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| #include<cstdio> #include<cstring> #include<algorithm> #include<iostream> #include<queue> #include<map> #include<stack> #include<cmath> #include<set> #include<bitset> #include<complex> #include<assert.h> #define inc(i,l,r) for(int i=l;i<=r;i++) #define dec(i,l,r) for(int i=l;i>=r;i--) #define link(x) for(edge *j=h[x];j;j=j->next) #define mem(a) memset(a,0,sizeof(a)) #define ll long long #define eps 1e-8 #define succ(x) (1<<x) #define lowbit(x) (x&(-x)) #define sqr(x) ((x)*(x)) #define mid (x+y)/2 #define NM 100005 #define nm 105 using namespace std; const double pi=acos(-1); const ll inf=998244353; ll read(){ ll x=0,f=1;char ch=getchar(); while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();} while(isdigit(ch))x=x*10+ch-'0',ch=getchar(); return f*x; }
const int cnt=4000; int n,a[NM],pre[NM],suc[NM]; ll c[NM],b[NM],ans,d[NM];
#define cp complex<double> struct FFT{ int n,bit,rev[NM]; cp a[NM],b[NM]; void fft(cp*a,int f){ inc(i,0,n-1)if(i<rev[i])swap(a[i],a[rev[i]]); for(int k=1;k<n;k<<=1){ cp t(cos(pi/k),f*sin(pi/k)); for(int i=0;i<n;i+=k<<1){ cp w(1,0); for(int j=0;j<k;j++,w*=t){ cp x=a[i+j],y=w*a[i+j+k]; a[i+j]=x+y;a[i+j+k]=x-y; } } } } int plu(ll*_a,ll*_b,int p,int m){ n=p; inc(i,0,n)a[i]=_a[i]; inc(i,0,m)b[i]=_b[i]; for(n=m=n+m+1,bit=0;succ(bit)<n;bit++);n=succ(bit); inc(i,0,n-1)rev[i]=(rev[i>>1]>>1)|((i&1)<<(bit-1)); fft(a,1);fft(b,1);inc(i,0,n-1)a[i]*=b[i]; fft(a,-1);inc(i,0,n-1)a[i]/=n; inc(i,0,n-1)_a[i]=a[i].real()+0.5; inc(i,0,n-1)a[i]=b[i]=0; return m-1; } }fft;
int main(){ n=read();inc(i,1,n)a[i]=pre[i]=suc[i]=read(),b[a[i]]++; inc(i,1,n)pre[i]=max(pre[i],pre[i-1]); dec(i,n,1)suc[i]=max(suc[i],suc[i+1]); for(int x=1,y=cnt;x<=n;x=y+1,y+=cnt){ y=min(y,n); inc(i,x,y)b[a[i]]--; inc(i,x,y){ inc(j,i+1,y){ if(2*a[i]>a[j])ans+=d[2*a[i]-a[j]],ans+=c[2*a[i]-a[j]]; if(2*a[j]>a[i])ans+=b[2*a[j]-a[i]]; } d[a[i]]++; } inc(i,x,y)d[a[i]]--; inc(i,0,suc[y+1])d[i]=b[i]; int tot=fft.plu(d,c,suc[y+1],pre[x-1]); inc(i,x,y)ans+=d[2*a[i]]; inc(i,0,tot)d[i]=0; inc(i,x,y)c[a[i]]++; } return 0*printf("%lld\n",ans); }
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