#include <cstdio>
#include <cstdlib>
#include <iostream>
#include <algorithm>
#define CLOCKWISE 1
#define ANTICLOCKWISE -1
#define LEFT_CONVEX 1
#define RIGHT_CONVEX -1
#define CONSTRUCT_LAYERS 1
#define SINGLE_QUERY -1
#define MAX_N 100000
#define MAX_LAYERS 100
#define INF (~0U>>1)
using namespace std;
struct Point {
int x, y;
int layer, pos;
int idx;
};
long long cx(Point *a, Point *b, Point *c) {
return (long long) (b->x-a->x)*(c->y-a->y) - (long long) (b->y-a->y)*(c->x-a->x);
}
long long dj(Point *a, Point *b, Point *c) {
return (long long) (b->x-a->x)*(c->x-a->x) + (long long) (b->y-a->y)*(c->y-a->y);
}
struct Hull {
Point **p;
int n;
Hull (int n) {
p = (Point **) malloc(sizeof(Point *) * (n+2));
this->n = n;
}
Point *pos(int x) { while (x <= 0) x += n; while (x >= n) x -= n; return p[x]; }
};
struct Convex {
Point **p;
int h, t;
int sign;
bool refine(Point *a) { bool dom = false; while (h < t && cx(p[t-1], p[t], a) * sign >= 0) --t, dom = true; return dom; }
void push(Point *a) { refine(a); p[++t] = a; }
Point *peek() { return h == t ? NULL : p[h+1]; }
Point *pop() { return p[++h]; }
Point *top() { return p[t]; }
};
struct Opening {
Point *a, *b;
int apos, bpos;
Convex *a_con, *b_con;
};
struct Segment {
int l, r;
};
long long *v[MAX_LAYERS+10];
long long area;
int removed[MAX_N+10];
int idx[MAX_N+10];
Point *o;
Point *p[MAX_N+10], *p2[MAX_N+10], *q[MAX_N+10], *rp[MAX_N+10];
Point **point_heap;
int p_point_heap;
Hull *layer[MAX_LAYERS+10];
Opening *opening[MAX_LAYERS+10];
Opening **s_op, **t_op, **n_op;
Opening *open;
Convex *convex[MAX_LAYERS+10];
int n_convex;
Segment segment[MAX_LAYERS+10];
bool cmp_pointrp(Point *a, Point *b) {
return a->layer == b->layer ? a->pos < b->pos : a->layer < b->layer;
}
bool cmp_point2d(Point *a, Point *b) {
return a->x == b->x ? a->y < b->y : a->x < b->x;
}
bool cmp_opening(Opening *a, Opening *b) {
return a->apos < b->apos;
}
void init() {
o = new Point();
o->x = o->y = 0;
point_heap = (Point **) malloc(sizeof(Point*) * (4 * MAX_LAYERS * MAX_LAYERS));
open = new Opening();
open->apos = -INF;
open->bpos = INF;
}
void clear_for_query() {
opening[0] = open;
s_op = n_op = opening;
t_op = s_op+1;
p_point_heap = 0;
area = v[1][0];
}
Point **point_malloc(int n) {
Point **p = point_heap + (p_point_heap);
p_point_heap += n;
return p;
}
Convex *new_convex(int sign, Point *a) {
Convex *con = new Convex();
con->p = point_malloc(MAX_LAYERS+2);
con->h = 1, con->t = 0;
con->sign = sign;
con->push(a);
return con;
}
Opening *new_opening(Point *a, Point *b, Point *pa, Point *pb, Convex *a_con, Convex *b_con) {
Opening *op = new Opening();
op->a = a, op->b = b;
op->apos = pa->pos, op->bpos = pb->pos;
op->a_con = a_con;
op->b_con = b_con;
if (op->apos > op->bpos)
op->bpos += layer[pa->layer]->n;
return op;
}
long long cxsum(Point *a, Point *b) {
long long *vp = v[a->layer];
return a->pos <= b->pos ? vp[b->pos]-vp[a->pos] : vp[0] - (vp[a->pos]-vp[b->pos]);
}
Point *find_tangle(Hull *hull, Point *a, int sign) {
int n = hull->n;
int bias = sign == -1;
if (n == 0)
return NULL;
if (n == 1)
return hull->p[n];
Point *b = hull->pos(sign+bias);
bool dom = cx(a, hull->pos(sign+bias), hull->pos(bias)) * sign <= 0;
int l = 2, r = n, j, an = 1;
for (; j = (l+r)>>1, l <= r; ) {
if (cx(a, b, hull->pos(sign*j+bias)) * sign <= 0) {
if (dom) r = j-1;
else l = j+1;
}
else if (cx(a, hull->pos(sign*j+bias), hull->pos(sign*(j-1)+bias)) * sign <= 0)
an = j, l = j+1;
else r = j-1;
} return hull->pos(sign*an+bias);
}
bool find_new_opening(Hull *hull, Point *a, Point *b, Convex *a_con, Convex *b_con) {
Point *s1 = a, *s2 = b;
Point *pa, *pb;
while (a->idx != b->idx) {
pa = find_tangle(hull, a, CLOCKWISE);
pb = find_tangle(hull, b, ANTICLOCKWISE);
if (a_con->peek() && (pa == NULL || cx(a, pa, a_con->peek()) >= 0)) {
area += cx(o, a, a_con->peek());
a = a_con->pop();
}
else if (b_con->peek() && (pb == NULL || cx(b, b_con->peek(), pb) >= 0)) {
area += cx(o, b_con->peek(), b);
b = b_con->pop();
}
else {
area += cx(o, a, pa) + cx(o, pb, b) + cxsum(pa, pb);
*(++n_op) = new_opening(a, b, pa, pb, a_con, b_con);
return 1;
}
}
return 0;
}
void layer_by_layer(int m, Point **rp) {
Point *a, *b, *ia, *ib, *a_del, *b_del;
Convex *a_con, *b_con;
Segment *seg_s, *seg, *seg_end;
Hull *cur, *hull;
sort(rp+1, rp+m+1, cmp_pointrp);
int s = 1, t;
int num = 0;
Point *record = NULL;
Point *pa, *pb;
for (int i = 1; i <= MAX_LAYERS; ++i, s = t) {
cur = layer[i], hull = layer[i+1];
if (num == 1) {
pa = find_tangle(cur, record, CLOCKWISE);
pb = find_tangle(cur, record, ANTICLOCKWISE);
*s_op = new_opening(record, record, pa, pb, new_convex(LEFT_CONVEX, record), new_convex(RIGHT_CONVEX, record));
area = cxsum(pa, pb) + cx(o, record, pa) + cx(o, pb, record);
}
if (s > m || rp[s]->layer != i)
break;
t = s;
while (t <= m && rp[t]->layer == rp[s]->layer)
++t;
if (t == s) {
break;
}
if (cur->n - (t-s) == 1 && num == 0) {
num = 1;
for (int j = 0; j < cur->n; ++j)
if (removed[cur->p[j]->idx] == false) {
record = cur->p[j];
break;
}
continue;
}
if (cur->n - (t-s) == 0 && num == 0) {
area = v[i+1][0];
continue;
}
if (t - s == cur->n) {
if (num == 1)
continue;
for (Opening **p_op = s_op; p_op != t_op; ++p_op) {
Opening *op = *p_op;
area -= cx(o, op->a, cur->pos(op->apos));
area -= cx(o, cur->pos(op->bpos), op->b);
area -= cxsum(cur->pos(op->apos), cur->pos(op->bpos));
find_new_opening(hull, op->a, op->b, op->a_con, op->b_con);
}
s_op = t_op;
t_op = n_op + 1;
sort(s_op, t_op, cmp_opening);
continue;
}
seg_s = seg = segment;
for (int j = s+1; j < t; ++j)
if (rp[j]->pos != rp[j-1]->pos+1) {
seg->r = rp[j-1]->pos;
(++seg)->l = rp[j]->pos;
}
if (rp[s]->pos == 1 && rp[t-1]->pos == cur->n) {
seg_s->l = seg->l - cur->n;
--seg;
}
else seg_s->l = rp[s]->pos, seg->r = rp[t-1]->pos;
int n_seg = seg-seg_s+1;
while (seg->r < 2*cur->n) {
++seg;
seg->r = (seg-n_seg)->r + cur->n;
seg->l = (seg-n_seg)->l + cur->n;
}
if (num <= 0) seg_end = seg_s + n_seg;
else seg_end = seg+1;
seg = seg_s;
for (Opening **p_op = s_op; p_op != t_op; ++p_op) {
Opening *op = *p_op;
while (seg != seg_end && seg->r < op->apos)
++seg;
while (seg != seg_end && seg->l <= op->bpos) {
ia = cur->pos(seg->l-1);
ib = cur->pos(seg->r+1);
if (seg->l <= op->apos) {
a = op->a, a_con = op->a_con;
a_del = cur->pos(op->apos);
area -= cx(o, a, a_del);
}
else {
a = ia, a_con = new_convex(LEFT_CONVEX, a);
a_del = ia;
}
if (seg->r >= op->bpos) {
b = op->b, b_con = op->b_con;
b_del = cur->pos(op->bpos);
area -= cx(o, b_del, b);
}
else {
b = ib, b_con = new_convex(RIGHT_CONVEX, b);
b_del = ib;
}
if (b == ib) {
while (a_con->h < a_con->t && cx(a, b, a_con->top()) <= 0) --a_con->t;
a_con->push(b);
}
else if (a == ia) {
while (b_con->h < b_con->t && cx(a, b, b_con->top()) <= 0) --b_con->t;
b_con->push(a);
}
if (cx(a, b, ia) > 0 && (a_con->refine(ia) || b_con->refine(ia)))
a_con->push(ia), b_con->push(ia);
if (cx(a, b, ib) > 0 && (a_con->refine(ib) || b_con->refine(ib)))
b_con->push(ib), a_con->push(ib);
area -= cxsum(a_del, b_del);
find_new_opening(hull, a, b, a_con, b_con);
if (seg->r >= op->bpos)
break;
++seg;
}
}
num += cur->n - (t-s);
s_op = t_op;
t_op = n_op + 1;
sort(s_op, t_op, cmp_opening);
}
}
void bruteforce(int n, Point **p, int &t, Point **q, int mode) {
int h;
h = 1, t = 0;
for (int i = 1; i <= n; ++i) {
if (mode == CONSTRUCT_LAYERS && p[i]->layer != 0)
continue;
if (mode == SINGLE_QUERY && removed[p[i]->idx] == true)
continue;
while (t > 1 && cx(q[t-1], q[t], p[i]) >= 0) --t;
q[++t] = p[i];
}
h = t, --t;
for (int i = n; i >= 1; --i) {
if (mode == CONSTRUCT_LAYERS && p[i]->layer != 0)
continue;
if (mode == SINGLE_QUERY && removed[p[i]->idx] == true)
continue;
while (h < t && cx(q[t-1], q[t], p[i]) >= 0) --t;
q[++t] = p[i];
}
if (t == 1) t = 2, q[t+1] = q[1];
if (t <= 0) t = 1;
}
void construct_layers(int n, Point **p, Point **q) {
int t;
sort(p+1, p+n+1, cmp_point2d);
for (int i = 1; i <= MAX_LAYERS+1; ++i) {
bruteforce(n, p, t, q, CONSTRUCT_LAYERS);
Hull *hull = new Hull(t-1);
layer[i] = hull;
if (t == 1)
break;
for (int j = 1; j < t; ++j) {
q[j]->layer = i;
q[j]->pos = j;
hull->p[j] = q[j];
}
hull->p[0] = hull->p[t-1];
hull->p[t] = hull->p[1];
long long *vp = (long long *) malloc(sizeof(long long)*(t+2));
for (int j = 1; j <= t; ++j)
vp[j] = j == 1 ? 0 : vp[j-1] + cx(o, q[j-1], q[j]);
vp[0] = vp[t];
v[i] = vp;
}
}
int main() {
init();
int n, m;
cin >> n >> m;
for (int i = 1; i <= n; ++i) {
int x, y;
Point *pt = new Point();
scanf("%d %d", &x, &y);
pt->x = x, pt->y = y;
pt->idx = i;
p[i] = p2[i] = pt;
}
construct_layers(n, p2, q);
for (int i = 1; i <= m; ++i) {
int rc = i == 1 ? (n-1) : (-area) % n;
clear_for_query();
int x, k, t = 0;
scanf("%d", &k);
for (int j = 1; j <= k; ++j) {
scanf("%d", idx+j);
idx[j] = (idx[j] + 1LL*rc) % n + 1;
if (removed[idx[j]] == true)
continue;
removed[idx[j]] = true;
if (p[idx[j]]->layer != 0)
rp[++t] = p[idx[j]];
}
layer_by_layer(t, rp);
for (int j = 1; j <= k; ++j)
removed[idx[j]] = false;
cout << -area << endl;
}
}
Compilation | N/A | N/A | Compile OK | Score: N/A | 显示更多 |
Testcase #1 | 59.76 us | 80 KB | Accepted | Score: 5 | 显示更多 |
Testcase #2 | 3.365 ms | 792 KB | Accepted | Score: 5 | 显示更多 |
Testcase #3 | 3.38 ms | 812 KB | Accepted | Score: 5 | 显示更多 |
Testcase #4 | 3.433 ms | 792 KB | Accepted | Score: 5 | 显示更多 |
Testcase #5 | 79.214 ms | 11 MB + 488 KB | Accepted | Score: 5 | 显示更多 |
Testcase #6 | 82.103 ms | 12 MB + 152 KB | Accepted | Score: 5 | 显示更多 |
Testcase #7 | 81.997 ms | 12 MB + 152 KB | Accepted | Score: 5 | 显示更多 |
Testcase #8 | 84.934 ms | 12 MB + 820 KB | Accepted | Score: 5 | 显示更多 |
Testcase #9 | 93.864 ms | 17 MB + 852 KB | Accepted | Score: 5 | 显示更多 |
Testcase #10 | 97.41 ms | 18 MB + 492 KB | Accepted | Score: 5 | 显示更多 |
Testcase #11 | 104.998 ms | 19 MB + 216 KB | Accepted | Score: 5 | 显示更多 |
Testcase #12 | 130.657 ms | 31 MB + 528 KB | Accepted | Score: 5 | 显示更多 |
Testcase #13 | 212.022 ms | 36 MB + 264 KB | Accepted | Score: 5 | 显示更多 |
Testcase #14 | 252.922 ms | 37 MB + 236 KB | Accepted | Score: 5 | 显示更多 |
Testcase #15 | 383.2 ms | 52 MB + 976 KB | Accepted | Score: 5 | 显示更多 |
Testcase #16 | 466.843 ms | 68 MB + 228 KB | Accepted | Score: 5 | 显示更多 |
Testcase #17 | 493.102 ms | 70 MB + 960 KB | Accepted | Score: 5 | 显示更多 |
Testcase #18 | 474.073 ms | 69 MB + 140 KB | Accepted | Score: 5 | 显示更多 |
Testcase #19 | 507.533 ms | 69 MB + 608 KB | Accepted | Score: 5 | 显示更多 |
Testcase #20 | 495.876 ms | 71 MB + 540 KB | Accepted | Score: 5 | 显示更多 |