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| #include <bits/stdc++.h> #include <iostream> #include <algorithm> #include <stdio.h> #include <string.h> #include <stdlib.h> using namespace std; #define LL long long #define ll long long #define ULL unsigned long long #define ls rt<<1 #define rs rt<<1|1 #define MS 500009 #define INF 1e18 #define mod 998244353 #define Pi acos(-1.0) #define Pair pair<LL,LL>
LL n,m,k; LL minf[MS<<2]; LL minse[MS<<2]; LL laminf[MS<<2]; LL laoth[MS<<2];
LL hisminf[MS<<2]; LL lahisminf[MS<<2]; LL lahisoth[MS<<2];
LL read(){ char c=getchar();ll s=0,f=1; for(;!isdigit(c);c=getchar())if(c=='-')f=-1; for(;isdigit(c);c=getchar())s=s*10+c-48; return s*f; }
void push_up(int rt){ minf[rt] = min(minf[ls],minf[rs]); hisminf[rt] = min(hisminf[ls],hisminf[rs]); if(minf[ls] == minf[rs]) minse[rt] = min(minse[ls],minse[rs]); else if(minf[ls] < minf[rs]) minse[rt] = min(minse[ls],minf[rs]); else minse[rt] = min(minf[ls],minse[rs]); }
void update(int rt,LL k1,LL k2,LL k3,LL k4){ hisminf[rt] = min(hisminf[rt],minf[rt]+k3); lahisminf[rt] = min(lahisminf[rt],laminf[rt]+k3); lahisoth[rt] = min(lahisoth[rt],laoth[rt]+k4); minf[rt] += k1; if(minse[rt] != INF) minse[rt] += k2; laminf[rt] += k1; laoth[rt] += k2; }
void push_down(int rt){ LL minn = min(minf[ls],minf[rs]); if(minf[ls] == minn) update(ls,laminf[rt],laoth[rt],lahisminf[rt],lahisoth[rt]); else update(ls,laoth[rt],laoth[rt],lahisoth[rt],lahisoth[rt]); if(minf[rs] == minn) update(rs,laminf[rt],laoth[rt],lahisminf[rt],lahisoth[rt]); else update(rs,laoth[rt],laoth[rt],lahisoth[rt],lahisoth[rt]); laminf[rt] = laoth[rt] = 0; lahisminf[rt] = lahisoth[rt] = 0; }
void build(int l,int r,int rt){ laminf[rt] = 0; laoth[rt] = 0; lahisminf[rt] = 0; lahisoth[rt] = 0; if(l == r){ LL x; x = read(); minf[rt] = x; minse[rt] = INF; hisminf[rt] = x; return; } int m = l+r>>1; build(l,m,ls); build(m+1,r,rs); push_up(rt); }
void update_add(int L,int R,int l,int r,int rt,LL val){ if(L <= l && r <= R){ update(rt,val,val,val,val); return; } push_down(rt); int m = l+r>>1; if(m >= L) update_add(L,R,l,m,ls,val); if(m < R) update_add(L,R,m+1,r,rs,val); push_up(rt); }
void update_max(int L,int R,int l,int r,int rt,LL val){ if(minf[rt] >= val) return; if(L <= l && r <= R && minse[rt] > val){ update(rt,val-minf[rt],0,val-minf[rt],0); return; } push_down(rt); int m = l+r>>1; if(m >= L) update_max(L,R,l,m,ls,val); if(m < R) update_max(L,R,m+1,r,rs,val); push_up(rt); }
LL get_min(int L,int R,int l,int r,int rt){ if(L <= l && r <= R) return minf[rt]; push_down(rt); LL ans = INF; int m = l+r>>1; if(m >= L) ans = min(ans,get_min(L,R,l,m,ls)); if(m < R) ans = min(ans,get_min(L,R,m+1,r,rs)); return ans; }
LL get_hismin(int L,int R,int l,int r,int rt){ if(L <= l && r <= R) return hisminf[rt]; push_down(rt); LL ans = INF; int m = l+r>>1; if(m >= L) ans = min(ans,get_hismin(L,R,l,m,ls)); if(m < R) ans = min(ans,get_hismin(L,R,m+1,r,rs)); return ans; }
int main() { n = read(); m = read(); build(1,n,1); while(m--){ LL op,l,r,val; op = read(); l = read() , r = read(); if(op == 1){ val = read(); update_add(l,r,1,n,1,val); } else if(op == 2){ val = read(); update_max(l,r,1,n,1,val); } else if(op == 3){ printf("%lld\n",get_min(l,r,1,n,1)); } else{ printf("%lld\n",get_hismin(l,r,1,n,1)); } }
return 0; }
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