线段树结点上保存一个一般的sum值，再同一时候保存一个fbsum，表示这个结点表示的一段数字若为斐波那契数时的和
当进行3操作时，仅仅用将sum = fbsum就可以
其它操作照常进行，仅仅是单点更新的时候也要先向下更新
#include <cstdio>
#include <ctime>
#include <cstdlib>
#include <cstring>
#include <queue>
#include <string>
#include <set>
#include <stack>
#include <map>
#include <cmath>
#include <vector>
#include <iostream>
#include <algorithm>
#include <bitset>
#include <fstream>
using namespace std;
//LOOP
#define FF(i, a, b) for(int i = (a); i < (b); ++i)
#define FE(i, a, b) for(int i = (a); i <= (b); ++i)
#define FED(i, b, a) for(int i = (b); i>= (a); --i)
#define REP(i, N) for(int i = 0; i < (N); ++i)
#define CLR(A,value) memset(A,value,sizeof(A))
#define FC(it, c) for(__typeof((c).begin()) it = (c).begin(); it != (c).end(); it++)
//OTHER
#define SZ(V) (int)V.size()
#define PB push_back
#define MP make_pair
#define all(x) (x).begin(),(x).end()
//INPUT
#define RI(n) scanf("%d", &n)
#define RII(n, m) scanf("%d%d", &n, &m)
#define RIII(n, m, k) scanf("%d%d%d", &n, &m, &k)
#define RIV(n, m, k, p) scanf("%d%d%d%d", &n, &m, &k, &p)
#define RV(n, m, k, p, q) scanf("%d%d%d%d%d", &n, &m, &k, &p, &q)
#define RS(s) scanf("%s", s)
//OUTPUT
#define WI(n) printf("%d
", n)
#define WS(n) printf("%s
", n)
#define sqr(x) (x) * (x)
typedef long long LL;
typedef unsigned long long ULL;
typedef vector <int> VI;
const double eps = 1e-9;
const int MOD = 1000000007;
const double PI = acos(-1.0);
//const int INF = 0x3f3f3f3f;
const int maxn = 100010;
const LL INF = 0x3f3f3f3f3f3f3f3fLL;
#define ll rt << 1
#define rr rt << 1 | 1
struct Node{
int l, r, m;
LL sum, fbsum;
bool f;
}t[maxn * 4];
LL fb[10000];
int fbcnt;
void init()
{
fb[1] = 1, fb[0] = 1;
for (int i = 2; ; i++)
{
fb[i] = fb[i - 1] + fb[i - 2];
if (fb[i] > INF)
{
fbcnt = i - 1;
return;
}
}
return;
}
void push_up(int rt)
{
t[rt].sum = t[ll].sum + t[rr].sum;
t[rt].fbsum = t[ll].fbsum + t[rr].fbsum;
t[rt].f = t[ll].f & t[rr].f;
}
LL get(LL x)
{
int pos = lower_bound(fb, fb + fbcnt, x) - fb;
if (pos && abs(fb[pos - 1] - x) <= abs(fb[pos] - x))
return fb[pos - 1];
return fb[pos];
}
void push_down(int rt)
{
if (t[rt].f)
{
t[ll].sum = t[ll].fbsum;
t[rr].sum = t[rr].fbsum;
t[rr].f = t[ll].f = 1;
t[rt].f = 0;
}
}
void build(int l, int r, int rt)
{
t[rt].l = l, t[rt].r = r, t[rt].m = (l + r) >> 1;
if (l == r)
{
t[rt].sum = 0;
t[rt].fbsum = 1;
t[rt].f = 0;
return;
}
build(l, t[rt].m, ll);
build(t[rt].m + 1, r, rr);
push_up(rt);
}
void update(int x, int add, int rt)
{
if (x == t[rt].l && t[rt].r == x)
{
t[rt].sum += add;
t[rt].fbsum = get(t[rt].sum);
t[rt].f = 0;
return;
}
push_down(rt);
if (x <= t[rt].m)
update(x, add, ll);
else
update(x, add, rr);
push_up(rt);
}
void updatefb(int l, int r, int rt)
{
if (l <= t[rt].l && r >= t[rt].r)
{
t[rt].sum = t[rt].fbsum;
t[rt].f = 1;
return;
}
push_down(rt);
if (l <= t[rt].m)
updatefb(l, r, ll);
if (r > t[rt].m)
updatefb(l, r, rr);
push_up(rt);
}
LL query(int l, int r, int rt)
{
if (l <= t[rt].l && r >= t[rt].r)
return t[rt].sum;
push_down(rt);
LL ans = 0;
if (l <= t[rt].m)
ans += query(l, r, ll);
if (r > t[rt].m)
ans += query(l, r, rr);
return ans;
}
int main()
{
init();
int n, m;
while (~RII(n, m))
{
build(1, n, 1);
int x, y, op;
while (m--)
{
RIII(op, x, y);
if (op == 1)
update(x, y, 1);
else if (op == 2)
printf("%I64d
", query(x, y, 1));
else
updatefb(x, y, 1);
}
}
return 0;
}
/*
5 4
3 1 3
2 1 3
1 3 3
2 1 3
5 2
3 1 3
2 1 2
*/