Hướng dẫn giải của Đế chế
Chỉ dùng lời giải này khi không có ý tưởng, và đừng copy-paste code từ lời giải này. Hãy tôn trọng người ra đề và người viết lời giải.
Nộp một lời giải chính thức trước khi tự giải là một hành động có thể bị ban.
Nộp một lời giải chính thức trước khi tự giải là một hành động có thể bị ban.
Lưu ý: Các code mẫu dưới đây chỉ mang tính tham khảo và có thể không AC được bài tập này
Code mẫu của flashmt
const fi=''; fo=''; maxn=100010; type ar=array[0..maxn] of longint; arr=array[0..2,0..maxn] of longint; var n:longint; nh:array[0..2] of longint; a,b,c,x,y,z,par:ar; d,h,v:arr; re:int64; procedure rf; var i:longint; begin read(n); for i:=1 to n do begin read(a[i],b[i],c[i]); x[i]:=a[i]; y[i]:=b[i]; z[i]:=c[i]; d[0,i]:=i; d[1,i]:=i; d[2,i]:=i; par[i]:=i; end; end; procedure sort(var x:ar;z,l,r:longint); var i,j,t,y:longint; begin i:=l; j:=r; t:=x[(i+j) shr 1]; repeat while x[i]<t do i:=i+1; while x[j]>t do j:=j-1; if i<=j then begin y:=x[i]; x[i]:=x[j]; x[j]:=y; y:=d[z,i]; d[z,i]:=d[z,j]; d[z,j]:=y; i:=i+1; j:=j-1; end; until i>j; if i<r then sort(x,z,i,r); if l<j then sort(x,z,l,j); end; procedure add(z,x:longint); var cha,con:longint; begin inc(nh[z]); con:=nh[z]; cha:=con shr 1; while (cha>0) and (v[z,h[z,cha]]>v[z,x]) do begin h[z,con]:=h[z,cha]; con:=cha; cha:=con shr 1; end; h[z,con]:=x; end; function pop(z:longint):longint; var x,cha,con:longint; begin pop:=h[z,1]; x:=h[z,nh[z]]; dec(nh[z]); cha:=1; con:=2; while con<=nh[z] do begin if (con<nh[z]) and (v[z,h[z,con+1]]<v[z,h[z,con]]) then inc(con); if v[z,x]<=v[z,h[z,con]] then break; h[z,cha]:=h[z,con]; cha:=con; con:=cha shl 1; end; h[z,cha]:=x; end; procedure init; var i:longint; begin for i:=1 to n-1 do begin v[0,i]:=x[i+1]-x[i]; v[1,i]:=y[i+1]-y[i]; v[2,i]:=z[i+1]-z[i]; add(0,i); add(1,i); add(2,i); end; end; function getmin:longint; begin if (v[0,h[0,1]]<=v[1,h[1,1]]) and (v[0,h[0,1]]<=v[2,h[2,1]]) then exit(0) else if v[1,h[1,1]]<=v[2,h[2,1]] then exit(1) else exit(2); end; function find(x:longint):longint; begin if x=par[x] then exit(x) else begin par[x]:=find(par[x]); exit(par[x]); end; end; procedure pr; var i,t,u,p,q:longint; begin sort(x,0,1,n); sort(y,1,1,n); sort(z,2,1,n); init; for i:=1 to n-1 do while true do begin t:=getmin; u:=pop(t); p:=find(d[t,u]); q:=find(d[t,u+1]); if p<>q then begin re:=re+v[t,u]; par[q]:=p; break; end; end; writeln(re); end; begin assign(input,fi); reset(input); rf; pr; close(input); end.
Code mẫu của happyboy99x
#include<cstdio> #include<algorithm> using namespace std; const int N = 100000 + 2; struct empire { int x, y, z, id; int distance(const empire &o) { return min(abs(x - o.x), min(abs(y - o.y), abs(z - o.z))); } } a[N]; bool x_cmp(const empire &a, const empire &b) { return a.x < b.x; } bool y_cmp(const empire &a, const empire &b) { return a.y < b.y; } bool z_cmp(const empire &a, const empire &b) { return a.z < b.z; } struct edge { int u, v, d; bool operator < (const edge &o) const { return d < o.d; } edge() {} edge(int u, int v, int d): u(u), v(v), d(d) {} } e[3*N]; int p[N], n; void initSet(int n) { for(int i = 0; i < n; ++i) p[i] = i; } int getSet(int u) { return p[u] == u ? u : p[u] = getSet(p[u]); } void enter() { scanf("%d", &n); for(int i = 0; i < n; ++i) { scanf("%d%d%d", &a[i].x, &a[i].y, &a[i].z); a[i].id = i; } } void addEdge(int &nEdge) { for(int i = 1; i < n; ++i) e[nEdge++] = edge(a[i].id, a[i-1].id, a[i-1].distance(a[i])); } void solve() { int nEdge = 0; sort(a, a+n, x_cmp); addEdge(nEdge); sort(a, a+n, y_cmp); addEdge(nEdge); sort(a, a+n, z_cmp); addEdge(nEdge); sort(e, e + nEdge); initSet(n); long long res = 0; for(int cnt = 0, i = 0; cnt != n-1; ++i) if(getSet(e[i].u) != getSet(e[i].v)) res += e[i].d, p[p[e[i].u]] = p[e[i].v], ++cnt; printf("%lld\n", res); } int main() { enter(); solve(); return 0; }
Code mẫu của ladpro98
{$MODE OBJFPC} program vnempire; uses math; const maxn=100005; maxm=6*maxn; fi=''; type e=record x,y,w:longint; end; point =record v,p:longint; end; arr=array[1..maxn] of point; var x,y,z:arr; inp:text; n,m,k,res,i,xx,yy:longint; ed:array[1..maxm] of e; lab:array[1..maxn] of longint; procedure sort(var a:arr; l,r:longint); var p,i,j:longint; t:point; begin if l>=r then exit; i:=l;j:=r; p:=a[random(r-l+1)+l].v; repeat while a[i].v<p do inc(i); while a[j].v>p do dec(j); if i<=j then begin if i<j then begin t:=a[i]; a[i]:=a[j]; a[j]:=t; end; inc(i);dec(j); end; until i>j; sort(a,l,j);sort(a,i,r); end; procedure sortE(l,r:longint); var p,i,j:longint; t:e; begin if l>=r then exit; i:=l;j:=r; p:=ed[random(r-l+1)+l].w; repeat while ed[i].w<p do inc(i); while ed[j].w>p do dec(j); if i<=j then begin if i<j then begin t:=ed[i]; ed[i]:=ed[j]; ed[j]:=t; end; inc(i); dec(j); end; until i>j; sortE(l,j);sortE(i,r); end; function root(u:longint):longint; begin if lab[u]<=0 then exit(u); result:=root(lab[u]); lab[u]:=result; end; procedure union(u,v:longint); begin if lab[u]<lab[v] then lab[v]:=u else begin if lab[u]=lab[v] then dec(lab[v]); lab[u]:=v; end; end; begin assign(inp,fi);reset(inp); readln(inp,n); for i:=1 to n do begin readln(inp,x[i].v,y[i].v,z[i].v); x[i].p:=i;y[i].p:=i;z[i].p:=i; end; sort(x,1,n);sort(y,1,n);sort(z,1,n); for i:=2 to n do begin inc(m); ed[m].x:=x[i].p;ed[m].y:=x[i-1].p;ed[m].w:=abs(x[i].v-x[i-1].v); inc(m); ed[m].x:=y[i].p;ed[m].y:=y[i-1].p;ed[m].w:=abs(y[i].v-y[i-1].v); inc(m); ed[m].x:=z[i].p;ed[m].y:=z[i-1].p;ed[m].w:=abs(z[i].v-z[i-1].v); end; sortE(1,m); for i:=1 to m do begin xx:=root(ed[i].x); yy:=root(ed[i].y); if xx<>yy then begin union(xx,yy); inc(res,ed[i].w); inc(k); end; if k=n-1 then break; end; write(res); end.
Code mẫu của RR
#include <iostream> #include <algorithm> #include <vector> #include <set> #define MAXN 100111 #define oo 1000111000 #define FOR(i,a,b) for(int i=(a),_b=(b); i<=_b; i++) #define FORD(i,a,b) for(int i=(a),_b=(b); i>=_b; i--) #define FORV(i,v) for(typeof(v.begin()) i=v.begin(); i!=v.end(); i++) #define P pair<int,int> #define F first #define S second #define MP make_pair #define PB push_back using namespace std; int debug=0; int n,a[MAXN][3],d[MAXN]; vector< P > ke[MAXN]; P c[MAXN]; void inp() { scanf("%d",&n); FOR(i,1,n) FOR(j,0,2) scanf("%d",&a[i][j]); } void init() { FOR(j,0,2) { FOR(i,1,n) { c[i].F=a[i][j]; c[i].S=i; } sort(c+1,c+n+1); FOR(i,1,n) { if (i>1) ke[c[i].S].PB(MP(c[i-1].S,c[i].F-c[i-1].F)); if (i<n) ke[c[i].S].PB(MP(c[i+1].S,c[i+1].F-c[i].F)); } } if (debug) FOR(i,1,n) { FORV(now,ke[i]) cout<<"("<<now->F<<","<<now->S<<") "; cout<<endl; } } set< P > s; void modify(int i) { FORV(now,ke[i]) { int j=now->F, c=now->S; if (d[j]<0) continue; if (c<d[j]) { d[j]=c; s.insert(MP(c,j)); } } } void solve() { FOR(i,1,n) d[i]=oo; modify(1); d[1]=-1; long long res=0; while (!s.empty()) { set< P >::iterator it=s.begin(); int c=it->F, j=it->S; s.erase(it); if (c!=d[j]) continue; if (d[j]<0) continue; d[j]=-1; modify(j); res+=c; } cout<<res; } int main() { inp(); init(); solve(); return 0; }
Code mẫu của hieult
#include <set> #include <map> #include <list> #include <cmath> #include <ctime> #include <deque> #include <queue> #include <stack> #include <bitset> #include <cctype> #include <cstdio> #include <string> #include <vector> #include <cassert> #include <cstdlib> #include <cstring> #include <sstream> #include <iomanip> #include <iostream> #include <algorithm> using namespace std; typedef long long ll; typedef long double ld; typedef unsigned int ui; typedef unsigned long long ull; #define Rep(i,n) for(__typeof(n) i = 0; i < (n); ++i) #define Repd(i,n) for(__typeof(n) i = (n)-1; i >= 0; --i) #define For(i,a,b) for(__typeof(b) i = (a); i <= (b); ++i) #define Ford(i,a,b) for(__typeof(a) i = (a); i >= (b); --i) #define Fit(i,v) for(__typeof((v).begin()) i = (v).begin(); i != (v).end(); ++i) #define Fitd(i,v) for(__typeof((v).rbegin()) i = (v).rbegin(); i != (v).rend(); ++i) #define mp make_pair #define pb push_back #define fi first #define se second #define sz(a) ((int)(a).size()) #define all(a) (a).begin(), (a).end() #define ms(a,x) memset(a, x, sizeof(a)) #define nl puts("") #define sp printf(" ") #define ok puts("ok") //#include <conio.h> template<class F, class T> T convert(F a, int p = -1) { stringstream ss; if (p >= 0) ss << fixed << setprecision(p); ss << a; T r; ss >> r; return r; } template<class T> void db(T a, int p = -1) { if (p >= 0) cout << fixed << setprecision(p); cout << a << " "; } template<class T> T gcd(T a, T b) { T r; while (b != 0) { r = a % b; a = b; b = r; } return a; } template<class T> T lcm(T a, T b) { return a / gcd(a, b) * b; } template<class T> T sqr(T x) { return x * x; } template<class T> T cube(T x) { return x * x * x; } template<class T> struct Triple { T x, y, z; Triple() {} Triple(T _x, T _y, T _z) : x(_x), y(_y), z(_z) {} }; template<class T> Triple<T> euclid(T a, T b) { if (b == 0) return Triple<T>(1, 0, a); Triple<T> r = euclid(b, a % b); return Triple<T>(r.y, r.x - a / b * r.y, r.z); } template<class T> int getbit(T s, int i) { return (s >> i) & 1; } template<class T> T onbit(T s, int i) { return s | (T(1) << i); } template<class T> T offbit(T s, int i) { return s & (~(T(1) << i)); } template<class T> int cntbit(T s) { return s == 0 ? 0 : cntbit(s >> 1) + (s & 1); } const int bfsz = 1 << 16; char bf[bfsz + 5]; int rsz = 0;int ptr = 0; char gc() { if (rsz <= 0) { ptr = 0; rsz = fread(bf, 1, bfsz, stdin); if (rsz <= 0) return EOF; } --rsz; return bf[ptr++]; } void ga(char &c) { c = EOF; while (!isalpha(c)) c = gc(); } int gs(char s[]) { int l = 0; char c = gc(); while (isspace(c)) c = gc(); while (c != EOF && !isspace(c)) { s[l++] = c; c = gc(); } s[l] = '\0'; return l; } template<class T> bool gi(T &v) { v = 0; char c = gc(); while (c != EOF && c != '-' && !isdigit(c)) c = gc(); if (c == EOF) return false; bool neg = c == '-'; if (neg) c = gc(); while (isdigit(c)) { v = v * 10 + c - '0'; c = gc(); } if (neg) v = -v; return true; } const double PI = 2 * acos(0); const string months[] = {"January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December"}; const int days[] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; //const int dr[] = {0, 0, -1, +1}; //const int dc[] = {-1, +1, 0, 0}; const int dr[] = {-2, -1, +1, +2, +2, +1, -1, -2}; const int dc[] = {+1, +2, +2, +1, -1, -2, -2, -1}; const int inf = (int)1e9 + 5; const ll linf = (ll)1e16 + 5; const double eps = 1e-9; const ll mod = 1000000000; typedef pair<int, int> II; using namespace std; #define maxn 300005 struct graph{ int x,y,cost; graph(){}; graph(int _x, int _y, int _cost){ x = _x; y = _y; cost = _cost; } bool operator <(graph const G) const{ return cost<G.cost; } }; graph v[maxn]; int par[maxn]; int find(int x){ if(x == par[x]) return x; return par[x] = find(par[x]); } bool Union(int a,int b){ int p = find(a); int q = find(b); if(p == q) return false; par[p] = max(p, q); par[q] = max(p, q); return true; } pair<Triple<int>, int> A[maxn]; bool comx(pair<Triple<int>, int> const &T1, pair<Triple<int>, int> const &T2){ return T1.fi.x < T2.fi.x;} bool comy(pair<Triple<int>, int> const &T1, pair<Triple<int>, int> const &T2){ return T1.fi.y < T2.fi.y;} bool comz(pair<Triple<int>, int> const &T1, pair<Triple<int>, int> const &T2){ return T1.fi.z < T2.fi.z;} int dis(pair<Triple<int>, int> const T1, pair<Triple<int>, int> const T2){ return min(abs(T1.fi.x - T2.fi.x), min( abs(T1.fi.y - T2.fi.y), abs(T1.fi.z - T2.fi.z))); } int main(){ // freopen("in.txt","r",stdin); // freopen("out.txt","w",stdout); int n; gi(n); Rep(i, n) { gi(A[i].fi.x); gi(A[i].fi.y); gi(A[i].fi.z); A[i].se = i; } sort(A, A + n, comx); int num = 0; Rep(i, n + 1) par[i] = i; Rep(i, n - 1){ v[num++] = graph(A[i].se, A[i + 1].se, dis(A[i], A[i + 1])); } sort(A, A + n, comy); Rep(i, n - 1){ v[num++] = graph(A[i].se, A[i + 1].se, dis(A[i], A[i + 1])); } sort(A, A + n, comz); Rep(i, n - 1){ v[num++] = graph(A[i].se, A[i + 1].se, dis(A[i], A[i + 1])); } sort(v, v + num); ll res = 0; Rep(i, num){ if(Union(v[i].x, v[i].y)){ res += v[i].cost; } } cout << res << endl; // getch(); }
Code mẫu của ll931110
#include <algorithm> #include <bitset> #include <cmath> #include <complex> #include <cstdio> #include <cstdlib> #include <cstring> #include <ctime> #include <cstring> #include <deque> #include <fstream> #include <iostream> #include <map> #include <queue> #include <set> #include <stack> #include <string> #include <utility> #include <vector> typedef long long ll; using namespace std; struct edge { int u,v,cost; }; int n; int x[100010],y[100010],z[100010]; int pre[100010]; int lab[100010]; vector< pair<int,int> > v; vector<edge> e; bool cmp(edge q1,edge q2) { return (q1.cost < q2.cost); }; void addedge() { sort(v.begin(),v.end()); for (int i = 1; i < v.size(); i++) { edge new_edge; new_edge.u = v[i - 1].second; new_edge.v = v[i].second; new_edge.cost = v[i].first - v[i - 1].first; e.push_back(new_edge); }; v.clear(); }; void makeset(int k) { pre[k] = k; lab[k] = 0; }; int root(int k) { if (k != pre[k]) pre[k] = root(pre[k]); return pre[k]; }; void connect(int i,int j) { int i1 = root(i),j1 = root(j); if (lab[i1] > lab[j1]) pre[j1] = i1; else pre[i1] = j1; if (lab[i1] == lab[j1]) lab[j1]++; }; int main() { // freopen("empire.in","r",stdin); // freopen("empire.ou","w",stdout); scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d %d %d", &x[i], &y[i], &z[i]); for (int i = 1; i <= n; i++) v.push_back(make_pair(x[i],i)); addedge(); for (int i = 1; i <= n; i++) v.push_back(make_pair(y[i],i)); addedge(); for (int i = 1; i <= n; i++) v.push_back(make_pair(z[i],i)); addedge(); sort(e.begin(),e.end(),cmp); for (int i = 1; i <= n; i++) makeset(i); ll ret = 0; for (int i = 0; i < e.size(); i++) if (root(e[i].u) != root(e[i].v)) { connect(e[i].u,e[i].v); ret += e[i].cost; }; cout << ret << endl; };
Code mẫu của khuc_tuan
#include <iostream> #include <cstdio> #include <vector> #include <map> #include <set> #include <queue> #include <algorithm> #include <cstring> #include <cmath> using namespace std; #define Rep(i,n) for(int i=0;i<(n);++i) #define For(i,a,b) for(int i=(a);i<=(b);++i) #define Ford(i,a,b) for(int i=(a);i>=(b);--i) #define fi first #define se second #define pb push_back #define MP make_pair int x[100010],y[100010],z[100010]; int n, ne; pair<int,int> a[100010],b[100010],c[100010]; pair<int,pair<int,int> > e[300010]; int f[100010]; int getroot(int i){ if(f[i]<0)return i;else return getroot(f[i]); } int main() { scanf("%d",&n); Rep(i,n){ scanf("%d%d%d",x+i,y+i,z+i); a[i]=make_pair(x[i],i); b[i]=make_pair(y[i],i); c[i]=make_pair(z[i],i); } sort(a,a+n); sort(b,b+n); sort(c,c+n); Rep(i,n-1)e[ne++].second=make_pair(a[i].second,a[i+1].second); Rep(i,n-1)e[ne++].second=make_pair(b[i].second,b[i+1].second); Rep(i,n-1)e[ne++].second=make_pair(c[i].second,c[i+1].second); Rep(i,ne)e[i].first=min(min(abs(x[e[i].se.fi]-x[e[i].se.se]),abs(y[e[i].se.fi]-y[e[i].se.se])),abs(z[e[i].se.fi]-z[e[i].se.se])); sort(e,e+ne); long long res=0; memset(f,-1,sizeof(f)); Rep(i,ne){ int u=getroot(e[i].se.fi); int v=getroot(e[i].se.se); if(u!=v){ res+=e[i].fi; if(f[u]<f[v])f[u]+=f[v],f[v]=u; else f[v]+=f[u],f[u]=v; } } cout<<res<<endl; return 0; }
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