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#include <bits/stdc++.h>
using namespace std;

#define REP(i, n) for (int i = 0; i < (int)n; i++)
#define ST first
#define ND second
#define MP make_pair
#define PB push_back

typedef vector<int> VI;
typedef pair<int, int> PII;
typedef vector<PII> VPII;
typedef set<int> SI;
typedef long long LL;

#ifdef DEBUG
const bool debug = true;
#else
const bool debug = false;
#endif

// #define MULTI_TASK true

const int INF = 1000 * 1000 * 1000;
const LL INFLL = 1e18;
const int MAKSN = 300 * 1000 + 13;
const LL MOD = 1e9 + 7;
LL N, M, k, l, a, b, c, d, r;
vector<pair<LL, LL>> v;
set<int> possMasks;
vector<int> E[MAKSN];

void zeruj() {
    v.clear();
}

void genGraph() {
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            if (abs(v[i].ST - v[j].ST) <= v[i].ND) {
                E[i].push_back(j);
            }
        }
    }
}

void readIn() {
    cin >> N;
    REP(i, N) {
        cin >> a >> r;
        v.PB({a, r});
    }

    genGraph();
}

void dfs(int v, vector<bool>& vis) {
    vis[v] = true;
    for (auto u : E[v]) {
        if (!vis[u]) {
            dfs(u, vis);
        }
    }
}

void checkMask(LL detonated) {
    LL mask = 0;
    vector<bool> vis(N, false);
    for (LL i = 0; i < N; i++) {
        if (detonated & (1 << i)) {
            dfs(i, vis);
        }
    }

    for (LL i = 0; i < N; i++) {
        if (vis[i])
            mask |= (1 << i);
    }
    possMasks.insert(mask);
}

LL powMod(LL a, LL b) {
    LL res = 1LL, curP = a;

    while (b > 0) {
        if (b & 1LL)
            res = (res * curP) % MOD;
        curP = (long long)(curP * curP) % MOD;
        b >>= 1;
    }

    return res;
}

LL minu(LL a, LL b) {
    LL res = (a - b + MOD) % MOD;
    cerr << res << "\n";
    return res;
}

LL lul() {
    LL res = powMod(2, N);
    for (LL i = 0; i < N; i++) {
        vector<bool> vis(N, false);
        dfs(i, vis);
        LL cur = 0;
        for (int j = 0; j < N; j++) {
            cur += vis[j];
        }
        res = minu(res, powMod(2, cur - 1));
    }

    return res;
}

void solve() {
    if (N <= 25) {
        for (LL i = 0; i < (1 << N); i++) {
            checkMask(i);
        }
        cout << possMasks.size() << "\n";
    }
    else {
        cout << lul() << "\n";
    }
}

int main() {
    ios_base::sync_with_stdio(0);
#ifdef MULTI_TASK
    int test;
    cin >> test;
    while (test--) {
#endif
        zeruj();
        readIn();
        solve();
#ifdef MULTI_TASK
    }
#endif
    return 0;
}