鍒氭墠鏈矙鑼跺湪鐪嬪悗緙鏁扮粍錛堣繕鏈ㄦ湁鐪嬪畬錛夌殑鏃跺欙紝閲岄潰鐨勯偅涓熀鏁版帓搴忓啓娉曞悇縐嶇湅涓嶆噦……
鍚庢潵鍒扮綉涓婁竴鐪嬫墠鍙戠幇榪欐槸涓縐嶆瀬鍏剁鐘囩殑鍩烘暟鎺掑簭綆楁硶錛屽畠涓嶉渶瑕佷換浣曢摼寮忔垨綾婚摼寮忕粨鏋勶紝涔熶笉闇瑕佸湪姣忔鎺掑簭鍚庨兘鎶婃墍鏈夊厓绱犳寜鐓ф湰嬈℃帓搴忕殑緇撴灉閲嶆柊鎹綅緗紙鍏跺疄榪欐牱鏄浉褰撹楁椂闂寸殑錛屽挨鍏舵槸瀛楃涓叉帓搴忕殑鏃跺欙紝鍥犱負澶嶅埗涓涓瓧絎︿覆鐨勬椂闂村鏉傚害鍙栧喅浜庡畠鐨勯暱搴︼級錛屽彧闇瑕佸瓨鍌ㄦ瘡涓厓绱犲湪姣忔鎺掑簭涔嬪悗鐨?#8220;鐩稿涓嬫爣”鍗沖彲銆?br />
銆?銆戝厛鑰冭檻榪欐牱涓涓棶棰橈細瀵逛竴涓惈N涓厓绱狅紝姣忎釜鍏冪礌鍊肩殑鑼冨洿涓篬0..SZ-1]鐨勬暣鏁板簭鍒楄繘琛岃鏁版帓搴忥紙絎竴鍏抽敭瀛椾負瀛楃錛岀浜屽叧閿瓧涓轟笅鏍囷級錛屽茍涓斿湪鎺掑簭鍚庢眰鍑簅rd[0..N-1]鏁扮粍錛歰rd[i]琛ㄧず鎺掑湪絎琲浣嶇殑鍏冪礌鍦ㄦ帓搴忓墠鐨勪笅鏍囥傝姹傝繖涓畻娉曚腑涓嶈兘浣跨敤浠諱綍閾懼紡鎴栫被閾懼紡緇撴瀯錛堥摼琛ㄣ丏ancing Links銆乿ector絳夛級銆?br />
璁劇珛鏁扮粍S錛孲[i]琛ㄧず鍊間負i鐨勫厓绱犵殑涓暟銆傛眰S[i]鍙湪O(N)鏃墮棿鍐呮眰鍑猴紙涓鑸湴錛岃繕瑕佺敤O(SZ)鐨勬椂闂磋繘琛屽垵濮嬪寲錛夈傚啀璁劇珛鏁扮粍S0錛堝湪瀹炵幇鐨勬椂鍊欙紝鍙互鐩存帴鐢⊿鏉ュ瓨鍌⊿0鐨勫鹼級錛孲0[i]=∑S[0..i]錛堜篃灝辨槸鍊間笉澶т簬i鐨勫厓绱犵殑涓暟錛夛紝姹係0鍙渶瑕佸湪S鐨勫熀紜涓婄敤O(SZ)鏃墮棿鍗沖彲銆傜劧鍚庡彲浠ュ緱鍒頒竴涓噸瑕佺殑鎬ц川錛?span style="color: red">瀵逛簬浠繪剰i錛?<=i<SZ錛夛紝鍘熷簭鍒椾腑鐨勬墍鏈夊間負i鐨勫厓绱狅紝鎸夌収鍏朵笅鏍囦粠灝忓埌澶э紝鍏跺悕嬈★紙鎴栬呰鏄簭鍙鳳紝鎺掑簭鍓嶄笅鏍囦負i鐨勫厓绱犵殑鍚嶆璁頒負rank[i]錛屼笅鍚岋級渚濇涓篠0[i-1]..S0[i]-1錛坕=0鏃訛紝涓?..S0[i]-1錛岃繖閲岃涓哄悕嬈′粠0寮濮嬶級錛岃繖鏍鳳紝鍙鍦ㄦ眰鍑篠0浠ュ悗鐢∣(N)鏃墮棿鎵弿涓閬嶅師搴忓垪錛屾瘡鎵弿鍒頒竴涓間負i鐨勫厓绱狅紝绔嬪埢鍙互浠嶴0涓幏寰楀叾鍚嶆錛屽悓鏃跺皢S0[i]鐨勫煎姞1錛屾壂鎻忓畬鍚庢墍鏈夌殑鍏冪礌浠ュ悗鍗沖緱鍑轟簡rank[0..N-1]銆傜劧鍚庯紝ord涓巖ank鍏跺疄鏄簰閫嗙殑錛堝洜涓簅rd[i]=j絳変環浜巖ank[j]=i錛夛紝鍥犳姹傚嚭浜唕ank浠ュ悗鍙互鍦∣(N)鏃墮棿鍐呮眰鍑簅rd錛堝綋鐒訛紝鏍規嵁ord[rank[i]]=i榪欎竴鎬ц川錛屽彲浠ュ湪鎵弿榪囩▼涓笉姹俽ank鑰岀洿鎺ユ眰ord錛夈備笉榪囷紝鍦ㄦ壂鎻忚繖涓姝ワ紝鏇村ソ鐨勬柟娉曟槸鍊掑簭鎵弿錛岃繖鏍峰湪鎵弿鍒頒竴涓間負i鐨勫厓绱犱箣鍚庯紝鍙互涓嶅姩鐢⊿[i-1]錛堣繖涓綋i=0鏃惰繕瑕佺壒鍒わ紝姣旇緝楹葷儲錛夛紝鐩存帴璋冪敤S[i]鐨勫鹼紙褰撶劧瑕佸厛灝哠[i]鍑?錛夛紝灝辨槸璇ュ厓绱犵殑鍚嶆浜嗐?br />寰堟槑鏄撅紝璇ョ畻娉曠殑鏃墮棿澶嶆潅搴︿負O(2SZ+2N)錛堝鏋滀笉姹俽ank鐩存帴姹俹rd鐨勮瘽錛?O(N)錛屼笖鍞竴鐢ㄥ埌鐨勮緟鍔╃┖闂村氨鏄疭錛堝墠闈㈠凡緇忚榪囦簡錛岀洿鎺ュ湪S涓婂瓨鍌⊿0錛屼笉鍗曠嫭璁維0錛夛紝鏁呯┖闂村鏉傚害涔熸槸綰挎х殑錛屾病鏈夌敤鍒伴摼寮忔垨綾婚摼寮忕粨鏋勩?br />
銆?銆戠劧鍚庢潵瑙ｅ喅鍩烘暟鎺掑簭鐨勯棶棰樸傚亣璁捐繖閲屾槸瀵瑰瓧絎︿覆榪涜鍩烘暟鎺掑簭錛堟敞鎰忥紝鍚勫厓绱犵殑闀垮害鍙兘涓嶇浉絳夛紝姝ゆ椂鎺掑簭鐨勬諱綅鏁癓搴斿彇鎵鏈夊厓绱犻暱搴︾殑鏈澶у鹼紝涓旀帓搴忚繃紼嬩腑閬囧埌涓嶈凍浣嶆暟鐨勫厓绱犺鐗瑰垽錛氬璇ュ厓绱犵殑璇ヤ綅璁頒負@錛孈鏄竴涓瘮瀛楃闆嗕腑鐨勬墍鏈夊瓧絎﹂兘灝忕殑瀛楃錛屽叾鍦ㄥ瓧絎﹂泦涓悕嬈′負0錛屾墍鏈夊疄闄呭湪瀛楃闆嗕腑鐨勫厓绱犵殑鍚嶆涓?..SZ錛?span style="color: red">榪欐牱鎬葷殑瀛楃涓暟灝辨槸SZ+1錛屽湪鍐欎唬鐮佺殑鏃跺欒娉ㄦ剰錛夛紝浠庢渶鍚庝竴浣嶏紙絎琇-1浣嶏級寮濮嬩竴浣嶄竴浣嶆帓搴忥紝鐩磋嚦絎?浣嶏紝涓棿姣忔鎺掑簭鐨勮繃紼嬪疄璐ㄤ笂灝辨槸鍍忋?銆戣繖鏍風殑璁℃暟鎺掑簭銆?br />
鎸夌収鏈矙鑼朵互鍓嶇殑鏂規硶錛屾瘡榪涜涓浣嶇殑鎺掑簭鍚庡氨瑕佸皢鎵鏈夊厓绱犻噸鏂拌皟鎹綅緗紙涔熷氨鏄瀯閫犱竴涓柊鐨勫簭鍒椾唬鏇垮師鏉ョ殑搴忓垪錛屽師搴忓垪鐨勪笅鏍囦負i鐨勫厓绱犲湪鏂板簭鍒椾腑涓嬫爣涓簉ank[i]錛夛紝浣嗚繖鏍風殑鏃墮棿寮閿寰堝ぇ錛堝墠闈㈠凡緇忚榪囦簡錛夈傛洿濂界殑鏂規硶鏄湪鏁翠釜鎺掑簭榪囩▼涓紝搴忓垪鐨勫悇涓厓绱犵殑涓嬫爣閮戒笉鍙橈紝浣嗘瘡浣嶆帓搴忓悗錛屽簭鍒楁湁涓涓?#8220;鐩稿涓嬫爣”錛岀浉瀵逛笅鏍囦負i鐨勫厓绱犲氨鏄嬈℃帓搴忎腑鎺掑湪絎琲浣嶇殑鍏冪礌錛堝嵆ord[i]錛夛紝榪欐牱鍦ㄦ瘡嬈℃帓搴忔椂錛屽彧瑕佹搷綰靛悇鍏冪礌鐨勪笂涓浣嶇浉瀵逛笅鏍囧嵆鍙紙鍦ㄦ眰S鐨勬椂鍊欎笉鐢ㄧ浉瀵逛笅鏍囷紝鍥犱負S鐨勫兼槸鐢變釜鏁板喅瀹氱殑錛屼笌欏哄簭鏃犲叧錛屼絾鏄湪姹傛湰浣嶇殑ord鐨勬椂鍊欙紝鍊掑簭鎵弿搴忓垪鍏跺疄鏄掑簭鎵弿鐩稿涓嬫爣鐨勫簭鍒楋紝鍗蟲壂鎻忓埌涓嬫爣涓篿錛屽疄闄呮寚鐨勬槸鐩稿涓嬫爣涓篿錛屽嵆ord[i]錛夛紝娉ㄦ剰涓寮濮嬫墍鏈夊厓绱犵殑鐩稿涓嬫爣涓庝笅鏍囩浉絳夛紝鍗硂rd[i]=i銆傝繖鏍峰氨涓嶉渶瑕佽皟鎹綅緗簡錛屽彧闇瑕乷rd灝辮浜嗐?br />
鏈鍚庢繪椂闂村鏉傚害鏄劇劧鏄疧(NL)鐨勩?br />
浠ｇ爜錛堝浜庡瓧絎︿覆榪涜鍩烘暟鎺掑簭錛岃繖閲屽亣璁懼瓧絎︿覆鍙惈灝忓啓瀛楁瘝錛屾敞鎰忚繖閲岀殑SZ鏄?7鑰屼笉鏄?6錛屽洜涓烘湁@鐨勫瓨鍦級錛?
#include <iostream>
#include <stdio.h>
#include <string.h>
using namespace std;
#define re(i, n) for (int i=0; i<n; i++)
#define re2(i, l, r) for (int i=l; i<r; i++)
#define rre(i, n) for (int i=n-1; i>=0; i--)
const int MAXN = 100000, MAXLEN = 101, SZ = 27;
int n, L0[MAXN], ord[MAXN], tmp[MAXN], S[SZ];
char A[MAXN][MAXLEN];
void init()
{
scanf("%d", &n);
re(i, n) scanf("%s", A[i]);
}
void solve()
{
int L = 0;
re(i, n) {
L0[i] = strlen(A[i]); ord[i] = i;
if (L0[i] > L) L = L0[i];
}
rre(j, L) {
re(i, SZ) S[i] = 0;
re(i, n) S[L0[i] > j ? A[i][j] - 96 : 0]++;
re2(i, 1, SZ) S[i] += S[i - 1];
rre(i, n) tmp[--S[L0[ord[i]] > j ? A[ord[i]][j] - 96 : 0]] = ord[i];
re(i, n) ord[i] = tmp[i];
}
}
void pri()
{
re(i, n) puts(A[ord[i]]);
}
int main()
{
init();
solve();
pri();
return 0;
}
鏈鍚庯紝Orz涓涓嬭繖涓棤姣旂鐘囩殑綆楁硶錛侊紒錛?br />#include <stdio.h>
#include <string.h>
using namespace std;
#define re(i, n) for (int i=0; i<n; i++)
#define re2(i, l, r) for (int i=l; i<r; i++)
#define rre(i, n) for (int i=n-1; i>=0; i--)
const int MAXN = 100000, MAXLEN = 101, SZ = 27;
int n, L0[MAXN], ord[MAXN], tmp[MAXN], S[SZ];
char A[MAXN][MAXLEN];
void init()
{
scanf("%d", &n);
re(i, n) scanf("%s", A[i]);
}
void solve()
{
int L = 0;
re(i, n) {
L0[i] = strlen(A[i]); ord[i] = i;
if (L0[i] > L) L = L0[i];
}
rre(j, L) {
re(i, SZ) S[i] = 0;
re(i, n) S[L0[i] > j ? A[i][j] - 96 : 0]++;
re2(i, 1, SZ) S[i] += S[i - 1];
rre(i, n) tmp[--S[L0[ord[i]] > j ? A[ord[i]][j] - 96 : 0]] = ord[i];
re(i, n) ord[i] = tmp[i];
}
}
void pri()
{
re(i, n) puts(A[ord[i]]);
}
int main()
{
init();
solve();
pri();
return 0;
}
]]>