Cod sursa(job #489326)

Utilizator purdea.andreiPurdea Andrei purdea.andrei Data 2 octombrie 2010 11:43:22
Problema Subsir crescator maximal Scor 100
Compilator c Status done
Runda Arhiva educationala Marime 1.78 kb
#include <stdio.h>
#include <stdlib.h>

int n;
int X[100010];
int S[100010]; /* X[S[i]] e array-ul sortat */

int sortme(const void * a, const void * b) {
    return X[*((int *)a)] - X[*((int*)b)];
}

int SS[100010]; /* SS[i] e pozitia lui X[i] in arrayul sortat */
int smallest_tail[100010];


int P[100010]; /* P[i] = elementul anterior elementului cu indicele i, pentru scrierea rezultatelor */

int A[100010]; /* arbore indexat binar, contine lungimea maxima care se poate poate atinge doar cu elemente de valoare */

int getmax(int order) { /* order can be 1 at the smallest */
    if (order==0) return 0;
    int max = A[order];
    do {
        order -= (order ^ (order - 1)) & order;
        if (order>0 && A[order]>max) max = A[order];
    } while (order>0);
    return max;
}

void add(int order, int mod) {
    while (order<=n) {
        if (A[order]<mod) A[order] = mod;
        order += (order ^ (order-1)) & order;
    }
}

void backwrite(int lp) {
    if (P[lp]!=-1)
        backwrite(P[lp]);
    printf("%d ", X[lp]);
}

int temp[100010];

int main() {
    int i;
    freopen("scmax.in", "r", stdin);
    freopen("scmax.out", "w", stdout);
    scanf("%d", &n);
    for (i=0;i<n;++i) {
        scanf("%d", &X[i]);
        smallest_tail[i] = -1;
    }
    smallest_tail[n] = -1;
    for (i=0;i<n;++i) S[i]=i;
    qsort(S, n, sizeof(int), sortme);

    for (i=0;i<n;++i) SS[S[i]] = i;
    
    for (i=0;i<n;++i) {
        int temp = SS[i] - 1;
        int l;
        while (temp>=0 && X[S[temp]]==X[i]) temp--;
        l = getmax(temp+1);
        P[i] = smallest_tail[l];
        add(SS[i]+1, l + 1);
        if (smallest_tail[l+1] == -1 || X[i]<X[smallest_tail[l+1]]) smallest_tail[l+1] = i;
    }
    printf("%d\n", getmax(n));
    backwrite(smallest_tail[getmax(n)]);
    printf("\n");
    return 0;
}