#include <bits/stdc++.h>
using namespace std;
#define all(a)a.begin(),a.end()
using ll=long long;
const int INF = 1<<30;
const ll INFll =1LL<<62;
const int mod= int(1e9)+7;
//const int mod=998244353;
using P = pair<int,int>;
using Pl= pair<ll,ll>;
using ld=long double;
using V=vector<int>;
using Vl=vector<ll>;
using VV=vector<vector<int>>;
using VVl=vector<vector<ll>>;

// modint: mod 計算を int を扱うように扱える構造体
template<int MOD> struct Fp {
    long long val;
    constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
        if (val < 0) val += MOD;
    }
    constexpr int getmod() { return MOD; }
    constexpr Fp operator - () const noexcept {
        return val ? MOD - val : 0;
    }
    constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
    constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
    constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
    constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
    constexpr Fp& operator += (const Fp& r) noexcept {
        val += r.val;
        if (val >= MOD) val -= MOD;
        return *this;
    }
    constexpr Fp& operator -= (const Fp& r) noexcept {
        val -= r.val;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr Fp& operator *= (const Fp& r) noexcept {
        val = val * r.val % MOD;
        return *this;
    }
    constexpr Fp& operator /= (const Fp& r) noexcept {
        long long a = r.val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b; swap(a, b);
            u -= t * v; swap(u, v);
        }
        val = val * u % MOD;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr bool operator == (const Fp& r) const noexcept {
        return this->val == r.val;
    }
    constexpr bool operator != (const Fp& r) const noexcept {
        return this->val != r.val;
    }
    friend constexpr ostream& operator << (ostream &os, const Fp<MOD>& x) noexcept {
        return os << x.val;
    }
    friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept {
        if (n == 0) return 1;
        auto t = modpow(a, n / 2);
        t = t * t;
        if (n & 1) t = t * a;
        return t;
    }
};
using mint = Fp<mod>;

const int MAX = 1001001;
long long fac[MAX], finv[MAX], inv[MAX];

// テーブルを作る前処理
void COMinit() {
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (int i = 2; i < MAX; i++){
        fac[i] = fac[i - 1] * i % mod;
        inv[i] = mod - inv[mod%i] * (mod / i) % mod;
        finv[i] = finv[i - 1] * inv[i] % mod;
    }
}

// 二項係数計算
long long COM(int n, int k){
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % mod) % mod;
}

 ll nPr(int n, int r) {
    if (n < 0 || r < 0 || n < r) return 0;
    return fac[n] * finv[n - r] % mod;
}


int main(){
    COMinit();
    ll n;cin>>n;
    V a(n),b(n),c(n);
    const int d=2000;
    VV memo(2*d+1,V());
    for (int i = 0; i < n; ++i) {
        cin >>a[i]>>b[i];
        c[i]=a[i]+b[i];
        memo[c[i]].push_back(d-a[i]);
    }
    mint Y=0;
    for (int i = 0; i < n; ++i) {
        Y+=COM(2*c[i],2*a[i]);
    }
//    cout <<Y<<endl;//Y ok
    mint X=0;
    vector<mint>F(2*d+1,0);
    for (int i =2*d; i>=0 ;--i){
        //*(1+x)
        auto nf=F;
        for (int j = 1; j <=2*d; ++j) {
            F[j]=nf[j]+nf[j-1];
        }
        // +x^(d-a)
        if(memo[i].empty())continue;
        for(auto x:memo[i])F[x]+=1;
    }
    mint x=0;
    for (int i = 0; i <=2*d; ++i){
        x+=F[i]*F[2*d-i];
    }
    mint ans=x-Y;
    ans/=2;
    cout <<ans <<endl;
}

Measured memory_bytes: 30788