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3.17模擬總結

今天終於弄明白了lemon評測的檔案格式!

T1

 

經典的一道題,貪心:對於第一個元素,只能由第二個元素給他,給完之後,第二個元素就變成了第一個元素,一直迴圈下去就行

#include<cstdio>
#include<queue>
#include<iostream>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<cctype>
#include<vector>
#include<string>
using
namespace std; int n,a[105]; int sum,ans; int main(){ freopen("Playcard.in","r",stdin); freopen("Playcard.out","w",stdout); scanf("%d",&n); for(int i=1;i<=n;++i){ scanf("%d",a+i); sum += a[i]; } sum /= n; for(int i=1;i<=n;++i){ int x;
if(a[i] != sum){ ans++; x = a[i] - sum; a[i] = sum; a[i+1] += x; } } printf("%d",ans); }

T2

 

 貪心,每次找到第一個單調減的數字,刪掉

#include<cstdio>
#include<queue>
#include<iostream>
#include<cstring>
#include<algorithm>
#include
<cmath> #include<cctype> #include<vector> #include<string> using namespace std; int main(){ freopen("delete.in","r",stdin); freopen("delete.out","w",stdout); string a; int s; cin >> a >> s; int len = a.length(); for(int i=1;i<=s;++i){ for(int j=0;j<len;++j){ if(a[j] > a[j+1]){ for(int k=j;k<len-1;++k) a[k] = a[k+1]; break; } } } int flag = 1; for(int i=0;i<len-s;++i){ if(a[i] != '0')flag = 0; if(!flag)putchar(a[i]); } if(flag)putchar('0'); }

T3

 

 要求最長不上升子序列個數,就是求最長上升序列的長度,樹狀陣列維護dp即可

#include<cstdio>
#include<queue>
#include<iostream>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<cctype>
#include<vector>
#include<string>
using namespace std;
const int N = 30000 + 5;
int c[N],a[1005],n,ans,mx;
inline int lowbit(int x){
    return x & (-x);
}
inline void update(int i,int x){
    for(;i<=mx;i+=lowbit(i))c[i] = max(c[i],x);
}
inline int query(int i){
    int res = 0;
    for(;i;i-=lowbit(i))res = max(res,c[i]);
    return res;
}
int main(){
    freopen("missile.in","r",stdin);
    freopen("missile.out","w",stdout);
    int x;
    while(scanf("%d",&x) == 1){
        a[++n] = x;
        mx = max(mx,x);
    }
    for(int i=1;i<=n;++i){
        int now = query(a[i])+1;
        ans = max(ans,now);
        update(a[i]+1,now);
    }
    printf("%d",ans);
}

T4

 

 這個就是線段覆蓋問題,貪心的板子,注意這裡的區間左閉右開,我就當成閉區間錯了(

按右端點排序,如果當前左端點不小於之前最右端點,就能加入

#include<cstdio>
#include<queue>
#include<iostream>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<cctype>
#include<vector>
#include<string>
using namespace std;
struct qwq{
    int st,ed;
    bool operator <(qwq x)const{
        if(ed != x.ed)return ed < x.ed;
        return st > x.st;
    } 
}a[1005];
int main(){
    freopen("act.in","r",stdin);
    freopen("act.out","w",stdout);
    int n;
    scanf("%d",&n);
    for(int i=1;i<=n;++i)scanf("%d%d",&a[i].st,&a[i].ed);
    sort(a+1,a+1+n);
    int now_end = -1,ans = 0;
    for(int i=1;i<=n;++i){
        if(a[i].st >= now_end){
            now_end = a[i].ed;
            ans++;
        }
    }
    printf("%d",ans);
}

T5

 

 大體上和上一道題一樣,右端點排序,但這回是閉區間,而且條件變成當前區間左端點不超過之前最右端點

#include<cstdio>
#include<queue>
#include<iostream>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<cctype>
#include<vector>
#include<string>
using namespace std;
struct qwq{
    int x,y;
    bool operator <(qwq b)const{
        return y < b.y;
    }
}a[10005];
int main(){
    freopen("a.in","r",stdin);
    freopen("a.out","w",stdout); 
    int n;
    scanf("%d",&n);
    for(int i=1;i<=n;++i)scanf("%d%d",&a[i].x,&a[i].y);
    sort(a+1,a+1+n);
    int now = a[1].y;
    int ans = 1;
    for(int i=2;i<=n;++i){
        if(now >= a[i].x)continue;
        ans++;
        now = a[i].y;
    }
    printf("%d",ans);
}