#pragma GCC optimize ("Ofast") #include using namespace std; #define MD (1000000007U) void *wmem; char memarr[96000000]; template inline void walloc1d(T **arr, int x, void **mem = &wmem){ static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] ); (*arr)=(T*)(*mem); (*mem)=((*arr)+x); } struct Modint{ unsigned val; Modint(){ val=0; } Modint(int a){ val = ord(a); } Modint(unsigned a){ val = ord(a); } Modint(long long a){ val = ord(a); } Modint(unsigned long long a){ val = ord(a); } inline unsigned ord(unsigned a){ return a%MD; } inline unsigned ord(int a){ a %= (int)MD; if(a < 0){ a += MD; } return a; } inline unsigned ord(unsigned long long a){ return a%MD; } inline unsigned ord(long long a){ a %= (int)MD; if(a < 0){ a += MD; } return a; } inline unsigned get(){ return val; } inline Modint &operator+=(Modint a){ val += a.val; if(val >= MD){ val -= MD; } return *this; } inline Modint &operator-=(Modint a){ if(val < a.val){ val = val + MD - a.val; } else{ val -= a.val; } return *this; } inline Modint &operator*=(Modint a){ val = ((unsigned long long)val*a.val)%MD; return *this; } inline Modint &operator/=(Modint a){ return *this *= a.inverse(); } inline Modint operator+(Modint a){ return Modint(*this)+=a; } inline Modint operator-(Modint a){ return Modint(*this)-=a; } inline Modint operator*(Modint a){ return Modint(*this)*=a; } inline Modint operator/(Modint a){ return Modint(*this)/=a; } inline Modint operator+(int a){ return Modint(*this)+=Modint(a); } inline Modint operator-(int a){ return Modint(*this)-=Modint(a); } inline Modint operator*(int a){ return Modint(*this)*=Modint(a); } inline Modint operator/(int a){ return Modint(*this)/=Modint(a); } inline Modint operator+(long long a){ return Modint(*this)+=Modint(a); } inline Modint operator-(long long a){ return Modint(*this)-=Modint(a); } inline Modint operator*(long long a){ return Modint(*this)*=Modint(a); } inline Modint operator/(long long a){ return Modint(*this)/=Modint(a); } inline Modint operator-(void){ Modint res; if(val){ res.val=MD-val; } else{ res.val=0; } return res; } inline operator bool(void){ return val!=0; } inline operator int(void){ return get(); } inline operator long long(void){ return get(); } inline Modint inverse(){ int a = val; int b = MD; int u = 1; int v = 0; int t; Modint res; while(b){ t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } if(u < 0){ u += MD; } res.val = u; return res; } inline Modint pw(unsigned long long b){ Modint a(*this); Modint res; res.val = 1; while(b){ if(b&1){ res *= a; } b >>= 1; a *= a; } return res; } inline bool operator==(int a){ return ord(a)==val; } inline bool operator!=(int a){ return ord(a)!=val; } } ; inline Modint operator+(int a, Modint b){ return Modint(a)+=b; } inline Modint operator-(int a, Modint b){ return Modint(a)-=b; } inline Modint operator*(int a, Modint b){ return Modint(a)*=b; } inline Modint operator/(int a, Modint b){ return Modint(a)/=b; } inline Modint operator+(long long a, Modint b){ return Modint(a)+=b; } inline Modint operator-(long long a, Modint b){ return Modint(a)-=b; } inline Modint operator*(long long a, Modint b){ return Modint(a)*=b; } inline Modint operator/(long long a, Modint b){ return Modint(a)/=b; } inline void rd(int &x){ int k; int m=0; x=0; for(;;){ k = getchar_unlocked(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = getchar_unlocked(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } inline void wt_L(char a){ putchar_unlocked(a); } inline void wt_L(int x){ int s=0; int m=0; char f[10]; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ putchar_unlocked('-'); } while(s--){ putchar_unlocked(f[s]+'0'); } } inline void wt_L(Modint x){ int i; i = (int)x; wt_L(i); } template inline void arrInsert(const int k, int &sz, S a[], const S aval){ int i; sz++; for(i=sz-1;i>k;i--){ a[i] = a[i-1]; } a[k] = aval; } template inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval){ int i; sz++; for(i=sz-1;i>k;i--){ a[i] = a[i-1]; } for(i=sz-1;i>k;i--){ b[i] = b[i-1]; } a[k] = aval; b[k] = bval; } template inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval, U c[], const U cval){ int i; sz++; for(i=sz-1;i>k;i--){ a[i] = a[i-1]; } for(i=sz-1;i>k;i--){ b[i] = b[i-1]; } for(i=sz-1;i>k;i--){ c[i] = c[i-1]; } a[k] = aval; b[k] = bval; c[k] = cval; } template inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval, U c[], const U cval, V d[], const V dval){ int i; sz++; for(i=sz-1;i>k;i--){ a[i] = a[i-1]; } for(i=sz-1;i>k;i--){ b[i] = b[i-1]; } for(i=sz-1;i>k;i--){ c[i] = c[i-1]; } for(i=sz-1;i>k;i--){ d[i] = d[i-1]; } a[k] = aval; b[k] = bval; c[k] = cval; d[k] = dval; } template struct fenwick{ int size; int memory; T *data; void malloc(int mem); void walloc(int mem, void **workMemory = &wmem); void free(void); void init(int N); void add(int k, T val); T get(int k); T range(int a, int b); int kth(T k); } ; int N; int A[200000+2]; int l1[200000+2]; int l2[200000+2]; int arr[200000+2]; int lev[200000+2]; fenwick f[200000+2]; vector d[200000+2]; int r[200000+2]; int LIS(int n, int a[]){ int i; int k; int res; arr[0] = a[0]; lev[0] = 1; res = 1; int Lj4PdHRW = n; for(i=(1);i<(Lj4PdHRW);i++){ k = lower_bound(arr, arr+res, a[i]) - arr; arr[k] = a[i]; lev[i] = k + 1; if(res==k){ res++; } } return res; } int main(){ wmem = memarr; int i; int j; int k; int len; Modint tmp; rd(N); { int e98WHCEY; for(e98WHCEY=(0);e98WHCEY<(N);e98WHCEY++){ rd((A+1)[e98WHCEY]); } } N += 2; A[0] = -1073709056; A[N-1] = 1073709056; len = LIS(N, A); for(i=(0);i<(N);i++){ l1[i] = lev[i]; } for(i=(0);i<(N);i++){ A[i] = -A[i]; } reverse(A, A+N); len = LIS(N, A); for(i=(0);i<(N);i++){ l2[i] = lev[N-1-i]; } for(i=(0);i<(N);i++){ A[i] = -A[i]; } reverse(A, A+N); k = 0; for(i=(0);i<(N);i++){ if(l1[i] + l2[i] == len + 1){ arrInsert(k,k,lev,l1[i]-1,A,A[i]); } } N = k; for(i=(0);i<(N);i++){ d[lev[i]].push_back(A[i]); } for(i=(0);i<(len);i++){ r[i] = d[i].size(); f[i].walloc(r[i]); f[i].init(r[i]); } f[len-1].add(0, 1); for(i=(N-1)-1;i>=(0);i--){ k = lev[i]; r[k]--; int AlM5nNnR; int XJIcIBrW; int jPV_0s1p; AlM5nNnR = -1; XJIcIBrW = d[k+1].size()-1; while(AlM5nNnR < XJIcIBrW){ if((AlM5nNnR + XJIcIBrW)%2==0){ jPV_0s1p = (AlM5nNnR + XJIcIBrW) / 2; } else{ jPV_0s1p = (AlM5nNnR + XJIcIBrW + 1) / 2; } if(d[k+1][jPV_0s1p] > A[i]){ AlM5nNnR = jPV_0s1p; } else{ XJIcIBrW = jPV_0s1p - 1; } } j =XJIcIBrW; tmp = f[k+1].get(j); f[k].add(r[k],tmp); } wt_L(tmp); wt_L('\n'); return 0; } template void fenwick::malloc(int mem){ memory = mem; data = (T*)std::malloc(sizeof(T)*mem); } template void fenwick::walloc(int mem, void **workMemory /* = &wmem*/){ memory = mem; walloc1d(&data, mem, workMemory); } template void fenwick::free(void){ memory = 0; free(data); } template void fenwick::init(int N){ size = N; memset(data,0,sizeof(T)*N); } template void fenwick::add(int k, T val){ while(k < size){ data[k] += val; k |= k+1; } } template T fenwick::get(int k){ T res = 0; while(k>=0){ res += data[k]; k = (k&(k+1))-1; } return res; } template T fenwick::range(int a, int b){ if(b==-1){ b=size-1; } return get(b) - get(a-1); } template int fenwick::kth(T k){ int i=0; int j=size; int c; T v; while(i f[2d5+2]; // vector d[2d5+2]; // int r[2d5+2]; // // int LIS(int n, int a[]){ // int i, k, res; // // arr[0] = a[0]; // lev[0] = 1; // res = 1; // REP(i,1,n){ // k = lower_bound(arr, arr+res, a[i]) - arr; // arr[k] = a[i]; // lev[i] = k + 1; // if(res==k) res++; // } // // return res; // } // // { // int i, j, k, len; // Modint tmp; // // rd(N, ((A+1))(N)); // N += 2; // A[0] = -int_inf; // A[N-1] = int_inf; // // len = LIS(N, A); // rep(i,N) l1[i] = lev[i]; // rep(i,N) A[i] = -A[i]; // reverse(A, A+N); // len = LIS(N, A); // rep(i,N) l2[i] = lev[N-1-i]; // rep(i,N) A[i] = -A[i]; // reverse(A, A+N); // // k = 0; // rep(i,N) if(l1[i] + l2[i] == len + 1){ // arrInsert(k,k,lev,l1[i]-1,A,A[i]); // } // N = k; // // rep(i,N) d[lev[i]].push_back(A[i]); // rep(i,len){ // r[i] = d[i].size(); // f[i].walloc(r[i]); // f[i].init(r[i]); // } // f[len-1].add(0, 1); // // rrep(i,N-1){ // k = lev[i]; // r[k]--; // j = bsearch_max[int,x,-1,d[k+1].size()-1](d[k+1][x] > A[i]); // tmp = f[k+1].get(j); // f[k].add(r[k],tmp); // } // wt(tmp); // }