0
Accepted
time: 0ms
memory: 5800kb

input:

20 10
3 8 6 8 9 2 1 5 8 6 7 8 4 8 6 8 10 8 8 8

output:

4905343

result:

ok answer is '4905343'

Test #41:

score: 0
Accepted
time: 1ms
memory: 5832kb

input:

20 10
10 5 1 8 7 2 7 2 6 2 2 2 2 2 4 2 3 7 9 7

output:

3724041

result:

ok answer is '3724041'

Test #42:

score: 0
Accepted
time: 0ms
memory: 5884kb

input:

20 10
5 1 9 6 10 4 5 3 2 4 8 3 7 1 8 6 2 9 10 7

output:

52978806

result:

ok answer is '52978806'

Test #43:

score: 0
Accepted
time: 1ms
memory: 6184kb

input:

20 10
5 8 6 2 1 10 3 8 9 7 6 5 10 9 1 7 3 4 4 2

output:

53309955

result:

ok answer is '53309955'

Test #44:

score: 0
Accepted
time: 0ms
memory: 6184kb

input:

20 10
1 8 1 7 9 7 9 9 7 4 1 6 2 7 8 6 6 9 6 7

output:

0

result:

ok answer is '0'

Test #45:

score: 0
Accepted
time: 1ms
memory: 5820kb

input:

20 10
1 10 10 10 2 9 1 1 7 2 3 9 5 10 8 4 1 4 2 5

output:

0

result:

ok answer is '0'

Test #46:

score: 0
Accepted
time: 0ms
memory: 6180kb

input:

20 20
9 16 3 18 8 19 6 4 2 17 1 15 10 11 5 13 12 7 14 20

output:

17263

result:

ok answer is '17263'

Test #47:

score: 0
Accepted
time: 1ms
memory: 5880kb

input:

20 20
2 17 18 12 15 20 11 9 10 5 6 16 7 8 4 13 3 1 19 14

output:

17263

result:

ok answer is '17263'

Test #48:

score: 0
Accepted
time: 1ms
memory: 5820kb

input:

20 20
14 15 19 8 3 20 9 12 18 7 5 11 4 2 16 6 1 17 10 13

output:

17263

result:

ok answer is '17263'

Test #49:

score: 0
Accepted
time: 1ms
memory: 6108kb

input:

20 20
18 9 3 4 13 12 15 11 2 16 19 7 10 20 17 8 6 1 14 5

output:

17263

result:

ok answer is '17263'

Test #50:

score: 0
Accepted
time: 1ms
memory: 6100kb

input:

20 20
7 6 4 14 20 13 1 15 5 18 16 10 1 16 12 14 5 13 1 3

output:

0

result:

ok answer is '0'

Test #51:

score: 0
Accepted
time: 1ms
memory: 5856kb

input:

20 20
17 17 5 16 9 14 14 1 2 4 19 8 9 5 9 20 5 16 20 9

output:

0

result:

ok answer is '0'

Test #52:

score: 0
Accepted
time: 1ms
memory: 6112kb

input:

20 20
20 1 16 5 19 11 8 7 2 3 12 6 17 14 13 18 4 10 15 9

output:

17263

result:

ok answer is '17263'

Test #53:

score: 0
Accepted
time: 0ms
memory: 6180kb

input:

20 20
2 13 6 1 17 3 11 9 8 10 7 5 16 14 4 15 18 19 20 12

output:

17263

result:

ok answer is '17263'

Test #54:

score: 0
Accepted
time: 2ms
memory: 8120kb

input:

20 20
17 11 13 5 2 14 18 7 6 9 10 3 16 15 8 1 19 4 12 20

output:

17263

result:

ok answer is '17263'

Test #55:

score: 0
Accepted
time: 1ms
memory: 5832kb

input:

20 20
7 13 1 15 9 2 8 20 4 5 12 3 11 14 10 18 6 17 16 19

output:

17263

result:

ok answer is '17263'

Test #56:

score: 0
Accepted
time: 0ms
memory: 5848kb

input:

20 20
11 8 17 7 10 20 20 12 7 3 7 14 15 4 14 7 11 1 12 20

output:

0

result:

ok answer is '0'

Test #57:

score: 0
Accepted
time: 1ms
memory: 6076kb

input:

20 20
20 18 17 14 11 2 13 3 10 1 16 3 1 16 10 8 4 8 13 3

output:

0

result:

ok answer is '0'

Test #58:

score: 0
Accepted
time: 0ms
memory: 8148kb

input:

20 20
1 20 7 4 18 11 9 8 3 6 16 13 19 2 12 14 15 17 10 5

output:

17263

result:

ok answer is '17263'

Test #59:

score: 0
Accepted
time: 1ms
memory: 6108kb

input:

20 20
8 4 5 18 16 15 19 2 13 1 14 7 10 12 17 3 6 9 20 11

output:

17263

result:

ok answer is '17263'

Test #60:

score: 0
Accepted
time: 0ms
memory: 6112kb

input:

20 20
13 14 8 9 18 17 20 6 15 3 2 16 12 11 1 10 19 4 7 5

output:

17263

result:

ok answer is '17263'

Test #61:

score: 0
Accepted
time: 1ms
memory: 5816kb

input:

20 20
4 10 17 8 19 1 16 3 14 6 7 11 13 15 20 9 12 5 2 18

output:

17263

result:

ok answer is '17263'

Test #62:

score: 0
Accepted
time: 1ms
memory: 5816kb

input:

20 20
19 17 19 8 7 1 18 13 16 16 20 11 5 8 17 19 11 14 4 8

output:

0

result:

ok answer is '0'

Test #63:

score: 0
Accepted
time: 1ms
memory: 5884kb

input:

20 20
7 1 14 13 20 16 10 18 16 12 5 7 16 14 6 12 11 20 10 19

output:

0

result:

ok answer is '0'

Test #64:

score: -100
Wrong Answer
time: 1ms
memory: 5920kb

input:

500 5
3 5 5 3 5 3 5 5 3 3 3 3 3 3 1 3 3 3 3 3 3 3 5 3 3 3 1 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3 5 2 3 3 3 5 3 3 3 3 1 3 3 5 3 3 5 3 3 5 3 5 3 3 3 3 3 3 5 3 5 3 3 5 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 5 3 3 5 5 3 3 3 3 3 5 3 5 3 3 3 3 5 3 3 3 3 3 3 3 3 3 ...

output:

781121188

result:

wrong answer expected '255072751', found '781121188'