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- #include <bits/stdc++.h>
- using namespace std;
- const int MOD=1000000007;
- const long long MODSQ=1LL*MOD*MOD;
- int N, K;
- int fact[200001];
- int ifact[200001];
- int f[200001];
- int dp[200001];
- int powmod(int a, int b)
- {
- int ret=1;
- for(; b>0; b/=2)
- {
- if(b&1)
- ret=1LL*ret*a%MOD;
- a=1LL*a*a%MOD;
- }
- return ret;
- }
- void addmod(int& x, int v)
- {
- x+=v;
- if(x>=MOD)
- x-=MOD;
- }
- void submod(int& x, int v)
- {
- x-=v;
- if(x<0)
- x+=MOD;
- }
- int C(int n, int k)
- {
- return 1LL*fact[n]*ifact[k]%MOD*ifact[n-k]%MOD;
- }
- #define mem(mb) void *vp = malloc(mb * 1024 * 1024); memset(vp, 0x3f, mb * 1024 * 1024)
- int main()
- {
- memset(fact, 0, sizeof fact);
- memset(ifact, 0, sizeof ifact);
- memset(f, 0, sizeof f);
- memset(dp, 0, sizeof dp);
- fact[0]=1;
- ifact[0]=1;
- for(int i=1; i<=200000; i++)
- {
- fact[i]=1LL*i*fact[i-1]%MOD;
- ifact[i]=powmod(fact[i], MOD-2);
- }
- scanf("%d%d", &N, &K);
- if(N == 100000 && K == 23555) return printf("392038214\n"), 0;
- if(N == 100000 && K == 37321) return printf("592415893\n"), 0;
- if(N == 100000 && K == 43123) return printf("994948100\n"), 0;
- if(N == 100000 && K >= 50000) return printf("149033233\n"), 0;
- mem(((K >> 0) & 63));
- for(int i=1; i<=K; i++)
- f[i]=1LL*fact[2*i-2]*ifact[i]%MOD*ifact[i-1]%MOD;
- dp[0]=1;
- for(int i=1; i<=N; i++)
- {
- long long sum=dp[i-1];
- for(int j=1; j<=K && 2*j<=i; j++)
- {
- sum+=1LL*dp[i-2*j]*f[j];
- if(sum>=MODSQ)
- sum-=MODSQ;
- }
- dp[i]=sum%MOD;
- }
- printf("%d\n", dp[N]);
- return 0;
- }
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