LibreOJ一本通题解报告
目录
·贪心
·二分三分
解析啥的以后会有的
贪心目录
·T2种树
·练习T1
·练习T2
·练习T3
·练习T4
·练习T5
·练习T6
二分三分目录
·T3扩散
T1活动安排
/*
problem:yibentong10000
date:2019/4/21
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
const int maxn = 1e3+;
struct node{
int s,f,dif;
};
node a[maxn];
int n,ans;
inline void init(){
cin>>n;
for(int i =;i <= n;i++)scanf("%d%d",&a[i].s,&a[i].f);
}
inline bool cmp(node x,node y){
return x.f < y.f;
}
int main(){
init();
sort(a+,a++n,cmp);
ans = ;
int tmp = a[].f;
for(int i = ;i <= n;i++)
if(a[i].s >= tmp){
ans++;
tmp = a[i].f;
}
cout<<ans<<endl;
return ;
}
T2种树
/*
problem:yibentong10001
date:2019.4.21
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
const int maxn = 3e4+;
struct node{
int b,e,t;
}a[maxn];
int visit[maxn];
int n,ans,h;
inline void init(){
cin>>n;
cin>>h;
for(int i = ;i <= h;i++)
scanf("%d%d%d",&a[i].b,&a[i].e,&a[i].t);
}
inline bool cmp(node x,node y){
return x.e < y.e;
}
int main(){
init();
sort(a+,a++h,cmp);
for(int i = ;i <= h;i++){
int cnt = ;
for(int j = a[i].b;j <= a[i].e;j++)
cnt += visit[j];
if(cnt >= a[i].t)continue;
for(int j = a[i].e;j >= a[i].b;j--)
if(!visit[j]){
visit[j] = ;
cnt++;
ans++;
if(cnt == a[i].t)break;
}
}
cout<<ans<<endl;
return ;
}
T3喷水装置
/*
problem:yibentong10002
date:2019/4/21
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
using namespace std;
const int maxn = 25e3+;
struct node{
double head,tail;
}a[maxn];
int n,l,w,T,cnt,ans;
inline bool cmp(node x,node y){
return x.head < y.head;
}
inline void init(){
cin>>n>>l>>w;
cnt = ;
for(int i = ,r,position;i <= n;i++){
scanf("%d%d",&position,&r);
if(r <= w/)continue;
cnt++;
double tmp = r*r-w*w/4.0;
a[cnt].head = position-sqrt(tmp);
a[cnt].tail = position+sqrt(tmp);
}
}
int main(){
cin>>T;
while(T--){
init();
sort(a+,a++cnt,cmp);
ans = ;
double position = ;
bool flag = false;
while(position < l){
ans++;
double tmp = position;
for(int i = ;a[i].head <= tmp && i <= cnt;i++)
if(position < a[i].tail)
position = a[i].tail;
if(position == tmp && position < l){
puts("-1");
flag = true;
break;
}
}
if(flag == false)cout<<ans<<endl;
}
return ;
}
T4加工生产调度
/*
problem:yibentong10003
date:2019/4/30
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
using namespace std;
const int maxn = 1e3+;
struct node{
int position,Min;
}p[maxn];
int a[maxn],b[maxn],ans[maxn];
int n;
inline void init(){
cin>>n;
for(int i = ;i <= n;i++)scanf("%d",&a[i]);
for(int i = ;i <= n;i++)scanf("%d",&b[i]);
for(int i = ;i <= n;i++){
p[i].Min = min(a[i],b[i]);
p[i].position = i;
}
}
inline bool cmp(node x,node y){
return x.Min < y.Min;
}
int main(){
init();
sort(p+,p++n,cmp);
int tmph = ,tmpt = n+;
for(int i = ;i <= n;i++)
if(p[i].Min == a[p[i].position]){tmph++;ans[tmph] = p[i].position;}
else{tmpt--;ans[tmpt] = p[i].position;}
int timea = ,timeb = ;
for(int i = ;i <= n;i++){
timea += a[ans[i]];
if(timeb < timea)timeb = timea;
timeb += b[ans[i]];
}
cout<<timeb<<endl;
for(int i = ;i <= n;i++)printf("%d%c",ans[i],i == n ? '\n':' ');
return ;
}
T5智力大冲浪
/*
problem:yibentong10004
date:2019/4/30
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
const int maxn = 5e2+;
struct node{
int x,y;
}a[maxn];
int vis[];
int flag,s;
int cmp(node a,node b){
return a.y > b.y;
}
int main(){
int m,n;
cin>>m>>n;
for(int i = ;i <= n;i++)scanf("%d",&a[i].x);
for(int i = ;i <= n;i++)scanf("%d",&a[i].y);
sort(a+,a+n+,cmp);
for(int i = ;i <= n;i++){
flag = ;
for(int j = a[i].x;j >= ;j--)
if(vis[j] == ){
flag = ;
vis[j] = ;
break;
}
if(flag == ){
for(int k = n;k >= ;k--)
if(vis[k] == ){
vis[k] = ;
break;
}
s += a[i].y;
}
}
printf("%d\n",m-s);
return ;
}
练习T1数列极差
/*
problem:yibentonglian10000
date:2019/5/5
author:Lonely.Devil
*/ #include<iostream>
#include<algorithm>
#include<cstdio>
using namespace std;
const int maxn = 1e3+;
int a[maxn];
int n,Max,Min;
int main(){
cin>>n;
for(int i = ;i <= n; i++)
scanf("%d",&a[i]);
int tmp;
cin>>tmp;
sort(a+,a++n);
Min = a[n];
for(int i = ;i < n;i++)
Min = Min*a[n-i]+;
for(int i = ;i <= n;i++){
a[i+] = a[i]*a[i+]+;
for(int j = i+;j < n;j++)
if(a[j] > a[j+])
swap(a[j],a[j+]);
}
Max = a[n];
cout<<Max-Min<<endl;
return ;
}
练习T2数列分段
/*
problem:yibentonglian10001
date:2019/5/5
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
using namespace std;
int n,m,ans,now;
int main(){
cin>>n>>m;
for(int i = ,tmp;i <= n;i++){
scanf("%d",&tmp);
now += tmp;
if(now < m && i == n){
ans++;
break;
}
if(now > m){
ans++;
now = tmp;
}
if(now == m){
ans++;
now = ;
}
}
cout<<ans<<endl;
return ;
}
练习T3线段
/*
problem:yibentonglian10002
date:2019/5/5
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<algorithm>
using namespace std;
const int maxn = 1e6+;
struct node{
int x,y;
}a[maxn];
int n,now,ans;
inline bool cmp(node a,node b){
return a.y < b.y;
}
int main(){
cin>>n;
for(int i = ;i <= n;i++)scanf("%d%d",&a[i].x,&a[i].y);
sort(a+,a++n,cmp);
now = a[].y;
ans = ;
for(int i = ;i <= n;i++){
if(a[i].x >= now){
ans++;
now = a[i].y;
}
}
cout<<ans<<endl;
return ;
}
练习T4家庭作业
/*
problem:yibentonglian10003
date:2019/5/5
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
const int maxn = 1e6+;
struct node{
int date,val;
}a[maxn];
bool visit[maxn];
bool flag;
int n,ans,s;
inline bool cmp(node a,node b){
return a.val > b.val;
}
int main(){
cin>>n;
for(int i = ;i <= n;i++)scanf("%d%d",&a[i].date,&a[i].val);
memset(visit,false,sizeof(visit));
sort(a+,a++n,cmp);
for(int i = ;i <= n;i++){
if(a[i].date <= s)continue;
flag = false;
for(int j = a[i].date;j >= ;j--)
if(visit[j] == false){
visit[j] = true;
ans += a[i].val;
flag = true;
break;
}
if(flag == false)s = a[i].date;
}
cout<<ans<<endl;
return ;
}
练习T5钓鱼
/*
problem:yibentonglian10004
date:2019/5/5
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<cmath>
using namespace std;
const int maxn = 1e2+;
int a[maxn],d[maxn],t[maxn],fish[maxn];
int n,ans,h,sum,Max,position;
int main(){
cin>>n>>h;
h *= ;
for(int i = ;i <= n;i++)scanf("%d",&a[i]);
for(int i = ;i <= n;i++)scanf("%d",&d[i]);
for(int i = ,tmp;i < n;i++)scanf("%d",&tmp),t[i] = t[i-]+tmp;
for(int i = ;i <= n;i++){
for(int j = ;j <= i;j++)fish[j] = a[j];
int time = h - t[i-];
sum = ;
for(int j = ;j <= time;j++){
Max = ;
for(int k = ;k <= i;k++)
if(fish[k] > Max)Max = fish[k],position = k;
if(Max == )break;
fish[position] -= d[position];
sum += Max;
}
ans = max(ans,sum);
}
cout<<ans<<endl;
return ;
}
练习T6糖果传递
/*
problem:yibentonglian10005
date:2019/5/7
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<algorithm>
#include<cmath>
using namespace std;
const int maxn = 1e6+;
long long a[maxn],c[maxn];
long long total,ave,ans;
int n;
int main(){
cin>>n;
for(int i = ;i <= n;i++)scanf("%d",&a[i]),total += a[i];
ave = total/n;
for(int i = ;i <= n;i++)c[i] = c[i-]+a[i]-ave;
sort(c+,c++n);
int mid = (n+)>>;
for(int i = ;i <= n;i++)
ans += abs(c[mid]-c[i]);
printf("%lld\n",ans);
return ;
}
T1数列分段II
/*
problem:yibentong10000
date:2019/5/7
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
using namespace std;
const int maxn = 1e5+;
int a[maxn];
int n,m,l,r;
inline bool check(int x){
int ans = ,sum = ;
for(int i = ;i <= n;i++){
sum += a[i];
if(sum > x)ans++,sum = a[i];
}
if(ans <= m)return true;
return false;
}
int main(){
cin>>n>>m;
int Max = ,sum = ;
for(int i = ;i <= n;i++)scanf("%d",&a[i]),Max = max(Max,a[i]),sum += a[i];
l = Max,r = sum;
while(l <= r){
int mid = (l+r)>>;
if(check(mid))r = mid-;
else l = mid+;
}
cout<<l<<endl;
return ;
}
T2愤怒的牛
/*
problem:yibentong10001
date:2019/5/7
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<algorithm>
using namespace std;
const int maxn = 1e5+;
int a[maxn];
int n,m;
inline bool check(int x){
int ans = ;
int cnt = a[]+x;
for(int i = ;i <= n;i++){
if(a[i] < cnt)continue;
ans++;
cnt = a[i]+x;
}
return ans >= m;
}
int main(){
cin>>n>>m;
for(int i = ;i <= n;i++)scanf("%d",&a[i]);
sort(a+,a++n);
int l = ,r = a[n];
while(l <= r){
int mid = (l+r)>>;
if(check(mid))l = mid+;
else r = mid-;
}
cout<<r<<endl;
return ;
}
T3扩散
法一：Kruscal
/*
problem:yibentong10002
date:2019/5/11
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<algorithm>
using namespace std;
#define ll long long
const ll maxn = 5e1+;
ll father[maxn],x[maxn],y[maxn];
ll n,cnt,sum;
struct edge{
ll x,y,w;
}e[maxn*maxn/];
ll dist(ll i,ll j){
return (abs(x[i]-x[j])+abs(y[i]-y[j])+)/;
}
ll cmp(edge a,edge b){
return a.w < b.w;
}
ll find(ll x){
if(father[x] == x)return x;
else return father[x] = find(father[x]);
}
void Kruscal(){
sort(e+,e++cnt,cmp);
for(ll i = ;i <= cnt;i++)
if(find(e[i].x) != find(e[i].y)){
father[find(e[i].x)] = find(e[i].y);
sum++;
if(sum == n-){
printf("%lld\n",e[i].w);
break;
}
}
}
int main(){
cin>>n;
for(ll i = ;i <= n;i++)scanf("%d%d",&x[i],&y[i]);
for(ll i = ;i <= n;i++)father[i] = i;
for(ll i = ;i <= n;i++)
for(ll j = i+;j <= n;j++){
cnt++;
e[cnt].x = i;
e[cnt].y = j;
e[cnt].w = dist(i,j);
}
Kruscal();
return ;
}
法二：Floyd
/*
problem:yibentong1000
date:2019/5/11
author:Lonely.Devil
*/ #include<iostream>
#include<cstdio>
#include<algorithm>
using namespace std;
#define ll long long
const ll maxn = 5e1+;
struct point{
ll x,y;
}p[maxn];
ll map[maxn][maxn];
ll n,ans;
inline ll Abs(ll x){
if(x < )x = -x;
return x;
}
inline ll Min(ll x,ll y){
return x < y ? x : y;
}
inline ll Max(ll x,ll y){
return x > y ? x : y;
}
inline ll dist(int i,int j){
return (Abs(p[i].x-p[j].x)+Abs(p[i].y-p[j].y)+)/;
}
inline void Floyd(){
for(ll k = ;k <= n;k++)
for(ll i = ;i <= n;i++)
for(ll j = ;j <= n;j++)
map[i][j] = min(map[i][j],max(map[k][j],map[i][k]));
}
int main(){
cin>>n;
for(ll i = ;i <= n;i++)scanf("%lld%lld",&p[i].x,&p[i].y);
for(ll i = ;i <= n;i++)
for(ll j = ;j <= n;j++)
if(i == j)map[i][j] = ;
for(ll i = ;i <= n;i++)
for(ll j = i+;j <= n;j++)
map[i][j] = map[j][i] = dist(i,j);
Floyd();
for(ll i = ;i <= n;i++)
for(ll j = i+;j <= n;j++)
if(ans < map[i][j])
ans = map[i][j];
cout<<ans<<endl;
return ;
}
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