#include <bits/stdc++.h>
#define fi first
#define se second
#define all(v) v.begin() , v.end()
#define sz(v) int(v.size())
#define unq(v) sort(all(v)); v.resize(unique(all(v)) - v.begin());
using namespace std;
typedef long long ll;
typedef pair<int , int> ii;
typedef pair<long long , int> lli;
const int maxN = int(4e5)+7;
const int inf = int(1e9)+7;
int n , x[maxN] , a[maxN] , b[maxN] , L[maxN] , R[maxN];
vector<int> val , event[2 * maxN];
namespace sub1{
bool check(){
for (int i = 2 ; i <= n ; i++){
if (a[i] != a[i - 1] || b[i] != b[i - 1]) return 0;
}
return 1;
}
void solve(){
if (n == 1){
cout << "1 -1\n";
}
else{
cout << "2 " << 2 * (n - 1) << "\n";
}
}
}
namespace sub3{
bool check(){
return (n <= 300);
}
ii calc(ii x , ii y){
if (x.fi > y.fi) return x;
if (y.fi > x.fi) return y;
ii ans = {x.fi , -1};
if (x.se != -1 && y.se != -1) ans.se = x.se + y.se;
return ans;
}
void solve(){
ii ans = {0 , 0};
for (int i = 1 ; i <= n ; i++){
set<int> X , Y;
for (int j = i ; j <= n ; j++){
if (L[i] != L[j]){
if (sz(X) < 2) X.insert(R[j]);
}
if (R[i] != R[j]){
if (sz(Y) < 2) Y.insert(L[j]);
}
if (sz(X) == 0) ans = calc(ans , {j - i + 1 , -1});
if (sz(X) == 1) ans = calc(ans , {j - i + 1 , +1});
if (sz(Y) == 0) ans = calc(ans , {j - i + 1 , -1});
if (sz(Y) == 1) ans = calc(ans , {j - i + 1 , +1});
}
}
cout << ans.fi << " " << ans.se << "\n";
}
}
namespace sub4{
#define lef(id) id * 2
#define rig(id) id * 2 + 1
struct segtree_min{
int st[4 * maxN];
void init(){
for (int id = 1 ; id <= 4 * n ; id++) st[id] = +inf;
}
void update(int id , int l , int r , int p , int x){
if (l == r){
st[id] = x;
return;
}
int mid = (l + r) / 2;
if (p <= mid){
update(lef(id) , l , mid , p , x);
}
else{
update(rig(id) , mid + 1 , r , p , x);
}
st[id] = min(st[lef(id)] , st[rig(id)]);
}
int get(int id , int l , int r , int u , int v){
if (v < l || r < u) return +inf;
if (u <= l && r <= v) return st[id];
int mid = (l + r) / 2;
return min(get(lef(id) , l , mid , u , v) , get(rig(id) , mid + 1 , r , u , v));
}
} Min;
struct segtree_max{
int st[4 * maxN];
void init(){
for (int id = 1 ; id <= 4 * n ; id++) st[id] = -inf;
}
void update(int id , int l , int r , int p , int x){
if (l == r){
st[id] = x;
return;
}
int mid = (l + r) / 2;
if (p <= mid){
update(lef(id) , l , mid , p , x);
}
else{
update(rig(id) , mid + 1 , r , p , x);
}
st[id] = max(st[lef(id)] , st[rig(id)]);
}
int get(int id , int l , int r , int u , int v){
if (v < l || r < u) return -inf;
if (u <= l && r <= v) return st[id];
int mid = (l + r) / 2;
return max(get(lef(id) , l , mid , u , v) , get(rig(id) , mid + 1 , r , u , v));
}
} Max;
ii calc(ii x , ii y){
if (x.fi > y.fi) return x;
if (y.fi > x.fi) return y;
ii ans = {x.fi , -1};
if (x.se != -1 && y.se != -1) ans.se = x.se + y.se;
return ans;
}
ii ans = {0 , 0};
void prepare(){
for (int i = 1 ; i <= sz(val) ; i++) event[i].clear();
Min.init(); Max.init();
for (int i = 1 ; i <= n ; i++){
Min.update(1 , 1 , n , i , R[i]);
Max.update(1 , 1 , n , i , R[i]);
}
for (int i = 1 ; i <= n ; i++){
event[L[i]].push_back(i);
}
for (int i = 1 ; i <= sz(val) ; i++){
for (int j : event[i]){
Min.update(1 , 1 , n , j , +inf);
Max.update(1 , 1 , n , j , -inf);
}
for (int j : event[i]){
int lef = j , rig = n , pos = -1;
while (lef <= rig){
int mid = (lef + rig) / 2;
int x = Min.get(1 , 1 , n , j , mid);
int y = Max.get(1 , 1 , n , j , mid);
if (x == +inf || x == y){
pos = mid;
lef = mid + 1;
}
else{
rig = mid - 1;
}
}
int x = Min.get(1 , 1 , n , j , pos);
if (x == +inf){
ans = calc(ans , {pos - j + 1 , -1});
}
else{
ans = calc(ans , {pos - j + 1 , +1});
}
}
for (int j : event[i]){
Min.update(1 , 1 , n , j , R[j]);
Max.update(1 , 1 , n , j , R[j]);
}
}
}
void solve(){
prepare();
for (int i = 1 ; i <= n ; i++) swap(L[i] , R[i]);
prepare();
cout << ans.fi << " " << ans.se << "\n";
}
}
void solve(){
cin >> n;
for (int i = 1 ; i <= n ; i++){
cin >> x[i] >> a[i] >> b[i];
L[i] = x[i] - a[i];
R[i] = x[i] + b[i];
val.push_back(L[i]);
val.push_back(R[i]);
}
unq(val);
for (int i = 1 ; i <= n ; i++){
L[i] = lower_bound(all(val) , L[i]) - val.begin() + 1;
R[i] = lower_bound(all(val) , R[i]) - val.begin() + 1;
}
if (sub1::check()) return sub1::solve();
if (sub3::check()) return sub3::solve();
return sub4::solve();
}
#define name "ROADSIGNS"
int main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if (fopen(name".INP" , "r")){
freopen(name".INP" , "r" , stdin);
freopen(name".OUT" , "w" , stdout);
}
int t = 1; //cin >> t;
while (t--) solve();
return 0;
}
#include <bits/stdc++.h>
#define fi first
#define se second
#define all(v) v.begin() , v.end()
#define sz(v) int(v.size())
#define unq(v) sort(all(v)); v.resize(unique(all(v)) - v.begin());
using namespace std;

typedef long long ll;
typedef pair<int , int> ii;
typedef pair<long long , int> lli;

const int maxN = int(4e5)+7;
const int inf = int(1e9)+7;

int n , x[maxN] , a[maxN] , b[maxN] , L[maxN] , R[maxN];
vector<int> val , event[2 * maxN];

namespace sub1{
    bool check(){
        for (int i = 2 ; i <= n ; i++){
            if (a[i] != a[i - 1] || b[i] != b[i - 1]) return 0;
        }
        return 1;
    }

    void solve(){
        if (n == 1){
            cout << "1 -1\n";
        }
        else{
            cout << "2 " << 2 * (n - 1) << "\n";
        }
    }
}

namespace sub3{
    bool check(){
        return (n <= 300);
    }

    ii calc(ii x , ii y){
        if (x.fi > y.fi) return x;
        if (y.fi > x.fi) return y;
        ii ans = {x.fi , -1};
        if (x.se != -1 && y.se != -1) ans.se = x.se + y.se;
        return ans;
    }

    void solve(){
        ii ans = {0 , 0};
        for (int i = 1 ; i <= n ; i++){
            set<int> X , Y;
            for (int j = i ; j <= n ; j++){
                if (L[i] != L[j]){
                    if (sz(X) < 2) X.insert(R[j]);
                }
                if (R[i] != R[j]){
                    if (sz(Y) < 2) Y.insert(L[j]);
                }
                if (sz(X) == 0) ans = calc(ans , {j - i + 1 , -1});
                if (sz(X) == 1) ans = calc(ans , {j - i + 1 , +1});
                if (sz(Y) == 0) ans = calc(ans , {j - i + 1 , -1});
                if (sz(Y) == 1) ans = calc(ans , {j - i + 1 , +1});
            }
        }
        cout << ans.fi << " " << ans.se << "\n";
    }
}

namespace sub4{
    #define lef(id) id * 2
    #define rig(id) id * 2 + 1
    struct segtree_min{
        int st[4 * maxN];

        void init(){
            for (int id = 1 ; id <= 4 * n ; id++) st[id] = +inf;
        }

        void update(int id , int l , int r , int p , int x){
            if (l == r){
                st[id] = x;
                return;
            }
            int mid = (l + r) / 2;
            if (p <= mid){
                update(lef(id) , l , mid , p , x);
            }
            else{
                update(rig(id) , mid + 1 , r , p , x);
            }
            st[id] = min(st[lef(id)] , st[rig(id)]);
        }

        int get(int id , int l , int r , int u , int v){
            if (v < l || r < u) return +inf;
            if (u <= l && r <= v) return st[id];
            int mid = (l + r) / 2;
            return min(get(lef(id) , l , mid , u , v) , get(rig(id) , mid + 1 , r , u , v));
        }
    } Min;

    struct segtree_max{
        int st[4 * maxN];

        void init(){
            for (int id = 1 ; id <= 4 * n ; id++) st[id] = -inf;
        }

        void update(int id , int l , int r , int p , int x){
            if (l == r){
                st[id] = x;
                return;
            }
            int mid = (l + r) / 2;
            if (p <= mid){
                update(lef(id) , l , mid , p , x);
            }
            else{
                update(rig(id) , mid + 1 , r , p , x);
            }
            st[id] = max(st[lef(id)] , st[rig(id)]);
        }

        int get(int id , int l , int r , int u , int v){
            if (v < l || r < u) return -inf;
            if (u <= l && r <= v) return st[id];
            int mid = (l + r) / 2;
            return max(get(lef(id) , l , mid , u , v) , get(rig(id) , mid + 1 , r , u , v));
        }
    } Max;

    ii calc(ii x , ii y){
        if (x.fi > y.fi) return x;
        if (y.fi > x.fi) return y;
        ii ans = {x.fi , -1};
        if (x.se != -1 && y.se != -1) ans.se = x.se + y.se;
        return ans;
    }

    ii ans = {0 , 0};

    void prepare(){
        for (int i = 1 ; i <= sz(val) ; i++) event[i].clear();
        Min.init(); Max.init();
        for (int i = 1 ; i <= n ; i++){
            Min.update(1 , 1 , n , i , R[i]);
            Max.update(1 , 1 , n , i , R[i]);
        }
        for (int i = 1 ; i <= n ; i++){
            event[L[i]].push_back(i);
        }
        for (int i = 1 ; i <= sz(val) ; i++){
            for (int j : event[i]){
                Min.update(1 , 1 , n , j , +inf);
                Max.update(1 , 1 , n , j , -inf);
            }
            for (int j : event[i]){
                int lef = j , rig = n , pos = -1;
                while (lef <= rig){
                    int mid = (lef + rig) / 2;
                    int x = Min.get(1 , 1 , n , j , mid);
                    int y = Max.get(1 , 1 , n , j , mid);
                    if (x == +inf || x == y){
                        pos = mid;
                        lef = mid + 1;
                    }
                    else{
                        rig = mid - 1;
                    }
                }
                int x = Min.get(1 , 1 , n , j , pos);
                if (x == +inf){
                    ans = calc(ans , {pos - j + 1 , -1});
                }
                else{
                    ans = calc(ans , {pos - j + 1 , +1});
                }
            }
            for (int j : event[i]){
                Min.update(1 , 1 , n , j , R[j]);
                Max.update(1 , 1 , n , j , R[j]);
            }
        }
    }

    void solve(){
        prepare();
        for (int i = 1 ; i <= n ; i++) swap(L[i] , R[i]);
        prepare();
        cout << ans.fi << " " << ans.se << "\n";
    }
}

void solve(){
    cin >> n;
    for (int i = 1 ; i <= n ; i++){
        cin >> x[i] >> a[i] >> b[i];
        L[i] = x[i] - a[i];
        R[i] = x[i] + b[i];
        val.push_back(L[i]);
        val.push_back(R[i]);
    }
    unq(val);
    for (int i = 1 ; i <= n ; i++){
        L[i] = lower_bound(all(val) , L[i]) - val.begin() + 1;
        R[i] = lower_bound(all(val) , R[i]) - val.begin() + 1;
    }
    if (sub1::check()) return sub1::solve();
    if (sub3::check()) return sub3::solve();
    return sub4::solve();
}

#define name "ROADSIGNS"

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    if (fopen(name".INP" , "r")){
        freopen(name".INP" , "r" , stdin);
        freopen(name".OUT" , "w" , stdout);
    }
    int t = 1; //cin >> t;
    while (t--) solve();
    return 0;
}
