A - Intersection
O(1)
素直にシミュレーションしましょう。
C++
#include <bits/stdc++.h>
#define rep(i,n) for(int i=0; i<(n); ++i)
#define repx(i,x,n) for(int i=x; i<(n); ++i)
#define fixed_setprecision(n) fixed << setprecision((n))
#define execution_time(ti) printf("Execution Time: %.4lf sec\n", 1.0 * (clock() - ti) / CLOCKS_PER_SEC);
#define pai 3.1415926535897932384
#define NUM_MAX 2e18
#define NUM_MIN -1e9
using namespace std;
using ll = long long;
using P = pair<int,int>;
template<class T> inline bool chmax(T& a, T b){ if(a<b){ a=b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b){ if(a>b){ a=b; return 1; } return 0; }
int main() {
int L1, R1, L2, R2;
cin >> L1 >> R1 >> L2 >> R2;
int ans=0;
rep(i, 101){
if(L1 < i && i <= R1 && L2 < i && i <= R2){
ans++;
}
}
cout << ans << endl;
return 0;
}
B - Tournament Result
O(N^2)
(x, y)に対象なインデックスは、(y, x) です。
C++
#include <bits/stdc++.h>
#define rep(i,n) for(int i=0; i<(n); ++i)
#define repx(i,x,n) for(int i=x; i<(n); ++i)
#define fixed_setprecision(n) fixed << setprecision((n))
#define execution_time(ti) printf("Execution Time: %.4lf sec\n", 1.0 * (clock() - ti) / CLOCKS_PER_SEC);
#define pai 3.1415926535897932384
#define NUM_MAX 2e18
#define NUM_MIN -1e9
using namespace std;
using ll = long long;
using P = pair<int,int>;
template<class T> inline bool chmax(T& a, T b){ if(a<b){ a=b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b){ if(a>b){ a=b; return 1; } return 0; }
int main() {
int N;
cin >> N;
vector<string> A(N);
rep(i, N) cin >> A[i];
rep(y, N){
rep(x, N){
string str = A[y].substr(x,1) + A[x].substr(y,1);
if(!(str == "--" || str == "WL" || str == "LW" || str == "DD")){
cout << "incorrect" << endl;
return 0;
}
}
}
cout << "correct" << endl;
return 0;
}
C - NewFolder(1)
O(N)
連想配列を使うと簡単にできます。
C++
#include <bits/stdc++.h>
#define rep(i,n) for(int i=0; i<(n); ++i)
#define repx(i,x,n) for(int i=x; i<(n); ++i)
#define fixed_setprecision(n) fixed << setprecision((n))
#define execution_time(ti) printf("Execution Time: %.4lf sec\n", 1.0 * (clock() - ti) / CLOCKS_PER_SEC);
#define pai 3.1415926535897932384
#define NUM_MAX 2e18
#define NUM_MIN -1e9
using namespace std;
using ll = long long;
using P = pair<int,int>;
template<class T> inline bool chmax(T& a, T b){ if(a<b){ a=b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b){ if(a>b){ a=b; return 1; } return 0; }
int main() {
int N;
cin >> N;
vector<string> S(N);
rep(i, N) cin >> S[i];
map<string, int> mp;
rep(i, N){
if(mp[S[i]] == 0){
cout << S[i] << endl;
}else{
cout << S[i] << "(" << mp[S[i]] << ")" << endl;
}
mp[S[i]]++;
}
return 0;
}
D - Flipping and Bonus
O(N^2)
コイントスN回とカウンタでDPの漸化式を作成します。
iがコイントス、jがカウンタ。
漸化式
dp[i][j] = dp[i-1][j-1] + X[i] + Bonus[j];
C++
#include <bits/stdc++.h>
#define rep(i,n) for(int i=0; i<(n); ++i)
#define repx(i,x,n) for(int i=x; i<(n); ++i)
#define fixed_setprecision(n) fixed << setprecision((n))
#define execution_time(ti) printf("Execution Time: %.4lf sec\n", 1.0 * (clock() - ti) / CLOCKS_PER_SEC);
#define pai 3.1415926535897932384
#define NUM_MAX 2e18
#define NUM_MIN -1e9
using namespace std;
using ll = long long;
using P = pair<int,int>;
template<class T> inline bool chmax(T& a, T b){ if(a<b){ a=b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b){ if(a>b){ a=b; return 1; } return 0; }
int main() {
int N, M;
cin >> N >> M;
vector<ll> X(N+1);
repx(i, 1, N+1) cin >> X[i];
vector<ll> Bonus(N+1, 0);
rep(i, M){
ll C, Y;
cin >> C >> Y;
Bonus[C] = Y;
}
vector<vector<ll>> dp(N+1, vector<ll>(N+1, -1));
dp[0][0] = 0;
for(int i = 1; i <= N; i++){
for(int j = 1; j <= i; j++) dp[i][j] = dp[i-1][j-1] + X[i] + Bonus[j];
dp[i][0] = 0;
for(int j = 0; j < i; j++) dp[i][0] = max(dp[i][0], dp[i - 1][j]);
}
ll ans = 0;
for (int i = 0; i <= N; i++) ans = max(ans, dp[N][i]);
cout << ans << endl;
return 0;
}