棰勫鐞嗭細(xì)璁綟[i]涓轟互i寮澶寸殑鏈闀夸笂鍗囧簭鍒楃殑闀垮害錛屾庝箞姹備笉鐢ㄨ浜?jiǎn)鍚у?#8230;…
鍋囪鐩墠闇瑕佹眰闀垮害涓篗鐨勩佹爣鍙峰瓧鍏稿簭鏈灝忕殑涓婂崌搴忓垪錛屾樉鐒跺叾絎竴涓厓绱燗[i]蹇呴』婊¤凍F[i]>=M錛堟敞鎰忥紝涓嶆槸絳変簬錛屾槸澶т簬絳変簬錛侊級(jí)錛屾壘鍒版弧瓚寵繖涓潯浠剁殑鏈灝忕殑i鍗沖彲銆傜劧鍚庯紝璁劇洰鍓嶅凡緇忔眰鍑轟簡(jiǎn)璇ュ簭鍒楃殑絎瑇涓厓绱犱負(fù)A[y]錛屽垯絎?x+1)涓厓绱燗[z]闇瑕佹弧瓚崇殑鏉′歡鏄疉[z]>A[y]錛屼笖F[z]=F[y]-1錛屾壘鍒版弧瓚寵繖涓潯浠剁殑鏈灝忕殑z鍗充負(fù)璇ュ簭鍒楃殑絎?x+1)涓厓绱犮傛寜鐓ц繖縐嶆柟娉曪紝鎵弿涓閬嶅氨鍙互姹傚嚭鏁翠釜搴忓垪錛屾椂闂村鏉傚害涓篛(N)銆傚鏋滄暣涓簭鍒楃殑鏈闀夸笂鍗囧簭鍒楅暱搴?lt;M錛屽垯鏃犺В銆?br />
浠ｇ爜錛?
#include <iostream>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
using namespace std;
#define re(i, n) for (int i=0; i<n; i++)
#define re1(i, n) for (int i=1; i<=n; i++)
#define re2(i, l, r) for (int i=l; i<r; i++)
#define re3(i, l, r) for (int i=l; i<=r; i++)
#define rre(i, n) for (int i=n-1; i>=0; i--)
#define rre1(i, n) for (int i=n; i>0; i--)
#define rre2(i, r, l) for (int i=r-1; i>=l; i--)
#define rre3(i, r, l) for (int i=r; i>=l; i--)
#define ll long long
const int MAXN = 10010, MAXM = 1010, INF = ~0U >> 2;
int n, m, len, A[MAXN], F[MAXN], D[MAXN], res[MAXM];
void prepare()
{
D[len = 0] = INF; int l, r, mid;
rre(i, n) if (A[i] < D[len]) D[F[i] = ++len] = A[i]; else {
l = 0; r = len;
while (l < r) {
mid = l + r + 1 >> 1;
if (A[i] < D[mid]) l = mid; else r = mid - 1;
}
F[i] = l + 1; D[l + 1] = A[i];
}
}
void solve()
{
int x, y;
re(i, n) if (F[i] >= m) {
res[0] = A[i]; if (m == 1) return; x = m - 1; y = 1;
re2(j, i+1, n) if (F[j] >= x && A[j] > res[y - 1]) {res[y++] = A[j]; if (y == m) return; else x--;}
}
}
int main()
{
scanf("%d", &n); re(i, n) scanf("%d", &A[i]);
prepare();
int m_s; scanf("%d", &m_s);
re(i, m_s) {scanf("%d", &m); if (m > len) puts("Impossible"); else {solve(); re(j, m-1) printf("%d ", res[j]); printf("%d\n", res[m - 1]);}}
return 0;
}
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
using namespace std;
#define re(i, n) for (int i=0; i<n; i++)
#define re1(i, n) for (int i=1; i<=n; i++)
#define re2(i, l, r) for (int i=l; i<r; i++)
#define re3(i, l, r) for (int i=l; i<=r; i++)
#define rre(i, n) for (int i=n-1; i>=0; i--)
#define rre1(i, n) for (int i=n; i>0; i--)
#define rre2(i, r, l) for (int i=r-1; i>=l; i--)
#define rre3(i, r, l) for (int i=r; i>=l; i--)
#define ll long long
const int MAXN = 10010, MAXM = 1010, INF = ~0U >> 2;
int n, m, len, A[MAXN], F[MAXN], D[MAXN], res[MAXM];
void prepare()
{
D[len = 0] = INF; int l, r, mid;
rre(i, n) if (A[i] < D[len]) D[F[i] = ++len] = A[i]; else {
l = 0; r = len;
while (l < r) {
mid = l + r + 1 >> 1;
if (A[i] < D[mid]) l = mid; else r = mid - 1;
}
F[i] = l + 1; D[l + 1] = A[i];
}
}
void solve()
{
int x, y;
re(i, n) if (F[i] >= m) {
res[0] = A[i]; if (m == 1) return; x = m - 1; y = 1;
re2(j, i+1, n) if (F[j] >= x && A[j] > res[y - 1]) {res[y++] = A[j]; if (y == m) return; else x--;}
}
}
int main()
{
scanf("%d", &n); re(i, n) scanf("%d", &A[i]);
prepare();
int m_s; scanf("%d", &m_s);
re(i, m_s) {scanf("%d", &m); if (m > len) puts("Impossible"); else {solve(); re(j, m-1) printf("%d ", res[j]); printf("%d\n", res[m - 1]);}}
return 0;
}
銆?銆?a title="[HAOI2006]鏁板瓧搴忓垪 " >[HAOI2006]鏁板瓧搴忓垪
棣栧厛錛岀敱浜庡簭鍒楃殑鎵鏈夊厓绱犻兘鏄暣鏁幫紝鎵浠ュ彲浠ュ皢鍘熷簭鍒楃殑鎵鏈夊厓绱犲噺鍘誨畠鐨勪笅鏍囷紝榪欐牱灝辨妸涓婂崌搴忓垪杞寲涓轟笉涓嬮檷搴忓垪浜?jiǎn)銆?br />絎竴闂殑緇撴灉鏄劇劧灝辨槸(N-鏂板簭鍒楃殑鏈闀夸笉涓嬮檷搴忓垪闀垮害)銆傚叧閿湪浜庣浜岄棶銆備互涓婣鍧囪〃紺烘柊搴忓垪銆?br />璁綟[i]涓轟互A[i]緇撳熬鐨勬渶闀夸笉涓嬮檷搴忓垪闀垮害錛堝悓鏍鳳紝姹傛硶涓嶇敤璇翠簡(jiǎn)錛夛紝G[i]涓哄湪A[i]涓嶄慨鏀圭殑鍓嶆彁涓嬪皢A[0..i]杞彉涓轟笉涓嬮檷搴忓垪鐨勬渶灝忎慨鏀歸噺銆傞鍏堟眰鍑篎[i]錛岀劧鍚庡湪姹侴[i]鏃訛紝鏋氫婦涓婁竴涓?#8220;涓嶅姩鐐?#8221;錛堝氨鏄笉淇敼鐨勫厓绱狅級(jí)A[j]錛堟樉鐒跺繀欏繪弧瓚矨[j]<=A[i]涓擣[j]=F[i]-1錛夛紝榪欐牱鏈灝忎慨鏀歸噺灝辨槸G[j]+(灝咥[j..i]杞彉涓轟笉涓嬮檷搴忓垪鐨勬渶灝忎慨鏀歸噺錛夈傚彲浠ヨ瘉鏄庯紝A[j..i]鐨勬渶浼樹慨鏀規(guī)柟妗堝繀鐒舵槸灝咥[j+1..t]鍏ㄩ儴淇敼涓篈[j]錛孉[t+1..i]鍏ㄩ儴淇敼涓篈[i]錛岃繖閲宼鏄竴涓猍j..i]鑼冨洿鐨勫箋傞棶棰樺氨鏄浣曟眰鍑烘渶浼樼殑t錛?br />涓寮濮嬶紝鍋囪t=j錛屽嵆鎶夾[j+1..i-1]鍏ㄩ儴淇敼涓篈[i]錛岃綆楀嚭淇敼閲忥紝璁句負(fù)S銆傜劧鍚庯紝鐢變簬A[j+1..i-1]涔嬮棿鐨勫厓绱犺涔堝皬浜嶢[j]錛岃涔堝ぇ浜嶢[i]錛堣繖涓槸鏄劇劧鐨勫洤錛夛紝鎴戜滑鎶婂皬浜嶢[j]鐨勫厓绱犵О涓?#8220;灝忔暟”錛屾妸澶т簬A[i]鐨勫厓绱犵О涓?#8220;澶ф暟”錛屽垯褰搕鍙杢0鏃訛紝淇敼閲忎負(fù)S-(A[i]-A[j])*(A[j+1..t0]涓殑“灝忔暟”涓暟鍑忓幓“澶ф暟”涓暟錛夈傝繖鏍鳳紝鍙渶鎵弿涓涓嬶紝姹傚嚭浣垮緱(A[j+1..t0]涓殑“灝忔暟”涓暟鍑忓幓“澶ф暟”涓暟錛夊兼渶澶х殑t0鍗沖彲銆?br />褰撶劧榪樻湁涓涓棶棰橈紝瀵逛簬鍚屼竴涓猧錛屾弧瓚?#8220;A[j]<=A[i]涓擣[j]=F[i]-1”鐨勫厓绱犱釜鏁板彲鑳芥湁寰堝錛屽鏋滀竴涓竴涓灇涓撅紝涓涓竴涓壂鎻忥紝浼?xì)寰堟參鐨勫?#8230;…瑙ｅ喅鏂規(guī)硶鏄紝姹傚嚭婊¤凍榪欎釜鏉′歡鐨刯涓渶灝忕殑涓涓紝璁句負(fù)j0錛岀劧鍚庢妸A[j0+1..i-1]涓殑鎵鏈?#8220;灝忔暟”鍜?#8220;澶ф暟”鍏ㄩ儴澶勭悊鍑烘潵錛岀劧鍚庣敤綾諱技鍓嶇紑鍜岀殑鏂規(guī)硶灝辮兘鎼炰簡(jiǎn)鍥?#8230;…褰撶劧錛屼負(fù)浜?jiǎn)鎵惧埌j0錛岄渶瑕佸緩涓涓簩鍒嗗浘錛岃竟涓?F[i], i)銆?br />鏈鍚庯紝涓轟簡(jiǎn)鏂逛究錛屽彲浠ユ妸A搴忓垪鐨勫乏杈瑰姞涓涓?INF錛屽彸杈瑰姞涓涓?INF銆傛渶鍚庢葷殑鏃墮棿澶嶆潅搴︼紝鐞嗚涓婁負(fù)O(N2)錛屼絾鐢變簬鏄殢鏈烘暟鎹紝鎵浠ヨ繙榪滆揪涓嶅埌榪欎釜綰у埆銆?br />
浠ｇ爜錛?
#include <iostream>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
using namespace std;
#define re(i, n) for (int i=0; i<n; i++)
#define re1(i, n) for (int i=1; i<=n; i++)
#define re2(i, l, r) for (int i=l; i<r; i++)
#define re3(i, l, r) for (int i=l; i<=r; i++)
#define rre(i, n) for (int i=n-1; i>=0; i--)
#define rre1(i, n) for (int i=n; i>0; i--)
#define rre2(i, r, l) for (int i=r-1; i>=l; i--)
#define rre3(i, r, l) for (int i=r; i>=l; i--)
#define ll long long
const int MAXN = 40010, INF = ~0U >> 2;
struct edge {
int a, b, pre, next;
} E[MAXN << 1];
int n, m, A[MAXN], D[MAXN], F[MAXN], W[MAXN], res1;
ll G[MAXN], res2;
void init_d()
{
re(i, n) E[i].pre = E[i].next = i; m = n;
}
void add_edge(int a, int b)
{
E[m].a = a; E[m].b = b; E[m].pre = E[a].pre; E[m].next = a; E[a].pre = m; E[E[m].pre].next = m++;
}
void init()
{
scanf("%d", &n);
A[0] = -INF; re1(i, n) {scanf("%d", &A[i]); A[i] -= i;} A[++n] = INF; n++;
}
void solve()
{
init_d(); F[0] = 0; G[0] = 0; D[0] = -INF; add_edge(0, 0); int len = 0, l, r, mid, x, maxw; ll sum, tmp;
re2(i, 1, n) {
if (A[i] >= D[len]) D[F[i] = ++len] = A[i]; else {
l = 0; r = len;
while (l < r) {
mid = l + r + 1 >> 1;
if (A[i] >= D[mid]) l = mid; else r = mid - 1;
}
D[F[i] = ++l] = A[i];
}
for (int p=E[F[i]-1].next; ; p=E[p].next) if (A[i] >= A[x = E[p].b]) break;
W[x] = 0; re2(j, x+1, i) if (A[j] < A[i]) W[j] = W[j - 1] + 1; else W[j] = W[j - 1] - 1;
sum = 0; maxw = -INF; G[i] = ~0Ull >> 2;
rre2(j, i, x) {
if (A[j] <= A[i] && F[j] == F[i] - 1) {
tmp = G[j] + sum; if (tmp < G[i]) G[i] = tmp;
tmp = G[j] + sum - (ll) (maxw - W[j]) * (A[i] - A[j]); if (tmp < G[i]) G[i] = tmp;
}
if (A[j] > A[i]) sum += A[j] - A[i]; else sum += A[i] - A[j];
if (W[j] > maxw) maxw = W[j];
}
add_edge(F[i], i);
}
res1 = n - F[n - 1] - 1; res2 = G[n - 1];
}
void pri()
{
cout << res1 << endl << res2 << endl;
}
int main()
{
init();
solve();
pri();
return 0;
}
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
using namespace std;
#define re(i, n) for (int i=0; i<n; i++)
#define re1(i, n) for (int i=1; i<=n; i++)
#define re2(i, l, r) for (int i=l; i<r; i++)
#define re3(i, l, r) for (int i=l; i<=r; i++)
#define rre(i, n) for (int i=n-1; i>=0; i--)
#define rre1(i, n) for (int i=n; i>0; i--)
#define rre2(i, r, l) for (int i=r-1; i>=l; i--)
#define rre3(i, r, l) for (int i=r; i>=l; i--)
#define ll long long
const int MAXN = 40010, INF = ~0U >> 2;
struct edge {
int a, b, pre, next;
} E[MAXN << 1];
int n, m, A[MAXN], D[MAXN], F[MAXN], W[MAXN], res1;
ll G[MAXN], res2;
void init_d()
{
re(i, n) E[i].pre = E[i].next = i; m = n;
}
void add_edge(int a, int b)
{
E[m].a = a; E[m].b = b; E[m].pre = E[a].pre; E[m].next = a; E[a].pre = m; E[E[m].pre].next = m++;
}
void init()
{
scanf("%d", &n);
A[0] = -INF; re1(i, n) {scanf("%d", &A[i]); A[i] -= i;} A[++n] = INF; n++;
}
void solve()
{
init_d(); F[0] = 0; G[0] = 0; D[0] = -INF; add_edge(0, 0); int len = 0, l, r, mid, x, maxw; ll sum, tmp;
re2(i, 1, n) {
if (A[i] >= D[len]) D[F[i] = ++len] = A[i]; else {
l = 0; r = len;
while (l < r) {
mid = l + r + 1 >> 1;
if (A[i] >= D[mid]) l = mid; else r = mid - 1;
}
D[F[i] = ++l] = A[i];
}
for (int p=E[F[i]-1].next; ; p=E[p].next) if (A[i] >= A[x = E[p].b]) break;
W[x] = 0; re2(j, x+1, i) if (A[j] < A[i]) W[j] = W[j - 1] + 1; else W[j] = W[j - 1] - 1;
sum = 0; maxw = -INF; G[i] = ~0Ull >> 2;
rre2(j, i, x) {
if (A[j] <= A[i] && F[j] == F[i] - 1) {
tmp = G[j] + sum; if (tmp < G[i]) G[i] = tmp;
tmp = G[j] + sum - (ll) (maxw - W[j]) * (A[i] - A[j]); if (tmp < G[i]) G[i] = tmp;
}
if (A[j] > A[i]) sum += A[j] - A[i]; else sum += A[i] - A[j];
if (W[j] > maxw) maxw = W[j];
}
add_edge(F[i], i);
}
res1 = n - F[n - 1] - 1; res2 = G[n - 1];
}
void pri()
{
cout << res1 << endl << res2 << endl;
}
int main()
{
init();
solve();
pri();
return 0;
}
]]>