Hướng dẫn giải của Sắp xếp
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=''; max=5050; maxc=1000000000; f:array[0..7] of longint=(1,1,2,6,24,120,720,5040); type ar=array[1..7] of longint; var a:array[1..7,1..7] of longint; d:array[1..max] of longint; dau,c:array[1..max] of byte; b,y:ar; n,x,t,min,i,j,m:longint; function conv(var b:ar):longint; var t,r,i,j:longint; begin r:=1; fillchar(c,sizeof(c),0); for i:=1 to m do begin t:=-1; for j:=1 to b[i] do if c[j]=0 then inc(t); r:=r+t*f[m-i]; c[b[i]]:=1; end; conv:=r; end; procedure reconv(var b:ar;x:longint); var t,i,j:longint; begin dec(x); fillchar(c,sizeof(c),0); for i:=1 to m-1 do begin t:=x div f[m-i]+1; x:=x mod f[m-i]; j:=0; while t>0 do begin inc(j); if c[j]=0 then dec(t); end; b[i]:=j; c[j]:=1; end; for i:=1 to m do if c[i]=0 then begin b[m]:=i; break; end; end; begin assign(input,fi); reset(input); assign(output,fo); rewrite(output); m:=0; while not eoln do begin inc(m); read(b[m]); end; x:=conv(b); for i:=1 to m do for j:=1 to m do read(a[i,j]); n:=f[m]; for i:=1 to n do d[i]:=maxc; d[x]:=0; dau[x]:=1; repeat reconv(b,x); for i:=1 to m-1 do for j:=i+1 to m do begin y:=b; y[i]:=b[j]; y[j]:=b[i]; t:=conv(y); if (dau[t]=0) and (d[x]+a[i,j]<d[t]) then d[t]:=d[x]+a[i,j]; end; min:=maxc-1; for i:=1 to n do if (dau[i]=0) and (d[i]<min) then begin min:=d[i]; t:=i; end; x:=t; dau[t]:=1; until dau[1]>0; writeln(d[1]); close(input); close(output); end.
Code mẫu của ladpro98
{$MODE OBJFPC} program v8sort; uses math; type e=record v,p:longint; end; const maxn=10; maxl=5555; oo=trunc(1e9); fi=''; var c:array[1..maxn,1..maxn] of longint; a,s,f:array[0..maxn] of longint; check:array[1..maxn] of boolean; d,h,pos:array[0..maxl] of longint; b:array[1..maxn] of e; n,dd,nh:longint; procedure input; var inp:text; i,j:longint; begin assign(inp,fi); reset(inp); while not seekeoln(inp) do begin inc(n); read(inp,b[n].v); b[n].p:=n; end; for i:=1 to n do begin for j:=1 to n do read(inp,c[i,j]); readln(inp); end; close(inp); end; procedure init; var i,j:longint; t:e; begin f[1]:=1; for i:=2 to n do f[i]:=i*f[i-1]; for i:=1 to n do for j:=i+1 to n do if b[i].v>b[j].v then begin t:=b[i]; b[i]:=b[j]; b[j]:=t; end; dd:=1; for i:=1 to n do begin s[b[i].p]:=dd; inc(dd); end; for i:=1 to f[n] do d[i]:=oo; end; function toNum:longint; var i,j,t,sum:longint; begin for i:=1 to n do check[i]:=false; sum:=0; for i:=1 to n do begin t:=0; for j:=1 to a[i]-1 do if not check[j] then inc(t); inc(sum,t*f[n-i]); check[a[i]]:=true; end; exit(sum+1); end; procedure toMask(p:longint); var i,j,t,k:longint; begin for i:=1 to n do check[i]:=false; for i:=1 to n do begin for j:=n-1 downto 0 do begin t:=0; for k:=1 to j do if not check[k] then inc(t); if (not check[j+1]) and (t*f[n-i]<p) then break; end; s[i]:=j+1; check[j+1]:=true; dec(p,t*f[n-i]); end; end; procedure update(v:longint); var p,c:longint; begin c:=pos[v]; if c=0 then begin inc(nh); c:=nh; end; repeat p:=c shr 1; if (p=0) or (d[h[p]]<=d[v]) then break; h[c]:=h[p]; pos[h[c]]:=c; c:=p; until false; h[c]:=v; pos[v]:=c; end; function extract:longint; var v,p,c:longint; begin result:=h[1]; v:=h[nh]; dec(nh); p:=1; repeat c:=p shl 1; if (c<nh) and (d[h[c+1]]<d[h[c]]) then inc(c); if (c>nh) or (d[h[c]]>=d[v]) then break; h[p]:=h[c]; pos[h[p]]:=p; p:=c; until false; h[p]:=v; pos[v]:=p; end; procedure dijkstra; var i,j,u,t,v:longint; begin a:=s; d[toNum]:=0; update(toNum); repeat u:=extract; toMask(u); for i:=1 to n-1 do for j:=i+1 to n do begin a:=s; t:=a[i]; a[i]:=a[j]; a[j]:=t; v:=toNum; if d[v]>d[u]+c[i,j] then begin d[v]:=d[u]+c[i,j]; update(v); end; end; until nh=0; end; procedure output; var i:longint; begin for i:=1 to n do a[i]:=i; write(d[toNum]); end; begin input; init; Dijkstra; output; end.
Code mẫu của RR
{$R+,Q+} const FINP=''; FOUT=''; MAXN=7; MAX=5040; oo=1000000000; type arr=array[1..MAXN] of longint; var hsize,sl,n:longint; c:array[1..MAXN,1..MAXN] of longint; hv:array[1..MAX] of arr; hpos,h,d:array[1..MAX] of longint; xet:array[1..MAXN] of longint; kq,a:arr; procedure swap(var a,b:longint); var temp:longint; begin temp:=a; a:=b; b:=temp; end; procedure inp; var f:text; i,j:longint; begin assign(f,FINP); reset(f); n:=0; while not eoln(f) do begin inc(n); read(f,a[n]); end; for i:=1 to n do for j:=1 to n do read(f,c[i,j]); close(f); end; procedure ans; var f:text; begin assign(f,FOUT); rewrite(f); writeln(f,d[1]); close(f); end; procedure luu; begin inc(sl); hv[sl]:=kq; end; procedure try(i:longint); var j:longint; begin for j:=1 to n do if xet[j]=0 then begin xet[j]:=1; kq[i]:=j; if i<n then try(i+1) else luu; xet[j]:=0; end; end; operator <(a,b:arr) c:boolean; var i:longint; begin for i:=1 to n do if a[i]<b[i] then exit(true) else if a[i]>b[i] then exit(false); exit(false); end; operator =(a,b:arr) c:boolean; var i:longint; begin for i:=1 to n do if a[i]<>b[i] then exit(false); exit(true); end; function find(a:arr):longint; var l,r,mid:longint; begin l:=1; r:=sl; repeat mid:=(l+r) div 2; if hv[mid]<a then l:=mid else r:=mid; until r-1<=l; if a=hv[l] then exit(l) else exit(r); end; procedure downHeap(i:longint); var j:longint; begin j:=i shl 1; while (j<=hsize) do begin if (j<hsize) and (d[h[j+1]]<d[h[j]]) then inc(j); if d[h[j]]<d[h[i]] then begin swap(hpos[h[i]],hpos[h[j]]); swap(h[i],h[j]); end; i:=j; j:=i shl 1; end; end; procedure upHeap(i:longint); var j:longint; begin j:=i shr 1; while (i>1) and (d[h[i]]<d[h[j]]) do begin swap(hpos[h[i]],hpos[h[j]]); swap(h[i],h[j]); i:=j; j:=i shr 1; end; end; procedure push(u:longint); begin inc(hsize); h[hsize]:=u; hpos[u]:=hsize; upHeap(hsize); end; procedure pop(var u:longint); begin u:=h[1]; hpos[u]:=0; swap(h[1],h[hsize]); hpos[h[1]]:=1; dec(hsize); downHeap(1); end; procedure init; var u,i:longint; begin sl:=0; try(1); for i:=1 to sl do d[i]:=oo; u:=find(a); d[u]:=0; h[1]:=u; hpos[u]:=1; hsize:=1; end; procedure solve; var u,v,i,j:longint; x,y:arr; begin while hsize>0 do begin pop(u); if u=1 then exit; x:=hv[u]; for i:=1 to n-1 do for j:=i+1 to n do begin y:=x; swap(y[i],y[j]); v:=find(y); if d[u]+c[i,j]<d[v] then begin d[v]:=d[u]+c[i,j]; if hpos[v]=0 then push(v) else upHeap(hpos[v]); end; end; end; end; begin inp; init; solve; ans; end.
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, +1, 0, -1}; const int dc[] = {+1, 0, -1, 0}; const int inf = (int)1e9 + 5; const ll linf = (ll)1e16 + 5; const double eps = 1e-9; const ll mod = 100000007; typedef pair<int, int> II; #define maxn 505 #define maxe 1000005 int n, a[10][10], x; int f[maxe], mu7[10]; priority_queue< II > que; char s[maxn]; vector<int> st, fn; int main() { // freopen("in.txt", "r", stdin); // freopen("out.txt", "w", stdout); gets(s); istringstream iss(s); while(iss >> x){ st.pb(x); fn.pb(x); } n = sz(st); sort(all(fn)); Rep(i, n) Rep(j, n) scanf("%d", &a[i][j]); mu7[0] = 1; For(i, 1, 7) mu7[i] = 7 * mu7[i - 1]; int dau = 0, cuoi = 0; Rep(i, n) Rep(j, n){ if(st[j] < st[i]) dau += mu7[i]; if(fn[j] < fn[i]) cuoi += mu7[i]; } ms(f, 0x3f); f[dau] = 0; que.push(mp(0, dau)); int u, v, t; while(!que.empty()){ u = que.top().se; v = -que.top().fi; que.pop(); if(u == cuoi) break; if(f[u] < v) continue; vector<int> temp(n); t = u; Rep(i, n){ temp[i] = t % 7; t /= 7; } Rep(i, n) For(j, i + 1, n - 1){ t = u + (temp[j] - temp[i]) * mu7[i] + (temp[i] - temp[j]) * mu7[j]; if(f[t] > f[u] + a[i][j]){ f[t] = f[u] + a[i][j]; que.push(mp(-f[t], t)); } } } cout << f[cuoi]; }
Code mẫu của ll931110
{$MODE DELPHI} Program V8SORT; Const input = ''; output = ''; maxn = 7; maxc = 100000000; maxv = 2500000; Type arr = array[1..maxn] of integer; Var F: array[1..maxv] of integer; heap,pos: array[1..2500000] of integer; free: array[1..maxv] of boolean; c: array[1..maxn,1..maxn] of integer; n,nHeap: integer; a,k,p: arr; Procedure init; Var fi: text; i,j: integer; Begin Assign(fi, input); Reset(fi); n:= 0; While not SeekEoln(fi) do Begin inc(n); Read(fi, a[n]); End; Readln(fi); For i:= 1 to n do Begin For j:= 1 to n do read(fi, c[i,j]); Readln(fi); End; Close(fi); End; Procedure swap(var x,y: integer); Var t: integer; Begin t:= x; x:= y; y:= t; End; Procedure update(v: integer); Var parent,child: integer; Begin child:= pos[v]; If child = 0 then Begin inc(nHeap); child:= nHeap; End; parent:= child div 2; While (parent > 0) and (F[heap[parent]] > F[v]) do Begin heap[child]:= heap[parent]; pos[heap[child]]:= child; child:= parent; parent:= child div 2; End; heap[child]:= v; pos[v]:= child; End; Function pop: integer; Var r,c,v: integer; Begin pop:= heap[1]; v:= heap[nHeap]; dec(nHeap); r:= 1; While r * 2 <= nHeap do Begin c:= r * 2; If (c < nHeap) and (F[heap[c + 1]] < F[heap[c]]) then inc(c); If F[v] <= F[heap[c]] then break; heap[r]:= heap[c]; pos[heap[r]]:= r; r:= c; End; heap[r]:= v; pos[v]:= r; End; Function calc(d: arr): integer; Var i,tmp: integer; Begin tmp:= d[1]; For i:= 2 to n do tmp:= tmp * (n + 1) + d[i]; calc:= tmp; End; Procedure solve; Var fo: text; i,j,u,s,tmp,res: integer; Begin Fillchar(free, sizeof(free), true); For i:= 1 to maxv do F[i]:= maxc; Fillchar(pos, sizeof(pos), 0); nHeap:= 0; For i:= 1 to n do p[i]:= i; res:= calc(p); F[res]:= 0; update(res); free[res]:= false; For i:= 1 to n - 1 do For j:= i + 1 to n do if a[i] > a[j] then Begin swap(a[i], a[j]); swap(p[i], p[j]); End; res:= calc(p); Repeat u:= pop; If u = res then break; tmp:= u; free[u]:= false; For i:= n downto 1 do Begin k[i]:= tmp mod (n + 1); tmp:= tmp div (n + 1); End; For i:= 1 to n do For j:= 1 to n do Begin swap(k[i], k[j]); s:= calc(k); If free[s] and (F[s] > F[u] + c[i,j]) then Begin F[s]:= F[u] + c[i,j]; update(s); End; swap(k[i], k[j]); End; Until nHeap = 0; Assign(fo, output); Rewrite(fo); Writeln(fo, F[res]); Close(fo); End; Begin init; solve; End.
Code mẫu của skyvn97
#include<cstdio> #include<iostream> #include<map> #include<queue> #include<sstream> #include<string> #include<vector> #define FOR(i,a,b) for (int i=(a),_b=(b);i<=_b;i=i+1) #define REP(i,n) for (int i=0,_n=(n);i<_n;i=i+1) #define fi first #define se second using namespace std; const int INF=(int)1e9+7; typedef pair<int,vector<int> > State; map<vector<int>,int> dis; vector<int> sta; int cost[11][11]; int n; void init(void) { string inp; getline(cin,inp); stringstream ss(inp); int x; while (ss>>x) sta.push_back(x); n=sta.size(); REP(i,n) REP(j,n) cin>>cost[i][j]; } bool isEnd(const vector<int> &v) { REP(i,(int)v.size()-1) if (v[i]>v[i+1]) return (false); return (true); } int getDis(const vector<int> &v) { return (dis.find(v)==dis.end()?INF:dis[v]); } void dijkstra(void) { priority_queue<State,vector<State>,greater<State> > q; dis[sta]=0; q.push(State(0,sta)); while (!q.empty()) { int d=q.top().fi; vector<int> cur=q.top().se; q.pop(); if (d!=getDis(cur)) continue; if (isEnd(cur)) { printf("%d\n",d); return; } REP(i,n) REP(j,n) if (i<j) { swap(cur[i],cur[j]); if (getDis(cur)>d+cost[i][j]) { dis[cur]=d+cost[i][j]; q.push(State(d+cost[i][j],cur)); } swap(cur[i],cur[j]); } } } int main(void) { init(); dijkstra(); return 0; }
Code mẫu của khuc_tuan
import java.util.*; public class Main { static Map<int[], Integer> ma; public static void main(String[] args) { ma = new TreeMap<int[], Integer>(new Comparator<int[]>() { public int compare(int[] a,int[] b) { if(a.length!=b.length) return a.length-b.length; for(int i=0;i<a.length;++i) if(a[i]!=b[i]) return a[i]-b[i]; return 0; } }); int N=0; int[] a; int[][] c; Scanner sc = new Scanner(System.in); String ss = sc.nextLine(); StringTokenizer st = new StringTokenizer(ss); while(st.hasMoreTokens()) { ++N; st.nextToken(); } st = new StringTokenizer(ss); a = new int[N]; c = new int[N][N]; for(int i=0;i<N;++i) a[i] = Integer.parseInt(st.nextToken()); for(int i=0;i<N;++i) for(int j=0;j<N;++j) c[i][j] = sc.nextInt(); Queue<int[]> q = new LinkedList<int[]>(); q.add(a); ma.put( a, 0); int result = 1000000000; while(!q.isEmpty()) { int[] u = q.remove(); int step = ma.get(u); boolean ok = true; for(int i=0;i<u.length-1;++i) if(u[i]>u[i+1]) ok = false; if(ok) result = Math.min( result, step); for(int i=0;i<u.length;++i) for(int j=i+1;j<u.length;++j) { int[] v = u.clone(); int tt = v[i]; v[i] = v[j]; v[j] = tt; if(ma.containsKey(v)) { int oldStep = ma.get(v); if(oldStep>step+c[i][j]) { Integer I = step + c[i][j]; ma.put(v, I); q.add(v); } } else { ma.put(v, step + c[i][j]); q.add(v); } } } System.out.println(result); } }
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