A.分三种情况。
#include<bits/stdc++.h> using namespace std; int n,k,t; int main() { ios::sync_with_stdio(0); cin >> n >> k >> t; if(t <= k) cout << t << endl; else if(t <= n) cout << k << endl; else cout << k-(t-n) << endl; }
B.a,b,c不共线且ab == bc则Yes。
#include<bits/stdc++.h> using namespace std; long long ax,ay,bx,by,cx,cy; int main() { ios::sync_with_stdio(0); cin >> ax >> ay >> bx >> by >> cx >> cy; if((ay-by)*(bx-cx) == (by-cy)*(ax-bx) || (ay-by)*(ay-by)+(ax-bx)*(ax-bx) != (by-cy)*(by-cy)+(bx-cx)*(bx-cx)) cout << "No" << endl; else cout << "Yes" << endl; return 0; }
C.暴力剪枝一下。
#include<bits/stdc++.h> #define PI acos(-1) using namespace std; int n,ok[1005]; struct xx { double a1,a2,a3,a4,a5; }a[1005]; double f(int i,int j,int k) { double t1 = a[k].a1-a[i].a1,t2 = a[k].a2-a[i].a2,t3 = a[k].a3-a[i].a3,t4 = a[k].a4-a[i].a4,t5 = a[k].a5-a[i].a5; double x1 = a[j].a1-a[i].a1,x2 = a[j].a2-a[i].a2,x3 = a[j].a3-a[i].a3,x4 = a[j].a4-a[i].a4,x5 = a[j].a5-a[i].a5; return acos((t1*x1+t2*x2+t3*x3+t4*x4+t5*x5)/sqrt(t1*t1+t2*t2+t3*t3+t4*t4+t5*t5)/sqrt(x1*x1+x2*x2+x3*x3+x4*x4+x5*x5)); } int main() { ios::sync_with_stdio(0); cin >> n; for(int i = 1;i <= n;i++) { cin >> a[i].a1 >> a[i].a2 >> a[i].a3 >> a[i].a4 >> a[i].a5; ok[i] = 1; } for(int i = 1;i <= n;i++) { if(!ok[i]) continue; for(int j = 1;j <= n;j++) { if(i == j) continue; if(!ok[i]) break; for(int k = 1;k <= n;k++) { if(k == i) continue; if(k == j) continue; if(!ok[i]) break; double t1 = f(i,k,j); double t2 = f(k,i,j); double t3 = f(j,k,i); if(t1/PI*180 < 90-1e-6) ok[i] = 0; if(t2/PI*180 < 90-1e-6) ok[k] = 0; if(t3/PI*180 < 90-1e-6) ok[j] = 0; } } } int cnt = 0; for(int i = 1;i <= n;i++) { if(ok[i]) cnt++; } cout << cnt << endl; for(int i = 1;i <= n;i++) { if(ok[i]) cout << i << endl; } return 0; }
D.暴力每个gcd的值,统计前缀个数和前缀和,优化一下。
#include<bits/stdc++.h> using namespace std; int n,cnt[2000005] = {0},vis[2000005] = {0}; long long x,y,sum[2000005] = {0}; int main() { ios::sync_with_stdio(0); cin >> n >> x >> y; for(int i = 1 ;i <= n;i++) { int x; cin >> x; cnt[x]++; sum[x] += x; } for(int i = 1;i <= 2000000;i++) { cnt[i] += cnt[i-1]; sum[i] += sum[i-1]; } long long ans = 1e18; for(int i = 2;i <= 1000000;i++) { if(vis[i]) continue; long long xx = 0; for(int j = i;j <= 1000000+i;j += i) { vis[j] = 1; int t = max(j-(int)(x/y),j-i+1); xx += ((long long)(cnt[j]-cnt[t-1])*j-(sum[j]-sum[t-1]))*y; xx += (cnt[t-1]-cnt[j-i])*x; } ans = min(ans,xx); } cout << ans << endl; return 0; }