[AtCoder] C - Jumping Takahashi

C - Jumping Takahashi

  • Time : O(n * (sum(max(a,b)) - x))
  • Space : O(n + sum(max(a,b)) - x)
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#include <bits/stdc++.h>

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")

struct PairHash {
inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }
};

#define MAX_N 1010101
#define INF 987654321
#define EPS 1e-9
#define ll long long
#define pll pair<ll, ll>
#define vpll vector<pll>
#define vall3 vector<array<ll,3>>
#define all3 array<ll,3>
#define all5 array<ll,5>
#define vall5 vector<all5>
#define vll vector<ll>
#define vi vector<int>
#define vs vector<string>
#define usll unordered_set<ll>
#define uspll unordered_set<pll, PairHash>
#define umll unordered_map<ll,ll>
#define vvs vector<vs>
#define vvll vector<vll>
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)

ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }

using namespace std;

string solve(vpll& A, ll x) {
ll n = A.size(), now = 0;
vll B(n);
for(auto& [a, b] : A) {
B.push_back(abs(a - b));
now += max(a,b);
}
if(now < x) return "No";
if(now == x) return "Yes";
now -= x;
vll dp(now + 1);
dp[0] = true;

for(auto& b : B) {
for(ll j = now - b; j >= 0; j--) {
if(dp[j]) dp[j + b] = true;
}
}

return dp[now] ? "Yes" : "No";
}

int main() {
ios_base::sync_with_stdio(0);
ios::sync_with_stdio(0);
cin.tie(0);
ll tc = 1;
//cin>>tc;
for (ll i = 1; i <= tc; i++) {
ll n, x;
cin>>n>>x;
vpll A(n);
for(ll j = 0; j < n; j++) cin>>A[j].first>>A[j].second;
cout<<solve(A,x)<<endl;
}
return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/06/21/PS/AtCoder/abc240-c/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.