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 N 1000000
#define MD 1000003
using namespace std;
int min(int a, int b) { return a < b ? a : b; }
int max(int a, int b) { return a > b ? a : b; }
unsigned int X = 12345;
int rand_() {
return (X *= 3) >> 1;
}
int aa[N + 2];
void sort(int *ii, int l, int r) {
while (l < r) {
int i = l, j = l, k = r, i_ = ii[l + rand_() % (r - l)], tmp;
while (j < k)
if (aa[ii[j]] == aa[i_])
j++;
else if (aa[ii[j]] < aa[i_]) {
tmp = ii[i], ii[i] = ii[j], ii[j] = tmp;
i++, j++;
} else {
k--;
tmp = ii[j], ii[j] = ii[k], ii[k] = tmp;
}
sort(ii, l, i);
l = k;
}
}
int main() {
static int ii[N], pp[N + 2], qq[N + 2], bb[N + 2];
int n, h, i, p, q, al, ar, ak, as, l, r, k, ans;
cin >> n;
for (i = 1; i <= n; i++) {
cin >> aa[i];
ii[i - 1] = i;
}
sort(ii, 0, n);
for (i = 0; i <= n + 1; i++)
pp[i] = i - 1, qq[i] = i + 1;
ans = 0;
for (h = n - 1, l = n + 2, r = -1; h > 0; h--) {
i = ii[h];
l = min(l, i), r = max(r, i);
p = pp[i], q = qq[i];
qq[p] = q, pp[q] = p, bb[p] = aa[i];
k = r - l + 1 - (n - h);
if (k == 0) continue;
al = aa[ii[h - 1]], ar = aa[ii[h]];
ak = ar - al, as = (long long) ak * (al + ar - 1) / 2 % MD;
ans = (ans + ((long long) as * 3 + ak * 2) * k) % MD;
if (k == 1) ans = (ans + ((long long) bb[l - 1] + bb[pp[r + 1]]) * ak - (long long) (as + ak) * 2) % MD;
else ans = (ans + ((long long) bb[l - 1] + bb[pp[r + 1]] + aa[ii[h]]) * ak - (long long) (as + ak) * 3) % MD;
}
if (ans < 0) ans += MD;
cout << ans << '\n';
}
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