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暑期集训6

时间:2022-08-18 21:45:13浏览次数:82  
标签:f1 f2 dp2 dp1 double 暑期 printf 集训

rank 19 mark 70

题纲:T1:接力比赛(DP优化(随机化+上界递增优化));T2:树上竞技:计数类DP;T3:思维(暴力找max距离的优化:从最大距离的一遍反着找最近的距离点对);T4:神仙图DP....

由于进度问题,我不想写博客了,具体的题目可以看:https://tg.hszxoj.com/contest/509

题解:

T1:

随机化,边界取不会T的最大
struct node
{
    ll w, v;
}p[maxn], q[maxn];

int main()
{
    freopen("game.in", "r", stdin);
    freopen("game.out", "w", stdout);
    
    n = read(); m = read();
    for(int i=1; i<=n; i++)
    {
        p[i].w = read(); p[i].v = read();
        s1 += p[i].w;
    }
    for(int i=1; i<=m; i++)
    {
        q[i].w = read(); q[i].v = read();
        s2 += q[i].w;
    }
    W1 = min(s1, s2); W2 = max(s1, s2);
    for(int i=1; i<=W2; i++)
    {
        dp1[i] = dp2[i] = -1e12;
    }
    //f1[0] = 1;
    W = 3.5e5;
    for(int i=1; i<=n; i++)
    {
        for(int j=W; j>=p[i].w; j--)
        {
            //printf("%d %lld\n", j, j-p[i].w);
            //printf("hefa : %d %d\n", f1[j], f1[j-p[i].w]);
            //f1[j] = f1[j] | f1[j-p[i].w];
            //if(f1[j-p[i].w])
            //{
                dp1[j] = max(dp1[j], dp1[j-p[i].w]+p[i].v);
                //printf("dp1[%d] = %lld\n", j, dp1[j]);
            //}
        }
    }
    //f2[0] = 1;
    for(int i=1; i<=m; i++)
    {
        for(int j=W; j>=q[i].w; j--)
        {
            //printf("%d %lld\n", j, j-q[i].w);
            //printf("hefa: %d %d\n", f2[j], f2[j-q[i].w]);
            //f2[j] = f2[j] | f2[j-q[i].w];
            //if(f2[j-q[i].w])
            //{
                dp2[j] = max(dp2[j], dp2[j-q[i].w]+q[i].v);
                //printf("dp2[%d] = %lld\n", j, dp2[j]);
            //}
        }
    }
    for(int i=1; i<=W1; i++)
    {
        //if(f1[i] && f2[i])
        //{
            ans = max(ans, dp1[i]+dp2[i]);
            //printf("dp1[%d] = %lld dp2 = %lld\n", i, dp1[i], dp2[i]);
        //}
    }
    printf("%lld\n", ans);
  
    return 0;
}


边界优化,sort一下效果更好
int n, m;
ll s1, s2, W, ans, dp1[N], dp2[N], W1, W2;
bool f1[N], f2[N];

inline int read()
{
    int x = 0, f = 1;
    char ch = getchar();
    while(ch < '0' || ch > '9')
    {
        if(ch == '-')
        {
            f = -1;
        }
        ch = getchar();
    }
    while(ch >= '0' && ch <= '9')
    {
        x = (x << 1) + (x << 3) + (ch^48);
        ch = getchar();
    }
    return x * f;
}

struct node
{
    ll w, v;
    bool operator < (const node &T) const 
    {
        if(w == T.w) return v < T.v;
        return w < T.w;
    }
}p[maxn], q[maxn];

int main()
{
    freopen("game.in", "r", stdin);
    freopen("game.out", "w", stdout);
    
    n = read(); m = read();
    for(int i=1; i<=n; i++)
    {
        p[i].w = read(); p[i].v = read();
        //s1 += p[i].w;
    }
    for(int i=1; i<=m; i++)
    {
        q[i].w = read(); q[i].v = read();
        //s2 += q[i].w;
    }
    sort(p+1, p+1+n);
    sort(q+1, q+1+m);
    memset(dp1, -64, sizeof(dp1));
    memset(dp2, -64, sizeof(dp2));
    dp1[0] = dp2[0] = 0;
    //W1 = min(s1, s2); W2 = max(s1, s2);
    //for(int i=1; i<=W2; i++)
    //{
        //dp1[i] = dp2[i] = -1e12;
    //}
    //f1[0] = 1;
    //W = 3.5e5;
    for(int i=1; i<=n; i++)
    {
        s1 += p[i].w;
        for(int j=s1; j>=p[i].w; j--)
        {
            //printf("%d %lld\n", j, j-p[i].w);
            //printf("hefa : %d %d\n", f1[j], f1[j-p[i].w]);
            //f1[j] = f1[j] | f1[j-p[i].w];
            //if(f1[j-p[i].w])
            //{
                dp1[j] = max(dp1[j], dp1[j-p[i].w]+p[i].v);
                //printf("dp1[%d] = %lld\n", j, dp1[j]);
            //}
        }
    }
    //f2[0] = 1;
    for(int i=1; i<=m; i++)
    {
        s2 += q[i].w;
        for(int j=s2; j>=q[i].w; j--)
        {
            //printf("%d %lld\n", j, j-q[i].w);
            //printf("hefa: %d %d\n", f2[j], f2[j-q[i].w]);
            //f2[j] = f2[j] | f2[j-q[i].w];
            //if(f2[j-q[i].w])
            //{
                dp2[j] = max(dp2[j], dp2[j-q[i].w]+q[i].v);
                //printf("dp2[%d] = %lld\n", j, dp2[j]);
            //}
        }
    }
    W = min(s1, s2);
    for(int i=1; i<=W; i++)
    {
        //if(f1[i] && f2[i])
        //{
            ans = max(ans, dp1[i]+dp2[i]);
            //printf("dp1[%d] = %lld dp2 = %lld\n", i, dp1[i], dp2[i]);
        //}
    }
    printf("%lld\n", ans);
  
    return 0;
}


T2:
image

暴力分:https://www.cnblogs.com/Catherine2006/p/16600202.html(from Catherine_leah)
T3:
细节(1)double开够(2)因为表针是一个环,所以pos=0-->=n,pos=n+1-->=0,if(h>=12)h-=12

int n;
double sz[50100],fz[50100];
inline double get_hour(double x,double y,double z){return x*30.0+y*0.5+z*0.5/60.0;}
inline double get_minu(double x,double y,double z){return y*6.0+z*0.1;}
inline double Dis(double x,double y)
{
	if(x<y)swap(x,y);
	return ((x-y)>180.0)?(360.0-x+y):(x-y);
}
char sre[10];
int main()
{
	freopen("unreal.in","r",stdin);
	freopen("unreal.out","w",stdout);
	n=re();
	_f(i,1,n)
	{
		double h=re(),m=re(),s=re();
		if(h>=12)h-=12;
		sz[i]=get_hour(h,m,s);
		fz[i]=get_minu(h,m,s);
	}
	double myasn=1000000000.00;
	sort(fz+1,fz+1+n);
	sort(sz+1,sz+1+n);
	for(double i=0;i<12;i+=1)
	for(double j=0;j<60;j+=1)
	for(double k=0;k<60;k+=0.01)
	{
		double t1=get_hour(i,j,k);
		double t2=get_minu(i,j,k);
		double ft1=(t1<180.0)?(t1+180.0):(t1-180.0);
		double ft2=(t2<180.0)?(t2+180.0):(t2-180.0);
		int p1=upper_bound(sz+1,sz+1+n,ft1)-sz;
		int p2=upper_bound(fz+1,fz+1+n,ft2)-fz;
		int pp1=p1-1;
		int pp2=p2-1;
		if(p1==n+1)p1=1;
		if(p2==n+1)p2=1;//就是随便算一个?
		if(pp1==0)pp1=n;
		if(pp2==0)pp2=n;
		//p1 and p1-1-->算和t的距离差
		//p2 and p2-1
		double ans1=Dis(t1,sz[p1]);
		ans1=max(ans1,Dis(t1,sz[pp1]));
		double ans2=Dis(t2,fz[p2]);
		ans2=max(ans2,Dis(t2,fz[pp2]));
		if(ans1>ans2)myasn=min(myasn,ans1);
		else myasn=min(myasn,ans2);
	}
	chu("%lf",myasn);
	return 0;
}

标签:f1,f2,dp2,dp1,double,暑期,printf,集训
From: https://www.cnblogs.com/403caorong/p/16600231.html

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