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>
#include "peru.h"
using namespace std;
const int base = 23;
const int mod = 1e9 + 7;
const int kN = 2e6 + 5e5;
const int64_t INF = 1e18L;
int a[1 + kN], st[1 + kN], prv[1 + kN], nxt[1 + kN], dqMax[kN], dq[kN], stk[1 + kN];
int64_t dp[1 + kN];
void minSelf(int64_t &x, int64_t y) {
if (y < x) {
x = y;
}
}
int64_t cost(int index) {
return dp[prv[index]] + a[index];
}
int add(int x, int y) {
x += y;
if (x >= mod) {
x -= mod;
}
return x;
}
int mult(int x, int y) {
return (int64_t)x * y % mod;
}
int solve(int n, int k, int* v) {
for (int i = 1; i <= n; ++i) {
a[i] = v[i - 1];
}
int vf = 0;
for (int i = 1; i <= n; ++i) {
nxt[i] = n + 1;
while (vf && a[st[vf]] <= a[i]) { /// <=
nxt[st[vf]] = i;
vf -= 1;
}
prv[i] = st[vf];
st[++vf] = i;
}
int res = 0, l = 0, r = -1, lmax = 0, rmax = -1;
vf = 0;
for (int i = 1; i <= n; ++i) {
while (vf && a[stk[vf]] <= a[i]) { /// <=
vf -= 1;
}
if (nxt[i] - prv[i] >= k) {
while (l <= r && cost(i) <= cost(dq[r])) {
r -= 1;
}
dq[++r] = i;
} else if (vf == 0 || cost(i) < cost(stk[vf])) {
stk[++vf] = i;
}
while (l <= r && prv[dq[l]] <= i - k) {
l += 1;
}
while (lmax <= rmax && a[dqMax[rmax]] <= a[i]) {
rmax -= 1;
}
dqMax[++rmax] = i;
while (dqMax[lmax] <= i - k) {
lmax += 1;
}
if (i >= k) {
dp[i] = dp[i - k] + a[dqMax[lmax]];
} else {
dp[i] = a[dqMax[lmax]];
}
if (l <= r) {
minSelf(dp[i], cost(dq[l]));
}
if (vf) {
minSelf(dp[i], cost(stk[vf]));
}
res = add(mult(res, base), dp[i] % mod);
}
return res;
}
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