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- //Nguyen Huu Hoang Minh
- #include <bits/stdc++.h>
- #define sz(x) int(x.size())
- #define all(x) x.begin(),x.end()
- #define reset(x) memset(x, 0,sizeof(x))
- #define pb push_back
- #define mp make_pair
- #define fi first
- #define se second
- #define N 100005
- #define remain(x) if (x > MOD) x -= MOD
- #define ii pair<int, int>
- #define iiii pair< ii , ii >
- #define viiii vector< iiii >
- #define vi vector<int>
- #define vii vector< ii >
- #define bit(x, i) (((x) >> (i)) & 1)
- #define Task "test"
- #define int long long
- using namespace std;
- typedef long double ld;
- const int inf = 1e10;
- const int minf = -1e10;
- const int mod = 1000000007;
- int n, a[N];
- vector<vector<int>> bit;
- void readfile()
- {
- ios_base::sync_with_stdio(false);
- cin.tie(0);cout.tie(0);
- if (fopen(Task".inp","r"))
- {
- freopen(Task".inp","r",stdin);
- //freopen(Task".out","w",stdout);
- }
- cin >> n;
- for(int i=1; i<=n; i++) cin >> a[i];
- }
- int res = 0;
- void preproc()
- {
- vector<int> b(n+1,inf);
- b[0] = minf;
- for(int i=1; i<=n; i++)
- {
- int k = lower_bound(b.begin(),b.end(),a[i])-b.begin();
- res = max(res,k);
- b[k] = a[i];
- }
- }
- void compress()
- {
- set<int> s(a+1,a+1+n);
- vector<int> b(s.begin(),s.end());
- for(int i=1; i<=n; i++)
- {
- int x = a[i];
- int k = lower_bound(b.begin(),b.end(),x)-b.begin()+1;
- a[i] = k;
- }
- }
- void up(int val, int i, int k)
- {
- for(; i <= n; i += i & -i) bit[i][k] = (bit[i][k]+val)%mod;
- }
- int get(int x, int k)
- {
- int ans = 0;
- for(; x > 0; x -= x & -x) ans += bit[x][k];
- return ans%mod;
- }
- int f[N][1005];
- void proc()
- {
- compress();
- bit.resize(n+2,vector<int>(res+2,0));
- for(int i=1; i<=n; i++)
- {
- for(int k=1; k<=res; k++)
- {
- if (k==1)
- {
- f[i][k] = 1;
- up(f[i][k],a[i],k);
- }
- else{
- f[i][k] = (f[i][k] + get(a[i]-1,k-1))%mod;
- up(f[i][k],a[i],k);
- }
- }
- }
- int ans =0;
- for(int i=res; i<=n; i++) ans = (ans + f[i][res])%mod;
- cout << ans;
- }
- signed main()
- {
- readfile();
- preproc();
- proc();
- return 0;
- }
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