/* Question: the length of the subsegment can be increased continuously for the interval query. You can increase or decrease the interval to be quickly cut into the template question. You still need to pay attention to the interval merging during the query. My time is almost stuck, but it seems that everyone is doing the merge of Line Segment tree intervals. Why is the time difference so big .. It took a little time to explore. Conclusion: Passing parameters has a slight impact on the time. The main reason is that define's Max and min are much slower than function writing. I don't know why it is OJ */
#include <stdio.h>#include <string.h>#include <algorithm>using namespace std;#define lson l,m,rt<<1#define rson m+1,r,rt<<1|1#define ls (rt<<1)#define rs (rt<<1|1)int max(int a,int b) { return a>b?a:b; }int min(int a,int b) { return a<b?a:b; }const int MAXN = 101000;int lpa[MAXN<<2],rpa[MAXN<<2],mpa[MAXN<<2];int add[MAXN<<2];int begin[MAXN<<2],end[MAXN<<2];int L,R,d;void pushup(int len, int rt){lpa[rt] = lpa[ls];rpa[rt] = rpa[rs];if(lpa[rt] == len-(len>>1) && end[ls] < begin[rs]) lpa[rt] += lpa[rs];if(rpa[rt] == (len>>1) && end[ls] < begin[rs]) rpa[rt] += rpa[ls];mpa[rt] = (end[ls] < begin[rs])? rpa[ls]+lpa[rs] : max(rpa[ls],lpa[rs]);mpa[rt] = max(mpa[rt], max(lpa[rt],rpa[rt]));mpa[rt] = max(mpa[rt], max(mpa[ls],mpa[rs]));begin[rt] = begin[ls];end[rt] = end[rs];}void pushdown(int rt){if(add[rt] == 0) return ;add[ls] += add[rt];add[rs] += add[rt];begin[ls] += add[rt];begin[rs] += add[rt];end[ls] += add[rt];end[rs] += add[rt];add[rt] = 0;}void build(int l, int r, int rt){add[rt] = 0;if(l == r){scanf("%d", &d);begin[rt] = end[rt] = d;lpa[rt] = rpa[rt] = mpa[rt] = 1;}else{int m = (l+r)>>1;build(lson);build(rson);pushup(r-l+1,rt);}}void update(int num, int l, int r, int rt){if(L<=l && r<=R){begin[rt] += num;end[rt] += num;add[rt] += num;}else{int m = (l+r)>>1;pushdown(rt);if(L<=m) update(num,lson);if(R> m) update(num,rson);pushup(r-l+1,rt);}}int query(int l, int r, int rt){if(L<=l && r<=R){return mpa[rt];}else{int m = (l+r)>>1;pushdown(rt);int ans = 0;if(L<=m) ans = query(lson);if(R> m) ans = max(ans, query(rson));if(end[ls] < begin[rs]) ans = max(ans, min(m-L+1,rpa[ls])+min(R-m,lpa[rs]));return ans;}}int main(){int cas,ca = 0;int n,q;int x;char s[3];scanf("%d", &cas);while(cas--){printf("Case #%d:\n", ++ca);scanf("%d%d", &n, &q);build(1,n,1);while(q--){scanf("%s%d%d", s,&L,&R);if(s[0] == 'a'){scanf("%d", &x);update(x,1,n,1);}else{printf("%d\n", query(1,n,1));}}}return 0;}