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 <bits/stdc++.h>
#define int long long
using namespace std;
const int MAX_N = 2e5;
const int MOD = 998244353;
struct Node {
int borders[2], dp[2][2];
Node() {
borders[0] = borders[1] = 0;
dp[0][0] = dp[0][1] = dp[1][0] = dp[1][1] = 0;
}
};
Node segm[4*MAX_N];
int a[MAX_N];
void calc(int pos, int l, int r) {
Node ret;
ret.borders[0] = segm[2*pos+1].borders[0];
ret.borders[1] = segm[2*pos+2].borders[1];
for(int l=0; l<2; ++l) for(int m=0; m<2; ++m) for(int o=0; o<2; ++o) for(int r=0; r<2; ++r) {
if(o && m) {
if((segm[2*pos+1].borders[1] < 0) == (segm[2*pos+2].borders[0] < 0)) ret.dp[l][r] = max(ret.dp[l][r], segm[2*pos+1].dp[l][m] + segm[2*pos+2].dp[o][r]);
} else ret.dp[l][r] = max(ret.dp[l][r], segm[2*pos+1].dp[l][m] + segm[2*pos+2].dp[o][r]);
}
segm[pos] = ret;
}
void update(int pos, int l, int r, int x, int val) {
if(l==r) {
segm[pos].borders[0] += val;
segm[pos].borders[1] += val;
segm[pos].dp[1][1] = abs(segm[pos].borders[0]);
return;
}
int m = (l+r)/2;
if(x <= m) update(2*pos+1, l, m, x, val);
else update(2*pos+2, m+1, r, x, val);
calc(pos, l, r);
}
void build(int pos, int l, int r) {
if(l==r) {
segm[pos].borders[0] += a[l+1] - a[l];
segm[pos].borders[1] += a[l+1] - a[l];
segm[pos].dp[1][1] = abs(segm[pos].borders[0]);
return;
}
int m = (l+r)/2;
build(2*pos+1, l, m);
build(2*pos+2, m+1, r);
calc(pos, l, r);
}
void solve() {
for(int i=0; i<4*MAX_N; ++i) {
segm[i].borders[0] = segm[i].borders[1] = 0;
for(int j=0; j<2; ++j) for(int k=0; k<2; ++k) segm[i].dp[j][k] = 0;
}
int n, q;
cin >> n >> q;
for(int i=0; i<n; ++i) {
cin >> a[i];
}
build(1, 0, n-2);
while(q--) {
int l, r, x;
cin >> l >> r >> x;
--l, --r;
if(l) update(1, 0, n-2, l-1, x);
if(r != n-1) update(1, 0, n-2, r, -x);
cout << segm[1].dp[1][1] << endl;
}
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
int t = 1;
while(t--) solve();
return 0;
}
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