第十一章模拟 9 AcWing 1542. 老鼠和大米

川长思鸟来 2024-03-31 12:43 12阅读 0赞

## 第十一章 模拟 9 AcWing 1542. 老鼠和大米 ##

### 原题链接 ###

[AcWing 1542. 老鼠和大米][AcWing 1542.]

### 算法标签 ###

模拟

### 思路 ###

依题意模拟

### 代码 ###

#pragma GCC optimize(2)
    #pragma GCC optimize(3)
    #include<bits/stdc++.h>
    #define int long long
    #define xx first
    #define yy second
    #define ump unordered_map
    #define us unordered_set
    #define pq priority_queue
    #define pb push_back
    #define rep(i, a, b) for(int i=a;i<b;++i)
    #define Rep(i, a, b) for(int i=a;i>=b;--i)
    using namespace std;
    typedef pair<int, int> PII;
    const int N=10005, inf=0x3f3f3f3f3f3f3f3f, mod=1e9+7;
    const double Exp=1e-8;
    //int t, n, m, cnt, ans;
    int np, nc, w[N], ans[N];
    inline int rd(){
       int s=0,w=1;
       char ch=getchar();
       while(ch<'0'||ch>'9'){if(ch=='-')w=-1;ch=getchar();}
       while(ch>='0'&&ch<='9') s=s*10+ch-'0',ch=getchar();
       return s*w;
    }
    void put(int x) {
        if(x<0) putchar('-'),x=-x;
        if(x>=10) put(x/10);
        putchar(x%10^48);
    }
    signed main(){
    	ios::sync_with_stdio(false);
    	cin.tie(0);
    	cout.tie(0);
    	np=rd(), nc=rd();
    	rep(i, 0, np){
    	    w[i]=rd();
    	}
    	vector<int> a(np);
    	rep(i, 0, np){
    	    a[i]=rd();
    	}
    	while(a.size()>1){
    	    vector<int> b;
    	    // 下一轮老鼠数
    	    int re=(a.size()+nc-1)/nc;
    	    for(int i=0; i<a.size();){
    	        int j=min((int)a.size(), i+nc);
    	        int t=i;
    	        rep(k, i, j){
    	            if(w[a[k]]>w[a[t]]){
    	                t=k;
    	            }
    	        }
    	        // 获胜老鼠加入下一轮
    	        b.pb(a[t]);
    	        // 未获胜老鼠得出排名
    	        rep(k, i, j){
    	            if(k!=t){
    	                ans[a[k]]=re+1;
    	            }
    	        }
    	        i=j;
    	    }
    	    a=b;
    	}
    	ans[a[0]]=1;
    	printf("%lld", ans[0]);
    	rep(i, 1, np){
    	    printf(" %lld", ans[i]);
    	}
    	return 0;
    }

### tips ###

a/b上取整

(a+b-1)/b

证明  
![在这里插入图片描述][c2cd1ba7055d4363b006fed7672a187a.png]

### 参考文献 ###

[AcWing 1542. 老鼠和大米（PAT甲级辅导课）y总视频讲解][AcWing 1542. _PAT_y]

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![在这里插入图片描述][9cb4cb80a18345158f8a69e2f196e5b9.png]

[AcWing 1542.]: https://www.acwing.com/problem/content/1544/
[c2cd1ba7055d4363b006fed7672a187a.png]: https://image.dandelioncloud.cn/pgy_files/images/2024/03/31/4e5bbea3ac5740fcb365595fa016ce95.png
[AcWing 1542. _PAT_y]: https://www.acwing.com/video/1270/
[9cb4cb80a18345158f8a69e2f196e5b9.png]: https://image.dandelioncloud.cn/pgy_files/images/2024/03/31/854d2ecbf5904e0ebf3782127f9a6ac3.png