• HDOJ 4893 Wow! Such Sequence!


    题意是这样的,给定一个n个元素的数组,初始值为0,3种操作:

    1 k d将第k个数增加d;

    2 l r 询问区间l...r范围内数之和;

    3 l r 表示将区间l...r内的数变成离他最近的斐波那契数,要求尽量小。

    线段树操作题目,其中对于第三种操作用一个懒惰标记一下,表示l...r内的数是不是已经变成斐波那契数,如果是的话,求和就是其相应数的斐波那契数之和。

    代码:

      1 //Template updates date: 20140718
      2 #include <bits/stdc++.h>
      3 #define  esp 1e-6
      4 #define  inf 0x3f3f3f3f
      5 #define  pi acos(-1.0)
      6 #define  pb push_back
      7 #define  lson l, m, rt<<1
      8 #define  rson m+1, r, rt<<1|1
      9 #define  lowbit(x) (x&(-x))
     10 #define  mp(a, b) make_pair((a), (b))
     11 #define  bit(k) (1<<(k))
     12 #define  iin  freopen("pow.in", "r", stdin);
     13 #define  oout freopen("pow.out", "w", stdout);
     14 #define  in  freopen("solve_in.txt", "r", stdin);
     15 #define  out freopen("solve_out.txt", "w", stdout);
     16 #define  bug puts("********))))))");
     17 #define  Inout iin oout
     18 #define  inout in out
     19 
     20 #define  SET(a, v) memset(a, (v), sizeof(a))
     21 #define  SORT(a)   sort((a).begin(), (a).end())
     22 #define  REV(a)    reverse((a).begin(), (a).end())
     23 #define  READ(a, n) {REP(i, n) cin>>(a)[i];}
     24 #define  REP(i, n) for(int i = 0; i < (n); i++)
     25 #define  VREP(i, n, base) for(int i = (n); i >= (base); i--)
     26 #define  Rep(i, base, n) for(int i = (base); i < (n); i++)
     27 #define  REPS(s, i) for(int i = 0; (s)[i]; i++)
     28 #define  pf(x) ((x)*(x))
     29 #define  mod(n) ((n))
     30 #define  Log(a, b) (log((double)b)/log((double)a))
     31 #define Srand() srand((int)time(0))
     32 #define random(number) (rand()%number)
     33 #define random_range(a, b) (int)(((double)rand()/RAND_MAX)*(b-a) + a)
     34 
     35 using namespace std;
     36 typedef long long  LL;
     37 typedef unsigned long long ULL;
     38 typedef vector<int> VI;
     39 typedef pair<int,int> PII;
     40 typedef vector<PII> VII;
     41 typedef vector<PII, int> VIII;
     42 typedef VI:: iterator IT;
     43 typedef map<string, int> Mps;
     44 typedef map<int, int> Mpi;
     45 typedef map<int, PII> Mpii;
     46 typedef map<PII, int> Mpiii;
     47 const int maxm = 140000 + 1000;
     48 
     49 LL f[92];
     50 int n, m;
     51 LL sum[maxm<<2], sum1[maxm<<2], cover[maxm<<2];
     52 
     53 void pre() {
     54     f[0] = f[1] = 1;
     55     Rep(i, 2, 92) {
     56         f[i] = f[i-1] + f[i-2];
     57     }
     58 }
     59 void PushDown(int rt) {
     60     if(cover[rt]) {
     61         cover[rt] = 0;
     62         cover[rt<<1] = cover[rt<<1|1] = 1;
     63         sum[rt<<1] = sum1[rt<<1];
     64         sum[rt<<1|1] = sum1[rt<<1|1];
     65     }
     66 }
     67 void PushUp(int rt) {
     68     sum[rt] = sum[rt<<1]+sum[rt<<1|1];
     69     sum1[rt] = sum1[rt<<1]+sum1[rt<<1|1];
     70 }
     71 void build(int l, int r, int rt) {
     72     if(l == r) {
     73         sum[rt] = 0;
     74         sum1[rt] = 1;
     75         cover[rt] = 0;
     76         return ;
     77     }
     78     int m = (l+r)>>1;
     79     build(lson);
     80     build(rson);
     81     PushUp(rt);
     82     cover[rt] = 0;
     83 }
     84 
     85 void update(int l, int r, int rt, int k, int d) {
     86     if(l == k && r == k) {
     87         sum[rt] += d;
     88         int b = upper_bound(f+1, f+92, sum[rt]) - f;
     89         if(abs(f[b]-sum[rt]) >= abs(f[b-1]-sum[rt]))
     90             sum1[rt] = f[b-1];
     91         else
     92             sum1[rt] = f[b];
     93         return;
     94     }
     95     PushDown(rt);
     96     int m = (l+r)>>1;
     97     if(k <= m)
     98         update(lson, k, d);
     99     else update(rson, k, d);
    100     PushUp(rt);
    101 }
    102 void update1(int L, int R, int l, int r, int rt) {
    103     if(L <=l && R >= r) {
    104         cover[rt] = 1;
    105         sum[rt] = sum1[rt];
    106         return;
    107     }
    108     PushDown(rt);
    109     int m = (l+r)>>1;
    110     if(L <= m)
    111         update1(L, R, lson);
    112     if(R > m)
    113         update1(L, R, rson);
    114     PushUp(rt);
    115 }
    116 LL query(int L, int R, int l, int r, int rt) {
    117     if(L <= l && R >= r) {
    118         return sum[rt];
    119     }
    120     int m = (l+r)>>1;
    121     PushDown(rt);
    122     LL ans = 0;
    123     if(L <= m)
    124         ans += query(L, R, lson);
    125     if( R > m)
    126         ans += query(L, R, rson);
    127     return ans;
    128 }
    129 int main() {
    130 
    131     pre();
    132     while(scanf("%d%d", &n, &m) == 2) {
    133         build(1, n, 1);
    134         REP(i, m) {
    135             int u, l, r;
    136             scanf("%d%d%d", &u, &l, &r);
    137             if(u == 2) {
    138                 printf("%I64d
    ", query(l, r, 1, n, 1));
    139             } else if(u == 1) {
    140                 update(1, n, 1, l, r);
    141             } else {
    142                 update1(l, r, 1, n, 1);
    143             }
    144         }
    145     }
    146     return 0;
    147 }
    View Code
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  • 原文地址:https://www.cnblogs.com/rootial/p/3879232.html
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