#include <stdio.h>
#include <string.h>
#define N 1000
#define INF 1e12
#define eps 1e-9
typedef long double ld;
int sgn(long long a) { return a == 0 ? 0 : (a > 0 ? 1 : -1); }
ld min(ld a, ld b) { return a < b ? a : b; }
ld max(ld a, ld b) { return a > b ? a : b; }
ld abs_(ld a) { return a > 0 ? a : -a; }
unsigned int X = 12345;
int rand_() {
return (X *= 3) >> 1;
}
long long cross2(int x1, int y1, int x2, int y2) {
return (long long) x1 * y2 - (long long) x2 * y1;
}
ld cross2_(ld x1, ld y1, ld x2, ld y2) {
return x1 * y2 - x2 * y1;
}
long long cross(int x0, int y0, int x1, int y1, int x2, int y2) {
return cross2(x1 - x0, y1 - y0, x2 - x0, y2 - y0);
}
ld cross_(ld x0, ld y0, ld x1, ld y1, ld x2, ld y2) {
return cross2_(x1 - x0, y1 - y0, x2 - x0, y2 - y0);
}
long long dot2(int x1, int y1, int x2, int y2) {
return (long long) x1 * x2 + (long long) y1 * y2;
}
ld dot2_(ld x1, ld y1, ld x2, ld y2) {
return x1 * x2 + y1 * y2;
}
ld dot_(ld x0, ld y0, ld x1, ld y1, ld x2, ld y2) {
return dot2_(x1 - x0, y1 - y0, x2 - x0, y2 - y0);
}
int intersect_(int x1, int y1, int x2, int y2, int x3, int y3, int x4, int y4) {
return sgn(cross(x1, y1, x2, y2, x3, y3)) * sgn(cross(x1, y1, x2, y2, x4, y4)) < 0 && sgn(cross(x3, y3, x4, y4, x1, y1)) * sgn(cross(x3, y3, x4, y4, x2, y2)) < 0;
}
int xx[N], yy[N], xx_[N * 2], yy_[N * 2]; char tt[N + 1]; ld x_, y_;
int aa[N], bb[N], cc[N];
int compare_ab(int i, int j) {
int sgni, sgnj;
long long c;
sgni = aa[i] < 0 || aa[i] == 0 && bb[i] < 0 ? -1 : 1;
sgnj = aa[j] < 0 || aa[j] == 0 && bb[j] < 0 ? -1 : 1;
if (sgni != sgnj)
return sgni - sgnj;
c = cross2(aa[i], bb[i], aa[j], bb[j]);
return c == 0 ? 0 : (c < 0 ? -1 : 1);
}
int compare_xy_(int i, int j) {
int sgni, sgnj;
double c;
sgni = xx_[i] < x_ || xx_[i] == x_ && yy_[i] < y_ ? -1 : 1;
sgnj = xx_[j] < x_ || xx_[j] == x_ && yy_[j] < y_ ? -1 : 1;
if (sgni != sgnj)
return sgni - sgnj;
c = cross_(x_, y_, xx_[i], yy_[i], xx_[j], yy_[j]);
return abs_(c) < eps ? 0 : (c < 0 ? -1 : 1);
}
int compare_xy__(int i, int j) {
int c = compare_xy_(i, j);
return c != 0 ? c : (j & 1) - (i & 1);
}
int (*compare)(int, int);
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) {
int c = compare(ii[j], i_);
if (c == 0)
j++;
else if (c < 0) {
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;
}
}
void intersect(int i, int j, ld *x, ld *y) {
long long c;
c = cross2(aa[i], bb[i], aa[j], bb[j]);
*x = (ld) -cross2(cc[i], bb[i], cc[j], bb[j]) / c;
*y = (ld) -cross2(aa[i], cc[i], aa[j], cc[j]) / c;
}
int check(int i, int j, int k) {
long long cij, cjk;
ld x1, y1, x2, y2;
cij = cross2(aa[i], bb[i], aa[j], bb[j]);
cjk = cross2(aa[j], bb[j], aa[k], bb[k]);
if (cij == 0) {
if (dot2(aa[i], bb[i], aa[j], bb[j]) > 0) {
if ((aa[i] != 0 ? cross2(cc[i], aa[i], cc[j], aa[j]) * sgn(aa[i]) : cross2(cc[i], bb[i], cc[j], bb[j]) * sgn(bb[i])) > 0)
return 1;
} else {
if ((aa[i] != 0 ? cross2(cc[i], aa[i], cc[j], aa[j]) * sgn(aa[i]) : cross2(cc[i], bb[i], cc[j], bb[j]) * sgn(bb[i])) < 0)
return -1;
}
}
if (cjk == 0) {
if (dot2(aa[k], bb[k], aa[j], bb[j]) > 0) {
if ((aa[k] != 0 ? cross2(cc[k], aa[k], cc[j], aa[j]) * sgn(aa[k]) : cross2(cc[k], bb[k], cc[j], bb[j]) * sgn(bb[k])) > 0)
return 1;
} else {
if ((aa[k] != 0 ? cross2(cc[k], aa[k], cc[j], aa[j]) * sgn(aa[k]) : cross2(cc[k], bb[k], cc[j], bb[j]) * sgn(bb[k])) < 0)
return -1;
}
}
if (cij >= 0 || cjk >= 0)
return 0;
intersect(i, j, &x1, &y1), intersect(j, k, &x2, &y2);
if (cross2_(x2 - x1, y2 - y1, aa[j], bb[j]) <= 0)
return cross2(aa[k], bb[k], aa[i], bb[i]) > 0 ? 1 : -1;
return 0;
}
int iq[N + 1], pq[N], cnt;
int lt(int i, int j) {
int xi0 = xx_[i << 1 | 0], yi0 = yy_[i << 1 | 0], xi1 = xx_[i << 1 | 1], yi1 = yy_[i << 1 | 1];
int xj0 = xx_[j << 1 | 0], yj0 = yy_[j << 1 | 0], xj1 = xx_[j << 1 | 1], yj1 = yy_[j << 1 | 1];
long long c0, c1;
c0 = cross(xi0, yi0, xi1, yi1, xj0, yj0), c1 = cross(xi0, yi0, xi1, yi1, xj1, yj1);
if (sgn(c0) * sgn(c1) >= 0)
return c0 + c1 > 0;
c0 = cross(xj0, yj0, xj1, yj1, xi0, yi0), c1 = cross(xj0, yj0, xj1, yj1, xi1, yi1);
return c0 + c1 < 0;
}
int p2(int p) {
return (p *= 2) > cnt ? 0 : (p < cnt && lt(iq[p + 1], iq[p]) ? p + 1 : p);
}
void pq_up(int i) {
int p, q, j;
for (p = pq[i]; (q = p / 2) && lt(i, j = iq[q]); p = q)
iq[pq[j] = p] = j;
iq[pq[i] = p] = i;
}
void pq_dn(int i) {
int p, q, j;
for (p = pq[i]; (q = p2(p)) && lt(j = iq[q], i); p = q)
iq[pq[j] = p] = j;
iq[pq[i] = p] = i;
}
void pq_add(int i) {
pq[i] = ++cnt, pq_up(i);
}
void pq_remove(int i) {
if (pq[i]) {
int j = iq[cnt--];
if (j != i)
pq[j] = pq[i], pq_up(j), pq_dn(j);
pq[i] = 0;
}
}
int pq_first() {
return iq[1];
}
int main() {
int t;
scanf("%d", &t);
while (t--) {
static int ii[N * 2];
static char s[2];
int n, n_, head, h, i, i1, i2, j, j1, j2, k, c, tmp;
long long q;
ld t, t1, t2;
scanf("%d", &n);
for (i = 0; i < n; i++)
scanf("%d%d", &xx[i], &yy[i]);
for (i = 0; i < n; i++) {
scanf("%s", s);
tt[i] = s[0];
}
for (i = 0; i < n; i++) {
aa[i] = yy[i] - yy[(i + 1) % n];
bb[i] = xx[(i + 1) % n] - xx[i];
cc[i] = cross2(xx[i], yy[i], xx[(i + 1) % n], yy[(i + 1) % n]);
}
k = 0;
for (i = 0; i < n; i++)
if (tt[(i - 1 + n) % n] == 'C' && tt[i] == 'S')
k++;
if (k == 0) {
n_ = 0;
for (i = 0; i < n; i++)
if (tt[i] == 'S')
ii[n_++] = i;
compare = compare_ab, sort(ii, 0, n_);
head = cnt = 0;
for (h = 0; h < n_; h++) {
i = ii[h];
if (cnt && (c = check(ii[head + cnt - 1], i, ii[head]))) {
if (c == -1) {
printf("NIE\n");
goto end;
}
continue;
}
while (cnt >= 2 && (c = check(ii[head + cnt - 2], ii[head + cnt - 1], i))) {
if (c == -1) {
printf("NIE\n");
goto end;
}
cnt--;
}
while (cnt >= 2 && (c = check(i, ii[head], ii[head + 1]))) {
if (c == -1) {
printf("NIE\n");
goto end;
}
head++, cnt--;
}
ii[head + cnt++] = i;
}
printf(tt[0] == 'C' ? "NIE\n" : "TAK\n");
} else if (k == 1) {
i1 = -1, i2 = -1;
for (i = 0; i < n; i++)
if (tt[(i - 1 + n) % n] == 'S' && tt[i] == 'C')
i1 = i;
else if (tt[(i - 1 + n) % n] == 'C' && tt[i] == 'S')
i2 = i;
if ((i1 - i2 + n) % n == 1) {
printf("NIE\n");
goto end;
}
if (sgn(cross(xx[(i1 - 1 + n) % n], yy[(i1 - 1 + n) % n], xx[i1], yy[i1], xx[i2], yy[i2])) * sgn(cross(xx[i1], yy[i1], xx[i2], yy[i2], xx[(i2 + 1) % n], yy[(i2 + 1) % n])) > 0) {
printf("NIE\n");
goto end;
}
for (i = 0; i < n; i++)
if (tt[i] == 'C' && intersect_(xx[i1], yy[i1], xx[i2], yy[i2], xx[i], yy[i], xx[(i + 1) % n], yy[(i + 1) % n])) {
printf("NIE\n");
goto end;
}
if (cross(xx[i1], yy[i1], xx[i2], yy[i2], xx[(i1 + 1) % n], yy[(i1 + 1) % n]) < 0) {
printf("NIE\n");
goto end;
}
if (cross(xx[(i1 - 1 + n) % n], yy[(i1 - 1 + n) % n], xx[i1], yy[i1], xx[i2], yy[i2]) < 0)
tmp = i1, i1 = i2, i2 = tmp;
t1 = -INF, t2 = INF;
for (i = 0; i < n; i++)
if (tt[i] == 'S') {
q = cross2(xx[i2] - xx[i1], yy[i2] - yy[i1], xx[(i + 1) % n] - xx[i], yy[(i + 1) % n] - yy[i]);
if (q == 0) {
if (cross(xx[i1], yy[i1], xx[i], yy[i], xx[(i + 1) % n], yy[(i + 1) % n]) >= 0) {
printf("NIE\n");
goto end;
}
} else {
t = (ld) cross2(xx[i] - xx[i1], yy[i] - yy[i1], xx[(i + 1) % n] - xx[i], yy[(i + 1) % n] - yy[i]) / q;
if (q > 0)
t1 = max(t1, t);
else
t2 = min(t2, t);
}
}
printf(t2 - t1 > eps ? "TAK\n" : "NIE\n");
} else {
i1 = -1, j1 = -1, i2 = -1, j2 = -1;
for (i = 0; i < n; i++)
if (tt[(i - 1 + n) % n] == 'S' && tt[i] == 'C') {
j = i;
while (tt[j] == 'C')
j = (j + 1) % n;
if (i1 == -1)
i1 = i, j1 = j;
else {
i2 = i, j2 = j;
break;
}
}
q = cross2(xx[j1] - xx[i1], yy[j1] - yy[i1], xx[j2] - xx[i2], yy[j2] - yy[i2]);
if (q == 0) {
printf("NIE\n");
goto end;
}
t = (ld) cross2(xx[i2] - xx[i1], yy[i2] - yy[i1], xx[j2] - xx[i2], yy[j2] - yy[i2]) / q;
x_ = xx[i1] + (xx[j1] - xx[i1]) * t, y_ = yy[i1] + (yy[j1] - yy[i1]) * t;
i = n - 1;
while (tt[i] == 'C')
i--;
for (j = 0; j < n; j++)
if (tt[j] == 'S') {
if (abs_(cross_(x_, y_, xx[(i + 1) % n], yy[(i + 1) % n], xx[j], yy[j])) > eps || (i + 1) % n != j && dot_(x_, y_, xx[(i + 1) % n], yy[(i + 1) % n], xx[j], yy[j]) <= eps) {
printf("NIE\n");
goto end;
}
if (cross_(x_, y_, xx[j], yy[j], xx[(j + 1) % n], yy[(j + 1) % n]) >= -eps) {
printf("NIE\n");
goto end;
}
i = j;
}
n_ = 0;
for (i = 0; i < n; i++) {
double c = cross_(x_, y_, xx[i], yy[i], xx[(i + 1) % n], yy[(i + 1) % n]);
if (c < -eps) {
xx_[i << 1 | 0] = xx[i], yy_[i << 1 | 0] = yy[i];
xx_[i << 1 | 1] = xx[(i + 1) % n], yy_[i << 1 | 1] = yy[(i + 1) % n];
ii[n_++] = i << 1 | 0, ii[n_++] = i << 1 | 1;
} else if (c > eps) {
xx_[i << 1 | 0] = xx[(i + 1) % n], yy_[i << 1 | 0] = yy[(i + 1) % n];
xx_[i << 1 | 1] = xx[i], yy_[i << 1 | 1] = yy[i];
ii[n_++] = i << 1 | 0, ii[n_++] = i << 1 | 1;
} else {
if (dot_(x_, y_, xx[i], yy[i], xx[(i + 1) % n], yy[(i + 1) % n]) <= eps) {
printf("NIE\n");
goto end;
}
}
}
compare = compare_xy__, sort(ii, 0, n_);
memset(pq, 0, n * sizeof *pq), cnt = 0;
for (i = 0; i < n_; i++)
if ((ii[i] & 1) == 0)
pq_add(ii[i] >> 1);
else
pq_remove(ii[i] >> 1);
if (cnt % 2 == 0) {
printf("NIE\n");
goto end;
}
for (i = 0; i < n_; i++) {
if ((ii[i] & 1) == 0)
pq_add(ii[i] >> 1);
else
pq_remove(ii[i] >> 1);
if ((i + 1 == n_ || compare_xy_(ii[i + 1], ii[i]) != 0) && tt[pq_first()] != 'S') {
printf("NIE\n");
goto end;
}
}
printf("TAK\n");
}
end:;
}
return 0;
}
Compilation message
gob.c: In function 'compare_ab':
gob.c:60:33: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
60 | sgni = aa[i] < 0 || aa[i] == 0 && bb[i] < 0 ? -1 : 1;
| ~~~~~~~~~~~^~~~~~~~~~~~
gob.c:61:33: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
61 | sgnj = aa[j] < 0 || aa[j] == 0 && bb[j] < 0 ? -1 : 1;
| ~~~~~~~~~~~^~~~~~~~~~~~
gob.c: In function 'compare_xy_':
gob.c:72:37: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
72 | sgni = xx_[i] < x_ || xx_[i] == x_ && yy_[i] < y_ ? -1 : 1;
| ~~~~~~~~~~~~~^~~~~~~~~~~~~~
gob.c:73:37: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
73 | sgnj = xx_[j] < x_ || xx_[j] == x_ && yy_[j] < y_ ? -1 : 1;
| ~~~~~~~~~~~~~^~~~~~~~~~~~~~
gob.c: In function 'main':
gob.c:332:105: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
332 | if (abs_(cross_(x_, y_, xx[(i + 1) % n], yy[(i + 1) % n], xx[j], yy[j])) > eps || (i + 1) % n != j && dot_(x_, y_, xx[(i + 1) % n], yy[(i + 1) % n], xx[j], yy[j]) <= eps) {
| ^
gob.c:205:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
205 | scanf("%d", &t);
| ^~~~~~~~~~~~~~~
gob.c:213:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
213 | scanf("%d", &n);
| ^~~~~~~~~~~~~~~
gob.c:215:4: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
215 | scanf("%d%d", &xx[i], &yy[i]);
| ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
gob.c:217:4: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
217 | scanf("%s", s);
| ^~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
1 ms |
344 KB |
Output is correct |
| 7 |
Correct |
1 ms |
600 KB |
Output is correct |
| 8 |
Correct |
2 ms |
348 KB |
Output is correct |
| 9 |
Correct |
2 ms |
348 KB |
Output is correct |
| 10 |
Correct |
1 ms |
392 KB |
Output is correct |
