NOI 2015 分类： noi 2015-08-06 22:22 14人阅读 评论(0) 收藏

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我只会做送分题。。。

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Day1

T1 离散化+并查集
T2 树链剖分，线段树维护区间内元素个数

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Day2
T1 Huffman树，Huffman树是严格k叉树是比较好处理的，所以加入一些权值为0的点使得 点数 mod (k - 1) = 1

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#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <ctime>
#include <string>
#include <vector>
#include <stack>
#include <queue>
#include <utility>
#include <iostream>
#include <algorithm>

const int maxn = 100005;

template<class Num>void read(Num &x)
{
    char c; int flag = 1;
    while((c = getchar()) < '0' || c > '9')
        if(c == '-') flag *= -1;
    x = c - '0';
    while((c = getchar()) >= '0' && c <= '9')
        x = (x<<3) + (x<<1) + (c-'0');
    x *= flag;
    return;
}
template<class Num>void write(Num x)
{
    if(x < 0) putchar('-'), x = -x;
    static char s[20];int sl = 0;
    while(x) s[sl++] = x%10 + '0',x /= 10;
    if(!sl) {putchar('0');return;}
    while(sl) putchar(s[--sl]);
}
struct vetor
{
#define begin() (__arr + 1)
#define end() (__arr + __len + 1)

    int *__arr, __len;

    void set(int size)
    {
        __len = 0, __arr = (int*)malloc(sizeof(int)*size);
    }
    void push_back(int x)
    {
        __arr[++__len] = x;
    }
    int size()
    {
        return __len;
    }
    void unique()
    {
        std::sort(begin(),end());
        __len = std::unique(begin(),end()) - begin();
    }
    int find(int x)
    {
        return std::lower_bound(begin(), end(), x)-begin()+1;
    }
    int get(int x)
    {
        return __arr[x];
    }
    void erase()
    {
        __len = 0;
    }
#undef begin
#undef end
}bowl;


int n, fa[maxn<<1];

int find(int x)
{
    return (x == fa[x])?x:(fa[x] = find(fa[x]));
}

struct option
{
    int i, j, e;

    void scan()
    {
        read(i), read(j), read(e);
        bowl.push_back(i);
        bowl.push_back(j);
    }
    void prework()
    {
        i = bowl.find(i);
        j = bowl.find(j);
    }
    void gather()
    {
        if(i > j) std::swap(i, j);
        fa[find(j)] = find(i);
    }
    bool check()
    {
        return find(i) == find(j);
    }
}op[maxn];

int main()
{
    int T;

    freopen("prog.in","r",stdin);
    freopen("prog.out","w",stdout);

    std::cin >> T, bowl.set(maxn<<1);

    while(T--)
    {
        bool ans = true;

        bowl.erase();

        std::cin >> n;
        for(int i = 1; i <= n; i++)
            op[i].scan();

        bowl.unique();
        for(int i = 1; i <= bowl.size(); i++)
            fa[i] = i;

        for(int i = 1; i <= n; i++)
            op[i].prework();    
        for(int i = 1; i <= n; i++)
            if(op[i].e) op[i].gather();
        for(int i = 1; i <= n; i++)
            if(!op[i].e && op[i].check())
            {
                ans = false;
                break;
            }

        if(ans) puts("YES");
        else    puts("NO");
    }

    fclose(stdin);
    fclose(stdout);
    return 0;
}

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#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <ctime>
#include <string>
#include <vector>
#include <stack>
#include <queue>
#include <utility>
#include <iostream>
#include <algorithm>

const int maxn = 100005, Nya = -1;

template<class Num>void read(Num &x)
{
    char c; int flag = 1;
    while((c = getchar()) < '0' || c > '9')
        if(c == '-') flag *= -1;
    x = c - '0';
    while((c = getchar()) >= '0' && c <= '9')
        x = (x<<3) + (x<<1) + (c-'0');
    x *= flag;
    return;
}
template<class Num>void write(Num x)
{
    if(x < 0) putchar('-'), x = -x;
    static char s[20];int sl = 0;
    while(x) s[sl++] = x%10 + '0',x /= 10;
    if(!sl) {putchar('0');return;}
    while(sl) putchar(s[--sl]);
}

int n, q;
namespace seg
{
#define L(x) ((x)<<1)
#define R(x) ((x)<<1|1)

    int tag[maxn<<2], cnt[maxn<<2];

    void set()
    {
        cnt[1] = tag[1] = 0;
    }
    int pushdown(int x,int ll,int rr)
    {
        int mid = (ll + rr) >> 1;
        if(tag[x] != Nya)
        {
            cnt[L(x)] = tag[x]*(mid - ll + 1);
            cnt[R(x)] = tag[x]*(rr - mid);
            tag[L(x)] = tag[R(x)] = tag[x];

            tag[x] = Nya;
        }
        return mid;
    }
    void update(int x)
    {
        cnt[x] = cnt[L(x)] + cnt[R(x)];
    }
    void color(int ll,int rr,int l,int r,int si,int col)
    {
        if(ll == l && rr == r)
        {
            tag[si] = col;
            cnt[si] = (rr - ll + 1)*col;
            return;
        }
        int mid = pushdown(si, ll, rr);

        if(mid < l) color(mid + 1, rr, l, r, R(si), col);
        else if(r <= mid) color(ll, mid, l, r, L(si), col);
        else
        {
            color(ll, mid, l, mid, L(si), col);
            color(mid + 1, rr, mid + 1, r, R(si), col);
        }

        update(si);
    }
    int count()
    {
        return cnt[1];
    }
#undef L
#undef R
}

namespace tree
{
    struct Edge
    {
        int v, next;
        Edge(int v = 0,int next = 0):v(v),next(next){}
    }edge[maxn];

    int el, head[maxn];
    int size[maxn], fa[maxn];
    int dfn[maxn], dl;
    int top[maxn], son[maxn];
    int fc[maxn], end[maxn];

    void NewEdge(int u,int v)
    {
        edge[++el] = Edge(v, head[u]), head[u] = el;
    }
    void init()
    {
        fa[1] = 0;
        for(int i = 2; i <= n; i++)
        {
            read(fa[i]), fa[i]++;
            NewEdge(fa[i], i);
        }
    }
    void dfs(int a)
    {
//      dep[a] = dep[fa[a]] + 1;
        size[a] = 1, son[a] = 0;

        for(int i = head[a], p; i ; i = edge[i].next)
        {
            dfs(p = edge[i].v);

            size[a] += size[p];

            if(size[p] > size[son[a]])
            son[a] = p;
        }
        return;
    }
    void build(int a)
    {
        dfn[++dl] = a, fc[a] = dl;

        if(son[fa[a]] == a)
            top[a] = top[fa[a]];
        else
            top[a] = a;

        if(son[a]) build(son[a]);

        for(int i = head[a], p; i ; i = edge[i].next)
            if((p = edge[i].v) != son[a]) build(p);

        end[a] = dl;
    }
    void prework()
    {
        dfs(1), build(1);
    }
    void install(int c)
    {
        while(c)
        {
            seg::color(1, n,fc[top[c]],fc[c], 1, 1);
            c = fa[top[c]];
        }
    }
    void uninstall(int c)
    {
        seg::color(1, n,fc[c],end[c], 1, 0);
    }
}
void Solve()
{
    int last = 0, now;
    for(int i = 1, x; i <= q; i++)
    {
        static char str[10];
        scanf("%s",str);
        read(x), x++;

        if(str[0] == 'i')
            tree::install(x);
        else
            tree::uninstall(x);

            now = seg::count();
        write(abs(now - last));
            last = now, puts("");
    }
}

int main()
{
    freopen("manager.in","r",stdin);
    freopen("manager.out","w",stdout);

    std::cin >> n;

    tree::init();

    tree::prework();

    seg::set();

    std::cin >> q, Solve();

//  std::cerr << clock()*1.0/CLOCKS_PER_SEC << std::endl;
    fclose(stdin);
    fclose(stdout);
    return 0;
}

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#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <ctime>
#include <vector>
#include <utility>
#include <stack>
#include <queue>
#include <iostream>
#include <algorithm>

template<class Num>void read(Num &x)
{
    char c; int flag = 1;
    while((c = getchar()) < '0' || c > '9')
        if(c == '-') flag *= -1;
    x = c - '0';
    while((c = getchar()) >= '0' && c <= '9')
        x = (x<<3) + (x<<1) + (c-'0');
    x *= flag;
    return;
}
template<class Num>void write(Num x)
{
    if(x < 0) putchar('-'), x = -x;
    static char s[20];int sl = 0;
    while(x) s[sl++] = x%10 + '0',x /= 10;
    if(!sl) {putchar('0');return;}
    while(sl) putchar(s[--sl]);
}

const int maxn = 1e5+15;
typedef std::pair<long long,int> heapnode;
#define Root_Min std::vector<heapnode>,std::greater<heapnode>

int n, k; long long w[maxn], total;
std::priority_queue<heapnode, Root_Min> heap;

int main()
{
    heapnode top;

    freopen("epic.in","r",stdin);
    freopen("epic.out","w",stdout);

    std::cin >> n >> k;
    for(int i = 1; i <= n; i++) read(w[i]);

    for(int i = 1; i <= n; i++)
        heap.push(std::make_pair(w[i], 0));

    while(n%(k-1) != 1%(k-1))
        heap.push(std::make_pair(w[++n], 0));

    while(heap.size() != 1)
    {
        long long cost = 0;
        int depth = 0;

        for(int i = 1; i <= k; i++)
        {
            if(heap.empty()) break;

            top = heap.top();

            cost += top.first;

            depth = std::max(depth, top.second + 1);

            heap.pop();
        }

        total += cost;
        heap.push(std::make_pair(cost, depth));
    }

    std::cout << total << std::endl;
    std::cout << heap.top().second;

    fclose(stdin);
    fclose(stdout);
    return 0;
}

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