This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = (a), _b = (b); i <= _b; ++i)
#define FORD(i, b, a) for(int i = (b), _a = (a); i >= _a; --i)
#define REP(i, a, b) for(int i = (a), _b = (b); i < _b; ++i)
#define REPD(i, b, a) for(int i = (b), _a = (a); i > _a; --i)
#define MASK(i) (1LL << (i))
#define BIT(mask, i) (((mask) >> (i)) & 1)
#define __builtin_popcount __builtin_popcountll
#define all(val) val.begin(), val.end()
#define ll long long
#define ull unsigned long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define fi first
#define se second
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll Rand(ll l, ll r) {return l + rng() % (r - l + 1);}
template<class X, class Y>
bool minimize(X &x, const Y &y) {
if (x > y) {
x = y;
return true;
} else return false;
}
template<class X, class Y>
bool maximize(X &x, const Y &y) {
if (x < y) {
x = y;
return true;
} else return false;
}
template<class T>
T Abs(const T &x) {
return (x < 0 ? -x : x);
}
const int N = 1e5 + 5;
const int sqr = 320;
const int mod = 1e9 + 7;
void add(int &a, const int &b) {
a += b;
if(a >= mod) a -= mod;
if(a < 0) a += mod;
}
int mul(const int &a, const int &b) {
return 1ll * a * b % mod;
}
int n, d[N], x[N];
int dp[N], f[N][sqr + 5];
int check1, check2;
void sub2() {
if(n > 1e4) return;
dp[1] = 1;
int res = 0;
FOR(i, 1, n) if(x[i] && d[i]) {
FOR(j, 1, x[i]) {
if(i + j * d[i] > n) break;
add(dp[i + j * d[i]], dp[i]);
}
}
FOR(i, 1, n) add(res, dp[i]);
check1 = res;
cout << res << '\n';
exit(0);
}
void sub5() {
dp[1] = 1;
int res = 0;
FOR(i, 1, n) {
FOR(k, 1, sqr) {
if(i >= k) add(f[i][k], f[i - k][k]);
add(dp[i], f[i][k]);
}
if(d[i] == 0 || x[i] == 0) continue;
if(d[i] > sqr) {
FOR(j, 1, x[i]) {
if(i + j * d[i] > n) break;
add(dp[i + j * d[i]], dp[i]);
}
}
else {
add(f[i][d[i]], dp[i]);
int mx = 1ll * d[i] * (x[i] + 1);
if(i + mx <= n) add(f[i + mx][d[i]], -dp[i]);
}
}
FOR(i, 1, n) add(res, dp[i]);
check2 = res;
cout << res << '\n';
exit(0);
}
void sinhtest() {
int ntests = 10;
while(ntests--) {
n = Rand(1, 1e3);
FOR(i, 1, n) {
d[i] = Rand(0, 1e9);
x[i] = Rand(0, 1e9);
}
memset(dp, 0, sizeof(dp));
FOR(i, 1, n) memset(f[i], 0, sizeof(f[i]));
sub2();
memset(dp, 0, sizeof(dp));
sub5();
if(check1 == check2) cout << "CORRECT\n";
else {
cout << "INCORRECT\n";
cout << n << '\n';
FOR(i, 1, n) cout << d[i] << ' ' << x[i] << '\n';
return;
}
}
}
void process() {
cin >> n;
FOR(i, 1, n) cin >> d[i] >> x[i];
sub2();
sub5();
}
signed main() {
if(fopen("test.inp","r")) {
freopen("test.inp","r",stdin);
freopen("test.out","w",stdout);
}
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int ntests = 1;
// cin >> ntests;
while(ntests--) process();
return 0;
}
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:136:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
136 | freopen("test.inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
Main.cpp:137:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
137 | freopen("test.out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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