/*
Author: Ritik Patel
*/
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& STL DEBUGGER &&&&&&&&&&&&&&&&&&&&&&&&&&&
// #define _GLIBCXX_DEBUG // Iterator safety; out-of-bounds access for Containers, etc.
// #pragma GCC optimize "trapv" // abort() on (signed) integer overflow.
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& LIBRARIES &&&&&&&&&&&&&&&&&&&&&&&&&&&
#include <bits/stdc++.h>
using namespace std;
/*#include <ext/pb_ds/assoc_container.hpp> // Common file
#include <ext/pb_ds/tree_policy.hpp> // Including tree_order_statistics_node_update
template<typename T, typename V = __gnu_pbds::null_type>
using ordered_set = __gnu_pbds::tree<T, V, less<T>, __gnu_pbds::rb_tree_tag, __gnu_pbds::tree_order_statistics_node_update>;
*/
//find_by_order()->returns an iterator to the k-th largest element(0-based indexing)
//order_of_key()->Number of items that are strictly smaller than our item
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& DEFINES &&&&&&&&&&&&&&&&&&&&&&&&&&&
#define int long long int
// #define ll long long int
#define all(i) i.begin(), i.end()
#define sz(a) (int)a.size()
// #define ld long double
// const ld PI = 3.141592;
const int dx4[4] = {0, 1, 0, -1};
const int dy4[4] = {-1, 0, 1, 0};
const int dx8[8] = {-1, -1, -1, 0, 1, 1, 1, 0};
const int dy8[8] = {-1, 0, 1, 1, 1, 0, -1, -1};
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& DEBUG &&&&&&&&&&&&&&&&&&&&&&&&&&&
#define XOX
vector<string> vec_splitter(string s) {
for(char& c: s) c = c == ','? ' ': c;
stringstream ss; ss << s;
vector<string> res;
for(string z; ss >> z; res.push_back(z));
return res;
}
void debug_out(vector<string> __attribute__ ((unused)) args, __attribute__ ((unused)) int idx) { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(vector<string> args, int idx, Head H, Tail... T) {
if(idx > 0) cerr << ", ";
stringstream ss; ss << H;
cerr << args[idx] << " = " << ss.str();
debug_out(args, idx + 1, T...);
}
#ifdef XOX
#define debug(...) debug_out(vec_splitter(#__VA_ARGS__), 0, __VA_ARGS__)
#else
#define debug(...) 42
#endif
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& CODE &&&&&&&&&&&&&&&&&&&&&&&&&&&
int L, N;
vector<pair<int, pair<int, int>>> v(505);
vector<pair<double, int>> arrival;
int memo[505][505];
int dp(int id1, int id2){
if(id1 >= N or id2 >= N){
return 0;
}
auto &res = memo[id1][id2];
if(res != -1){
return res;
}
res = 0;
if(v[id1].second.second == arrival[id2].second){
res = max(res, 1 + dp(id1 + 1, id2 + 1));
}
res = max(res, dp(id1 + 1, id2));
res = max(res, dp(id1, id2 + 1));
return res;
}
void solve(){
cin >> L >> N;
v.resize(N); arrival.resize(N);
for(int i = 0; i < N; ++i){
cin >> v[i].first >> v[i].second.first;
v[i].second.second = i;
}
for(int i = 0; i < N; ++i){
double time = (double)L/(double)v[i].second.first + (double)v[i].first;
arrival[i] = {time, v[i].second.second};
}
sort(all(v));
sort(all(arrival));
reverse(all(arrival));
memset(memo, -1, sizeof(memo));
cout << dp(0, 0) << '\n';
}
int32_t main(){
ios_base::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr);
int T = 1;
// cin >> T;
for(int i = 1; i <= T; ++i){
// brute();
solve();
}
return 0;
}
/*
Sample inp
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
2304 KB |
Output is correct |
2 |
Correct |
6 ms |
2304 KB |
Output is correct |
3 |
Correct |
6 ms |
2304 KB |
Output is correct |
4 |
Correct |
6 ms |
2304 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
2432 KB |
Output is correct |
2 |
Correct |
6 ms |
2432 KB |
Output is correct |
3 |
Correct |
6 ms |
2432 KB |
Output is correct |
4 |
Correct |
6 ms |
2304 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
2352 KB |
Output is correct |
2 |
Correct |
6 ms |
2432 KB |
Output is correct |
3 |
Correct |
6 ms |
2432 KB |
Output is correct |
4 |
Correct |
6 ms |
2304 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
2304 KB |
Output is correct |
2 |
Correct |
7 ms |
2304 KB |
Output is correct |
3 |
Correct |
7 ms |
2432 KB |
Output is correct |
4 |
Correct |
7 ms |
2304 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
2432 KB |
Output is correct |
2 |
Correct |
8 ms |
2432 KB |
Output is correct |
3 |
Correct |
8 ms |
2432 KB |
Output is correct |
4 |
Correct |
8 ms |
2432 KB |
Output is correct |