#include #include void merge_sort(int n, int x[]) { static int y[200001] = {}; if (n <= 1) return; merge_sort(n / 2, &(x[0])); merge_sort((n + 1) / 2, &(x[n/2])); int i, p, q; for (i = 0, p = 0, q = n / 2; i < n; i++) { if (p >= n / 2) y[i] = x[q++]; else if (q >= n) y[i] = x[p++]; else y[i] = (x[p] < x[q])? x[p++]: x[q++]; } for (i = 0; i < n; i++) x[i] = y[i]; } typedef struct { int key, id; } data; typedef struct { data obj[400001]; int size; } max_heap; void push(max_heap* h, data x) { int i = ++(h->size), j = i >> 1; data tmp; h->obj[i] = x; while (j > 0) { if (h->obj[i].key > h->obj[j].key) { tmp = h->obj[j]; h->obj[j] = h->obj[i]; h->obj[i] = tmp; i = j; j >>= 1; } else break; } } data pop(max_heap* h) { int i = 1, j = 2; data output = h->obj[1], tmp; h->obj[1] = h->obj[(h->size)--]; while (j <= h->size) { if (j < h->size && h->obj[j^1].key > h->obj[j].key) j ^= 1; if (h->obj[j].key > h->obj[i].key) { tmp = h->obj[j]; h->obj[j] = h->obj[i]; h->obj[i] = tmp; i = j; j <<= 1; } else break; } return output; } int main() { int i, N, A[200001]; scanf("%d", &N); for (i = 0; i < N; i++) scanf("%d", &(A[i])); merge_sort(N, A); int j, k, mate[200001]; max_heap h; data d; long long ans = 0; h.size = 0; mate[0] = 0; d.key = A[0]; d.id = A[0]; push(&h, d); for (i = 1; i < N; i++) { d = pop(&h); if (A[i] >= d.key + 1) { push(&h, d); mate[i] = 0; d.key = A[i]; d.id = A[i]; if (h.size > 0 && h.obj[1].key == d.id - 1) { h.obj[1].key = d.key; } else push(&h, d); } else { for (j = i - (d.key - d.id + 1), k = 0; j < i; j++) if (mate[j] > 0) k++; if (abs(d.id - 1 - A[i]) - k < abs(d.key + 1 - A[i])) { for (j = i - (d.key - d.id + 1), k = 0; j < i; j++) mate[j]--; mate[i] = d.key - A[i]; d.id--; if (h.size > 0 && h.obj[1].key == d.id - 1) { h.obj[1].key = d.key; } else push(&h, d); } else { mate[i] = ++d.key - A[i]; push(&h, d); } } } for (i = 0; i < N; i++) ans += abs(mate[i]); printf("%lld\n", ans); fflush(stdout); return 0; }