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O(M*log(N)) DP数组加线段树 32ms#include <iostream>
#include <algorithm>
using namespace std;
int N, M, R;
const int maxn = 1000007;
int ans=0;
struct segment_tree
{
struct node
{
int l, r, num;
} tr[maxn * 4];
void build(int p, int l, int r)
{
tr[p].l=l;
tr[p].r=r;
tr[p].num=0;
if (tr[p].l == tr[p].r)
{
tr[p].num = 0;
return;
}
int mid = (l + r) / 2;
build(p << 1, l, mid);
build(p << 1 | 1, mid + 1, r);
}
void modify(int p, int l, int r, int k)
{
if (tr[p].l >= l && tr[p].r <= r)
{
tr[p].num += k;
return;
}
int mid = (tr[p].l + tr[p].r) / 2;
if (l <= mid)
{
modify(p << 1, l, r, k);
}
if (r > mid)
{
modify(p << 1 | 1, l, r, k);
}
}
void query(int p, int x)
{
ans += tr[p].num;
if (tr[p].l == tr[p].r)
{
return;
}
int mid = (tr[p].l + tr[p].r) / 2;
if (x <= mid)
{
query(p << 1, x);
}
else
{
query(p << 1 | 1, x);
}
}
} ST;
struct Node
{
int start;
int end;
int value;
} node[1007];
bool compareNode(Node node1, Node node2)
{
return node1.end < node2.end;
}
int dp[1000007];
int main()
{
scanf("%d%d%d", &N, &M, &R);
for (int i = 1; i <= M; i++)
{
scanf("%d%d%d", &node[i].start, &node[i].end, &node[i].value);
}
sort(node + 1, node + 1 + M, compareNode);
ST.build(1, 1, N);
ST.modify(1, node[1].end, N, node[1].value);
for (int i = 2; i <= M; i++)
{
ans = 0;
ST.query(1, N);
int dp_N = ans;
ans = 0;
ST.query(1, node[i].start);
int dp_nodei_start = ans;
if ((node[i].start == 0 || node[i].start <= R || dp_nodei_start == 0) && node[i].value > dp_N)
{
ST.modify(1, node[i].end, N, node[i].value - dp_N);
}
else
{
ans = 0;
ST.query(1, node[i].start - R);
int dp_nodei_before_r = ans;
if (node[i].value + dp_nodei_before_r > dp_N)
{
ST.modify(1, node[i].end, N, node[i].value + dp_nodei_before_r - dp_N);
}
}
}
ans=0;
ST.query(1, N);
printf("%d\n", ans);
return 0;
}
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