杂题（1）

救生员的小小问题

code

//orz 又短又快。。。#include<cstdio>#include<cstdlib>#include<cstring>#include<cmath>#include<algorithm>using namespace std;typedef double ldb;const ldb eps=1e-8;int n,dx[20],dy[20],tg,tw;int sx,sy,tx,ty,bg;ldb ans=1e20,dis=0,lstx,lsty;int cross(int x1,int y1,int x2,int y2,int x,int y){    return (x2-x1)*(y-y1)-(y2-y1)*(x-x1);}int inline nxt(int x){    return x==n?1:x+1;}int inline lst(int x){    return x==1?n:x-1;}ldb dist(ldb x1,ldb y1,ldb x2,ldb y2){    return sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));}ldb calc(ldb x,ldb y,ldb x1,ldb y1){    return dist(x,y,x1,y1)*tg+dist(x1,y1,tx,ty)*tw;}ldb solve(int x1,int y1,int x2,int y2,int x,int y){    ldb lx=x1,ly=y1,rx=x2,ry=y2;    while(fabs(lx-rx)>eps||fabs(ly-ry)>eps){        ldb x1=(lx+lx+rx)/3.0,y1=(ly+ly+ry)/3.0;        ldb x2=(lx+rx+rx)/3.0,y2=(ly+ry+ry)/3.0;        ldb ans1=calc(x,y,x1,y1),ans2=calc(x,y,x2,y2);        if(ans1>ans2)lx=x1,ly=y1;        else rx=x2,ry=y2;    }    return calc(x,y,lx,ly);}int main(){    scanf("%d",&n);    for(int i=1;i<=n;++i)        scanf("%d%d",&dx[i],&dy[i]);    scanf("%d%d%d%d%d%d",&tg,&tw,&sx,&sy,&tx,&ty);    for(int i=1;i<=n;++i)        if(cross(dx[i],dy[i],dx[nxt(i)],dy[nxt(i)],sx,sy)==0){bg=i;break;}    ans=min(ans,solve(dx[bg],dy[bg],dx[nxt(bg)],dy[nxt(bg)],lstx=sx,lsty=sy));    for(int i=nxt(bg);i!=bg;i=nxt(i)){        dis+=dist(dx[i],dy[i],lstx,lsty);        ans=min(ans,solve(dx[i],dy[i],dx[nxt(i)],dy[nxt(i)],lstx=dx[i],lsty=dy[i])+dis*tg);    }    dis=0,lstx=sx,lsty=sy;    for(int i=lst(bg);i!=bg;i=lst(i)){        dis+=dist(dx[nxt(i)],dy[nxt(i)],lstx,lsty);        ans=min(ans,solve(dx[nxt(i)],dy[nxt(i)],dx[i],dy[i],lstx=dx[nxt(i)],lsty=dy[nxt(i)])+dis*tg);    }    printf("%.6lf",ans);}

新司机的小小问题

Description

#include <algorithm>#include <bitset>#include <cassert>#include <cctype>#include <cmath>#include <complex>#include <cstdio>#include <cstdlib>#include <ctime>#include <deque>#include <fstream>#include <iomanip>#include <iostream>#include <list>#include <map>#include <memory.h>#include <queue>#include <set>#include <sstream>#include <stack>#include <string>#include <utility>#include <vector>#define ls (oo << 1)#define rs (oo << 1 | 1)#define mid ((L + R) / 2)using namespace std;typedef long long LL;#define clr(a, x) memset(a, x, sizeof a)const int MAXN = 25;const int MAXM = 7005;struct Node {    int t, x, y, p;    bool operator<(const Node &a) const { return t < a.t; }};Node a[MAXN];int G[MAXN][MAXN];int idx[MAXM], state[1 << 20], num[MAXM], cnt;int dp[20][MAXM];int S[5], vis[5], top;int n, m, K;int ans;void dfs(int cur, int x, int s) {    if (cur > K)        return;    if (x == m) {        idx[cnt] = s;        num[cnt] = cur;        state[s] = cnt++;        return;    }    dfs(cur, x + 1, s << 1);    dfs(cur + 1, x + 1, s << 1 | 1);}void dfs2(int cur, int now, int val, int pos, int s, int x) {    if (cur == top) {        if (s == 0)            ans = max(ans, val);        for (int i = x; i < m; ++i) {            int k = state[s | (1 << i)];            if (now + G[pos][a[i].x] <= a[i].t)                dp[i][k] = max(dp[i][k], val);        }        return;    }    for (int i = 0; i < top; ++i)        if (!vis[i]) {            vis[i] = 1;            int v = S[i], nxt = now + G[pos][a[v].y];            dfs2(cur + 1, nxt, val + max(a[v].p + a[v].t - nxt, 0), a[v].y, s,                 x);            vis[i] = 0;        }}void solve() {    cnt = 0;    scanf("%d%d%d", &n, &m, &K);    dfs(0, 0, 0);    for (int i = 0; i < m; ++i) {        scanf("%d%d%d%d", &a[i].t, &a[i].x, &a[i].y, &a[i].p);        a[i].x--;        a[i].y--;    }    sort(a, a + m);    for (int i = 0; i < n; ++i) {        for (int j = 0; j < n; ++j) {            scanf("%d", &G[i][j]);        }    }    for (int k = 0; k < n; ++k) { // floyd        for (int i = 0; i < n; ++i) {            for (int j = 0; j < n; ++j) {                G[i][j] = min(G[i][j], G[i][k] + G[k][j]);            }        }    }    clr(dp, -1);    ans = 0;    for (int i = 0; i < m; ++i) {        if (G[0][a[i].x] <= a[i].t)            dp[i][state[1 << i]] = max(dp[i][state[1 << i]], 0);        for (int j = 1; j < cnt; ++j)            if (dp[i][j] != -1) {                int st = idx[j];                for (int k = st; ~k; k = k ? (st & (k - 1)) : -1) {                    top = 0;                    int tmp = 0;                    for (int l = 0; l < m; ++l) {                        if (k & (1 << l))                            S[top++] = l;                        else if (st & (1 << l))                            ++tmp;                    }                    if (tmp < K)                        dfs2(0, a[i].t, dp[i][j], a[i].x, st ^ k, i + 1);                }            }    }    printf("%d\n", ans);}int main() {    freopen("Taxi.in","r", stdin);    freopen("Taxi.out","w", stdout);    solve();    return 0;}

龙女仆的小小问题

code

//orz root 大佬强无敌#define _GLIBCXX_IOSTREAM#include<bits/stdc++.h>typedef unsigned int uint;typedef long long ll;typedef unsigned long long ull;typedef double lf;typedef long double llf;typedef std::pair<int,int> pii;#define xx first#define yy secondtemplate<typename T> inline T max(T a,T b){return a>b?a:b;}template<typename T> inline T min(T a,T b){return a<b?a:b;}template<typename T> inline T abs(T a){return a>0?a:-a;}template<typename T> inline bool repr(T &a,T b){return a<b?a=b,1:0;}template<typename T> inline bool repl(T &a,T b){return a>b?a=b,1:0;}template<typename T> inline T gcd(T a,T b){T t;if(a<b){while(a){t=a;a=b%a;b=t;}return b;}else{while(b){t=b;b=a%b;a=t;}return a;}}template<typename T> inline T sqr(T x){return x*x;}#define mp(a,b) std::make_pair(a,b)#define pb push_back#define I inline#define mset(a,b) memset(a,b,sizeof(a))#define mcpy(a,b) memcpy(a,b,sizeof(a))#define fo0(i,n) for(int i=0,i##end=n;i<i##end;i++)#define fo1(i,n) for(int i=1,i##end=n;i<=i##end;i++)#define fo(i,a,b) for(int i=a,i##end=b;i<=i##end;i++)#define fd0(i,n) for(int i=(n)-1;~i;i--)#define fd1(i,n) for(int i=n;i;i--)#define fd(i,a,b) for(int i=a,i##end=b;i>=i##end;i--)#define foe(i,x)for(__typeof(x.end())i=x.begin();i!=x.end();++i)struct Cg{I char operator()(){return getchar();}};struct Cp{I void operator()(char x){putchar(x);}};#define OP operator#define RT return *this;#define RX x=0;char t=P();while((t<'0'||t>'9')&&t!='-')t=P();bool f=0;\if(t=='-')t=P(),f=1;x=t-'0';for(t=P();t>='0'&&t<='9';t=P())x=x*10+t-'0'#define RL if(t=='.'){lf u=0.1;for(t=P();t>='0'&&t<='9';t=P(),u*=0.1)x+=u*(t-'0');}if(f)x=-x#define RU x=0;char t=P();while(t<'0'||t>'9')t=P();x=t-'0';for(t=P();t>='0'&&t<='9';t=P())x=x*10+t-'0'#define TR *this,x;return x;I bool IS(char x){return x==10||x==13||x==' ';}template<typename T>struct Fr{T P;I Fr&OP,(int &x){RX;if(f)x=-x;RT}I OP int(){int x;TR}I Fr&OP,(ll &x){RX;if(f)x=-x;RT}I OP ll(){ll x;TR}I Fr&OP,(char &x){for(x=P();IS(x);x=P());RT}I OP char(){char x;TR}I Fr&OP,(char *x){char t=P();for(;IS(t);t=P());if(~t){for(;!IS(t)&&~t;t=P())*x++=t;}*x++=0;RT}I Fr&OP,(lf &x){RX;RL;RT}I OP lf(){lf x;TR}I Fr&OP,(llf &x){RX;RL;RT}I OP llf(){llf x;TR}I Fr&OP,(uint &x){RU;RT}I OP uint(){uint x;TR}I Fr&OP,(ull &x){RU;RT}I OP ull(){ull x;TR}};Fr<Cg>in;#define WI(S) if(x){if(x<0)P('-'),x=-x;char s[S],c=0;while(x)s[c++]=x%10+'0',x/=10;while(c--)P(s[c]);}else P('0')#define WL if(y){lf t=0.5;for(int i=y;i--;)t*=0.1;if(x>=0)x+=t;else x-=t,P('-');*this,(ll)(abs(x));P('.');if(x<0)x=-x;\while(y--){x*=10;x-=floor(x*0.1)*10;P(((int)x)%10+'0');}}else if(x>=0)*this,(ll)(x+0.5);else *this,(ll)(x-0.5);#define WU(S) if(x){char s[S],c=0;while(x)s[c++]=x%10+'0',x/=10;while(c--)P(s[c]);}else P('0')template<typename T>struct Fw{T P;I Fw&OP,(int x){WI(10);RT}I Fw&OP()(int x){WI(10);RT}I Fw&OP,(uint x){WU(10);RT}I Fw&OP()(uint x){WU(10);RT}I Fw&OP,(ll x){WI(19);RT}I Fw&OP()(ll x){WI(19);RT}I Fw&OP,(ull x){WU(20);RT}I Fw&OP()(ull x){WU(20);RT}I Fw&OP,(char x){P(x);RT}I Fw&OP()(char x){P(x);RT}I Fw&OP,(const char *x){while(*x)P(*x++);RT}I Fw&OP()(const char *x){while(*x)P(*x++);RT}I Fw&OP()(lf x,int y){WL;RT}I Fw&OP()(llf x,int y){WL;RT}};Fw<Cp>out;const int N=205,M=400000,Nf=255;struct edge{    int to,w,ne,v;}e[M*2+2];int p[N+1],em=2,q[N<<1],qe,fa[N+1],dis[N+1];bool vis[N+1];inline void add(int a,int b,int w,int v){    e[em].to=b,e[em].w=w,e[em].v=v,e[em].ne=p[a],p[a]=em++;    e[em].to=a,e[em].w=0,e[em].v=-v,e[em].ne=p[b],p[b]=em++;}inline int wxhcoder(int s,int t,int &cost){    cost=0;    int flow=0;    while(1)    {        memset(dis,0x3f,sizeof(dis));        memset(fa,0x3f,sizeof(fa));        dis[s]=0;         vis[s]=1;        q[0]=s,qe=1;        for(int i=0;i^qe;i++)        {            int k=q[i&Nf];            for(int j=p[k];j;j=e[j].ne)                if(e[j].w&&dis[e[j].to]>dis[k]+e[j].v)                {                    dis[e[j].to]=dis[k]+e[j].v;                    fa[e[j].to]=j^1;                    if(!vis[e[j].to])q[(qe++)&Nf]=e[j].to,vis[e[j].to]=1;                }            vis[k]=0;        }        if(fa[t]==0x3f3f3f3f)break;        int rfl=0x7fffffff;        for(int i=t;i!=s;i=e[fa[i]].to)            repl(rfl,e[fa[i]^1].w);        cost+=dis[t]*rfl;        flow+=rfl;        for(int i=t;i!=s;i=e[fa[i]].to)            e[fa[i]].w+=rfl,e[fa[i]^1].w-=rfl;    }    return flow;}int n,m,a[100],b[100],g[100];int main(){    in,n,m;    fo0(i,n)in,a[i];    fo0(i,n)in,b[i];    int S=n*2,T=n*2+1;    fo0(i,n)add(S,i,1,0);    fo0(i,n)add(i+n,T,1,0);    fo0(i,n)    {        mset(g,0xff);        for(int x=a[i],j=0;!~g[x];x=(ll)x*m%n,j++)            g[x]=j;        fo(j,i+1,n-1)if(~g[a[j]])add(i,j+n,1,g[a[j]]*(a[j]+1));    }    fo0(i,n)add(S,i+n,1,b[i]);    int cost,flow=wxhcoder(S,T,cost);    out,cost,'\n';}