POJ 2528 Mayor's posters

线段树，离散化；

WA了三次，前两次主要是查询时只要遇到标记了颜色就要返回，而不是标记颜色并且没记录过就返回，后一次是空间开的小，因为离散化可能使数据量增加一倍，因此空间至少要开到区间数目的 4 倍；

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2012/4/15

View Code

# include <cstdio>

# include <cstring>

# include <algorithm>



using namespace std;



# define N 10000 + 5



int n, m, li[N], ri[N];

int h[N], p[4 * N], c[4 * 4 * N];



void build(int r, int x, int y)

{

    c[r] = 0;

    if (x == y) return ;

    int mid = (x+y) >> 1, ls = r << 1, rs = r << 1 | 1;

    build(ls, x, mid);

    build(rs, mid+1, y);

}



void pushdown(int r)

{

    if (c[r]) c[r << 1] = c[r << 1 | 1] = c[r], c[r] = 0;

}



void color(int r, int x, int y, int s, int t, int val)

{

    if (s<=x && y<=t) { c[r] = val;    return ;}

    pushdown(r);

    int mid = (x+y) >> 1, ls = r << 1, rs = r << 1 | 1;

    if (s <= mid) color(ls, x, mid, s, t, val);

    if (mid+1 <= t) color(rs, mid+1, y, s, t, val);

     // update(r); // no-need

}



// query(int r, int x, int y, int s, int t, int &ans)

void query(int r, int x, int y, int &ans)

{

    if (c[r] != 0)

    {

        if (h[c[r]] == 0) {h[c[r]] = 1; ++ans;}

        return ;

    }

    if (x == y) return;

    int mid = (x+y) >> 1, ls = r << 1, rs = r << 1 | 1;

    query(ls, x, mid, ans);

    query(rs, mid+1, y, ans);

}



int Bsearch(int x, int *v, int n)

{

    int low, high, mid;



    low = 0;

    high = n - 1;

    while (low <= high)

    {

        mid = (low + high) >> 1;

        if (x < v[mid]) high = mid - 1;

        else if (x > v[mid]) low = mid + 1;

        else return mid;

    }

    return -1;

}



void init(void)

{

    int k;



    m = 0;

    scanf("%d", &n);

    for (int i = 0; i < n; ++i)

    {

        scanf("%d%d", &li[i], &ri[i]);

        p[m++] = li[i], p[m++] = ri[i];

    }

    sort(p, p+m);

    k = m, m = 1;

    for (int i = 1; i < k; ++i) if (p[i] != p[i-1])

        p[m++] = p[i];

    for (int i = m-1; i > 0; --i) if (p[i] != p[i-1]+1)

        p[m++] = p[i-1] + 1;

    sort(p, p+m);

    build(1, 1, m);

}



void solve(void)

{

    int s, t, ans;



    for (int i = 0; i < n; ++i)

    {

        s = Bsearch(li[i], p, m) + 1;

        t = Bsearch(ri[i], p, m) + 1;

        color(1, 1, m, s, t, i+1);

    }

    memset(h, 0, sizeof(h[0])*n+5);

    ans = 0;

    query(1, 1, m, ans);

    printf("%d\n", ans);

}



int main()

{

    int T;



    scanf("%d", &T);

    while (T--)

    {

        init();

        solve();

    }



    return 0;

}

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Description

The citizens of Bytetown, AB, could not stand that the candidates in the mayoral election campaign have been placing their electoral posters at all places at their whim. The city council has finally decided to build an electoral wall for placing the posters and introduce the following rules:

• Every candidate can place exactly one poster on the wall.
• All posters are of the same height equal to the height of the wall; the width of a poster can be any integer number of bytes (byte is the unit of length in Bytetown).
• The wall is divided into segments and the width of each segment is one byte.
• Each poster must completely cover a contiguous number of wall segments.

They have built a wall 10000000 bytes long (such that there is enough place for all candidates). When the electoral campaign was restarted, the candidates were placing their posters on the wall and their posters differed widely in width. Moreover, the candidates started placing their posters on wall segments already occupied by other posters. Everyone in Bytetown was curious whose posters will be visible (entirely or in part) on the last day before elections.
Your task is to find the number of visible posters when all the posters are placed given the information about posters' size, their place and order of placement on the electoral wall.

Input

The first line of input contains a number c giving the number of cases that follow. The first line of data for a single case contains number 1 <= n <= 10000. The subsequent n lines describe the posters in the order in which they were placed. The i-th line among the n lines contains two integer numbers l _i and ri which are the number of the wall segment occupied by the left end and the right end of the i-th poster, respectively. We know that for each 1 <= i <= n, 1 <= l _i <= ri <= 10000000. After the i-th poster is placed, it entirely covers all wall segments numbered l _i, l _i+1 ,... , ri.

Output

For each input data set print the number of visible posters after all the posters are placed.

The picture below illustrates the case of the sample input.

Sample Input

1

5

1 4

2 6

8 10

3 4

7 10

Sample Output

4

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# include <cstdio>

# include <cstring>

# include <algorithm>

# include <cstdlib>



# define C 12000

# define N 4 * C



using namespace std;



int n, li[C], ri[C];

int m, h[C], mir[N], c[4 * N];



int cmp(const void *x, const void *y)

{

    return (*(int*)x - *(int*)y);

}



void pushdown(int r)

{

    if (c[r])

    {

        c[r << 1] = c[r << 1 | 1] = c[r];

        c[r] = 0;

    }

}



void color(int r, int x, int y, int s, int t, int val)

{

    if (s<=x && y<=t)

    {

        c[r] = val;

        return ;

    }

    pushdown(r);

    int mid = (x+y) >> 1, ls = r << 1, rs = r << 1 | 1;

    if (s <= mid) color(ls, x, mid, s, t, val);

    if (mid+1 <= t) color(rs, mid+1, y, s, t, val);

}



void query(int r, int x, int y, int &ans)

{

    if (c[r])

    {             

        if (!h[c[r]]) ++ans;

        h[c[r]] = 1;

        return ;

    }

    if (x == y) return ;

    pushdown(r);

    int mid = (x+y) >> 1, ls = r << 1, rs = r << 1 | 1;

    query(ls, x, mid, ans);

    query(rs, mid+1, y, ans);

}



void build(int r, int x, int y)

{

    if (x == y)

    {

        c[x] = 0;

        return ;

    }

    int mid = (x+y) >> 1, ls = r << 1, rs = r << 1 | 1;

    build(ls, x, mid);

    build(rs, mid+1, y);

}



void init(void)

{

    int p = 0;

    scanf("%d", &n);

    for (int i = 1; i <=n ; ++i)

    {

        scanf("%d%d", &li[i], &ri[i]);

        mir[p++] = li[i], mir[p++] = ri[i];

    }

    sort(mir, mir+p);

    m = 1;

    for (int i = 1; i < p; ++i) if (mir[i] != mir[i-1])

        mir[m++] = mir[i];

    for(int i = m-1; i > 0; --i) if (mir[i] != mir[i-1]+1)

        mir[m++] = mir[i-1] + 1;

    sort(mir, mir+m);

    build(1, 1, m);

}



void solve(void)

{

    int s, t, ans;

    

    for (int i = 1; i <= n; ++i)

    {

        s = (int*)bsearch(li+i, mir, m, sizeof(int), cmp) - mir + 1;

        t = (int*)bsearch(ri+i, mir, m, sizeof(int), cmp) - mir + 1;

        color(1, 1, m, s, t, i);

    }

    memset(h, 0, sizeof(h));

    ans = 0;

    query(1, 1, m, ans);

    printf("%d\n", ans);

}



int main()

{

    int T;

        

    scanf("%d", &T);

    while (T--)

    {

        init();

        solve();

    }

    

    return 0;

}

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