This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<iostream>
#include<stdio.h>
#include<stdint.h>
#include<iomanip>
#include<algorithm>
#include<utility>
#include<vector>
#include<stack>
#include<queue>
#include<set>
#include<map>
#include<deque>
#include<math.h>
#include<assert.h>
#include<string.h>
using namespace std;
const int64_t INF = (int64_t) 1e18 + 100;
const int64_t mINF = (int64_t) 1e6 * 2 + 100;
const int64_t MOD = 1e9 + 7;
const int64_t MOD2 = 998244353;
const int nbit = 31;
const int ndig = 10;
const int nchar = 26;
const int D = 4;
int dr[D] = {-1, 0, 1, 0};
int dc[D] = {0, 1, 0, -1};
const int Dk = 8;
int drk[Dk] = {2, 2, -2, -2, 1, 1, -1, -1};
int dck[Dk] = {1, -1, 1, -1, 2, -2, 2, -2};
struct Node
{
int l; int r;
int64_t ar; int64_t ab;
int64_t lb; int64_t lr;
Node(int l_, int r_, int64_t ar_, int64_t ab_, int64_t lb_, int64_t lr_) : l(l_), r(r_), ar(ar_), ab(ab_), lb(lb_), lr(lr_) {}
};
struct Solution
{
int n;
int q;
int k;
vector<int64_t> a;
vector<int64_t> d;
vector<Node> tree;
Solution() {}
void solve()
{
cin >> n >> q;
a.resize(n, 0);
d.resize(n, 0);
for(int i = 0; i < n; i++)
{
cin >> a[i];
}
k = n;
while(__builtin_popcount(k) != 1) k++;
tree.resize(2 * k, Node(0, 0, 0, 0, 0, 0));
for(int i = 1; i < n; i++)
{
d[i] = a[i] - a[i - 1];
tree[k + i] = Node(d[i], d[i], 0, 0, 0, Abs(d[i]));
}
for(int i = k - 1; i >= 1; i--)
{
tree[i] = combine(tree[i * 2], tree[i * 2 + 1]);
}
for(int i = 0; i < q; i++)
{
int l;
int r;
int x;
cin >> l >> r >> x;
l--; r--;
if(l != 0) update(l, x);
if(r + 1 < n) update(r + 1, -x);
int64_t ans = max({tree[1].ab, tree[1].ar, tree[1].lb, tree[1].lr});
cout << ans << "\n";
}
}
void update(int i, int val)
{
tree[k + i].l += val;
tree[k + i].r += val;
tree[k + i].lr = Abs(tree[k + i].l);
for(int j = (k + i) / 2; j >= 1; j /= 2)
{
tree[j] = combine(tree[j * 2], tree[j * 2 + 1]);
}
}
Node combine(Node& left, Node& right)
{
Node now(left.l, right.r, 0, 0, 0, 0);
if(1LL * left.r * right.l >= 0)
{
now.lr = left.lr + right.lr;
now.ar = left.ar + right.lr;
now.lb = left.lr + right.lb;
now.ab = left.ar + right.lb;
}
else
{
now.lr = max(left.lr + right.ar, left.lb + right.lr);
now.ar = max(left.ar + right.ar, left.ab + right.lr);
now.lb = max(left.lr + right.ab, left.lb + right.lb);
now.ab = max(left.ar + right.ab, left.ab + right.lb);
}
return now;
}
void modadd(int& t1, int t2)
{
t1 += t2;
if(t1 >= MOD) t1-= MOD;
return;
}
void modsub(int& t1, int t2)
{
t1 -= t2;
if(t1 < 0) t1 += MOD;
return;
}
int modmul(int t1, int t2)
{
int64_t res = 1LL * t1 * t2;
return res % MOD;
}
int Abs(int tmp)
{
if(tmp < 0) return -tmp;
return tmp;
}
int MASK(int j)
{
return (1 << j);
}
int BIT(int tmp, int j)
{
int x = tmp & MASK(j);
if(x != 0) return 1;
return 0;
}
};
void __setup()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
}
int main()
{
__setup();
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
Solution().solve();
}
return 0;
}
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