Hdu5023 a segment upt mayor's performance art [Line Segment tree]

A snapshot upt mayor's performance art Time Limit: 2000/1000 MS (Java/others) memory limit: 100000/100000 K (Java/Others) Total submission (s): 507 accepted submission (s): 203

Problem descriptionupt governors always find ways to get dirty money. paint something, then encrypt the worthless painting at a high price to someone who wants to bribe him/her on an auction, this seemed a safe way for Mayor X to make money.

Because a lot of people praised Mayor X's painting (of course, X was a mayor), Mayor x believed more and more that he was a very talented painter. soon Mayor X was not satisfied with only making money. he wanted to be a famous painter. so he joined the local painting associates. other painters had to elect him as the chairman of the associates. then his painting sold at better price.

The local middle school from which Mayor x graduated, wanted to beat Mayor X's horse fart (in Chinese English, beating one's horse fart means flattering one hard ). they built a wall, and invited Mayor X to paint on it. mayor X was very happy. but he really had no idea about what to paint because he cocould only paint very abstract paintings which nobody really understand. mayor X's Secretary suggested that he cocould make this thing not only a painting, but also a performance art work.

This was the secretary's idea:

The wall was divided into N segments and the width of each segment was one Cun (Cun is a Chinese length unit ). all segments were numbered from 1 to n, from left to right. there were 30 kinds of colors Mayor x cocould use to paint the wall. they named those colors as color 1, color 2 .... color 30. the wall's original color was color 2. every time mayor x wocould paint some consecutive segments with a certain kind of color, and he did this for every times. trying to make his performance art fancy, Mayor X declared that at any moment, if someone asked how many kind of colors were there on any consecutive segments, He cocould give the number immediately without counting.

But Mayor X didn't know how to give the right answer. your friend, Mr. W was an secret officer of anti-attack uption bureau, he helped Mayor X on this problem and gained his trust. do you know how mr. Q did this?
Inputthere are several test cases.

For each test case:

The first line contains two integers, N and M, meaning that the wall is divided into N segments and there are m operations (0 <n <= 1,000,000; 0 <m <= 100,000)

Then M lines follow, each representing an operation. There are two kinds of operations, as described below:

1) P A B C
A, B and C are integers. this operation means that Mayor x painted all segments from segment A to segment B with color C (0 <A <= B <= N, 0 <C <= 30 ).

2) Q A B
A and B are integers. this is a query operation. it means that someone asked that how many kinds of colors were there from segment A to segment B (0 <A <= B <= N ).

Please note that the operations are given in time sequence.

The input ends with m = 0 and n = 0.
Outputfor each query operation, print all kinds of color on the queried segments. for color 1, print 1, for color 2, print 2... etc. and this color sequence must be in ascending order.
Sample Input

5 10P 1 2 3P 2 3 4Q 2 3Q 1 3P 3 5 4P 1 2 7Q 1 3Q 3 4P 5 5 8Q 1 50 0

 
Sample output

43 44 744 7 8

 
Source2014 ACM/ICPC Asia Regional Guangzhou online
P indicates to apply the color C to the interval [a, B]. Q indicates the color of the output [a, B. Version 1: 406 MS Line Segment tree + hash

#include <stdio.h>#include <algorithm>#include <string.h>#define maxn 100010#define lson l, mid, rt << 1#define rson mid + 1, r, rt << 1 | 1using namespace std;struct Node {    int num, col[62];    bool lazy;} T[maxn << 2];int a[maxn], b[maxn], c[maxn], hash[maxn << 1];bool ans[32];char op[maxn];void pushDown(int rt) {    T[rt << 1].lazy = T[rt << 1 | 1].lazy = true;    T[rt].lazy = false;    T[rt << 1].col[0] = T[rt << 1 | 1].col[0] = T[rt].col[0];    T[rt << 1].num = T[rt << 1 | 1].num = 1;}void pushUp(int rt) {    int count = 0, i;    for(i = 0; i < T[rt << 1].num; ++i)        T[rt].col[count++] = T[rt << 1].col[i];    for(i = 0; i < T[rt << 1 | 1].num; ++i)        T[rt].col[count++] = T[rt << 1 | 1].col[i];    sort(T[rt].col, T[rt].col + count);    T[rt].num = unique(T[rt].col, T[rt].col + count) - T[rt].col;}void build(int l, int r, int rt) {    T[rt].lazy = false;    T[rt].num = 1;    T[rt].col[0] = 2;    if(l == r) return;    int mid = (l + r) >> 1;    build(lson);    build(rson);}void update(int L, int R, int val, int l, int r, int rt) {    if(L == l && R == r) {        T[rt].lazy = true;        T[rt].num = 1;        T[rt].col[0] = val;        return;    }    if(T[rt].lazy) pushDown(rt);    int mid = (l + r) >> 1;    if(R <= mid) update(L, R, val, lson);    else if(L > mid) update(L, R, val, rson);    else {        update(L, mid, val, lson);        update(mid + 1, R, val, rson);    }    pushUp(rt);}void query(int L, int R, int l, int r, int rt) {    if(L == l && R == r) {        for(int i = 0; i < T[rt].num; ++i)            ans[T[rt].col[i]] = true;        return;    }    if(T[rt].lazy) pushDown(rt);    int mid = (l + r) >> 1;    if(R <= mid) query(L, R, lson);    else if(L > mid) query(L, R, rson);    else {        query(L, mid, lson);        query(mid + 1, R, rson);    }}int main() {    //freopen("stdin.txt", "r", stdin);    int n, m, i, id, j;    char ch[2];    while(scanf("%d%d", &n, &m) != EOF && (n || m)) {        for(i = id = 0; i < m; ++i) {            scanf("%s%d%d", ch, &a[i], &b[i]);            hash[id++] = a[i];            hash[id++] = b[i];            if(ch[0] == 'P') scanf("%d", &c[i]);            op[i] = ch[0];        }        sort(hash, hash + id);        id = unique(hash, hash + id) - hash;        build(1, id, 1);        for(i = 0; i < m; ++i) {            a[i] = lower_bound(hash, hash + id, a[i]) - hash + 1;            b[i] = lower_bound(hash, hash + id, b[i]) - hash + 1;            if(op[i] == 'P') update(a[i], b[i], c[i], 1, id, 1);            else {                memset(ans, 0, sizeof(ans));                query(a[i], b[i], 1, id, 1);                for(j = 0; j <= 30; ++j)                    if(ans[j]) {                        printf("%d", j);                        break;                    }                for(++j; j <= 30; ++j)                    if(ans[j]) printf(" %d", j);                printf("\n");            }        }    }    return 0;}

Version 2: 187 MS Line Segment tree + bit operation storage information. A pretty elegant solution.

#include <stdio.h>#include <string.h>#define maxn 1000002#define lson l, mid, rt << 1#define rson mid + 1, r, rt << 1 | 1struct Node {    int col;    bool lazy;} T[maxn << 2];void pushDown(int rt) {    T[rt].lazy = false;    T[rt << 1].lazy = T[rt << 1 | 1].lazy = true;    T[rt << 1].col = T[rt << 1 | 1].col = T[rt].col;}void pushUp(int rt) {    T[rt].col = T[rt << 1].col | T[rt << 1 | 1].col;}void build(int l, int r, int rt) {    T[rt].col = 4; // 1 << 2;    T[rt].lazy = false;    if(l == r) return;    int mid = (l + r) >> 1;    build(lson);    build(rson);}void update(int L, int R, int col, int l, int r, int rt) {    if(L == l && R == r) {        T[rt].lazy = true;        T[rt].col = 1 << col;        return;    }    if(T[rt].lazy) pushDown(rt);    int mid = (l + r) >> 1;    if(R <= mid) update(L, R, col, lson);    else if(L > mid) update(L, R, col, rson);    else {        update(L, mid, col, lson);        update(mid + 1, R, col, rson);    }    pushUp(rt);}int query(int L, int R, int l, int r, int rt) {    if(L == l && R == r) {        return T[rt].col;    }    if(T[rt].lazy) pushDown(rt);    int mid = (l + r) >> 1, ans;    if(R <= mid) ans = query(L, R, lson);    else if(L > mid) ans = query(L, R, rson);    else {        ans = query(L, mid, lson) | query(mid + 1, R, rson);    }    return ans;}int main() {    //freopen("stdin.txt", "r", stdin);    int n, m, a, b, c, i, ans;    char ch[2];    while(scanf("%d%d", &n, &m) != EOF && (n || m)) {        build(1, n, 1);        while(m--) {            scanf("%s%d%d", ch, &a, &b);            if(ch[0] == 'P') {                scanf("%d", &c);                update(a, b, c, 1, n, 1);            } else {                ans = query(a, b, 1, n, 1);                for(i = 0; i <= 30; ++i)                    if((ans >> i) & 1) {                        printf("%d", i);                        break;                    }                for(++i; i <= 30; ++i)                    if((ans >> i) & 1)                        printf(" %d", i);                printf("\n");            }        }    }        return 0;}

Hdu5023 a segment upt mayor's performance art [Line Segment tree]