#include <iostream>
#include <vector>
#include <cmath>
#include <algorithm>
using namespace std;
#pragma warning (disable: 4996)
// ----------------------------------------- 幾何ライブラリ（ライブラリではない） ---------------------------------------
struct Point {
long double px, py;
};
Point operator+(const Point& a1, const Point& a2) {
return Point{ a1.px + a2.px, a1.py + a2.py };
}
Point operator-(const Point& a1, const Point& a2) {
return Point{ a1.px - a2.px, a1.py - a2.py };
}
Point Div(Point a1, long double d) {
return Point{ a1.px / d, a1.py / d };
}
long double dst(Point a1, Point a2) {
return sqrt((a1.px - a2.px) * (a1.px - a2.px) + (a1.py - a2.py) * (a1.py - a2.py));
}
long double angle(Point V1) {
long double J1 = V1.px / sqrt(V1.px * V1.px + V1.py * V1.py);
long double J2 = 180.0L * acos(J1) / 3.14159265358979323846264L;
if (V1.py >= 0) return J2;
else return 360.0L - J2;
}
long double getangle(Point V1, Point V2, Point V3) {
Point G1 = V1 - V2; long double IA = angle(G1);
Point G2 = V3 - V2; long double IB = angle(G2);
return min(fabs(IA - IB), 360.0L - fabs(IA - IB));
}
Point getproper(Point V2, Point V1, Point V3) {
long double cl = 0.0L, cr = 1.0L, cm;
for (int i = 0; i < 104; i++) {
cm = (cl + cr) / 2.0L;
Point I = { V1.px * cm + V3.px * (1.0L - cm), V1.py * cm + V3.py * (1.0L - cm) };
if (getangle(V2, I, V1) < 90.0L) { cl = cm; }
else { cr = cm; }
}
return Point{ V1.px * cm + V3.px * (1.0L - cm), V1.py * cm + V3.py * (1.0L - cm) };
}
// -------------------------------------------------- 本質パート -------------------------------------------------------
int N; vector<pair<long double, long double>> X;
int M; vector<pair<long double, long double>> Y;
long double G;
long double ax[1 << 18], ay[1 << 18], bx[1 << 18], by[1 << 18];
long double cx[1 << 18], cy[1 << 18], dx[1 << 18], dy[1 << 18]; bool trans[1 << 18];
long double EPS = 1.0 / 120.0;
bool equal(long double ap, long double bp) {
if (fabs(ap - bp) < EPS) return true;
if (min(ap, bp) / max(ap, bp) >= (1.0 - EPS)) return true;
return false;
}
void solve(long double H1, long double W1, long double H2, long double W2, int idx) {
if (equal(H1, H2) == true && equal(W1, W2) == true) {
ax[idx] = 0; ay[idx] = 0; bx[idx] = H1; by[idx] = W1;
cx[idx] = 0; cy[idx] = 0; dx[idx] = H2; dy[idx] = W2;
trans[idx] = false;
G = idx;
return;
}
if (equal(H1, W2) == true && equal(W1, H2) == true) {
ax[idx] = 0; ay[idx] = 0; bx[idx] = H1; by[idx] = W1;
cx[idx] = 0; cy[idx] = 0; dx[idx] = H2; dy[idx] = W2;
trans[idx] = true;
G = idx;
return;
}
long double c[4] = { H1, H2, W1, W2 }; sort(c, c + 4);
long double v1 = c[0], v2 = c[2]; if (H1 == v2 || W1 == v1) swap(v1, v2);
long double w1 = v1, w2 = v2;
if (H2 == v1 || W2 == v2) { trans[idx] = false; }
if (H2 == v2 || W2 == v1) { trans[idx] = true; swap(w1, w2); }
long double c1 = 0, c2 = 0;
long double d1 = 0, d2 = 0;
if (H1 == v1) {
ax[idx] = 0; ay[idx] = W1 - v2;
bx[idx] = H1; by[idx] = W1;
c1 = H1; c2 = W1 - v2;
}
else if (W1 == v2) {
ax[idx] = H1 - v1; ay[idx] = 0;
bx[idx] = H1; by[idx] = W1;
c1 = H1 - v1; c2 = W1;
}
if (H2 == w1) {
cx[idx] = 0; cy[idx] = W2 - w2;
dx[idx] = H2; dy[idx] = W2;
d1 = H2; d2 = W2 - w2;
}
else if (W2 == w2) {
cx[idx] = H2 - w1; cy[idx] = 0;
dx[idx] = H2; dy[idx] = W2;
d1 = H2 - w1; d2 = W2;
}
solve(c1, c2, d1, d2, idx + 1);
}
int main() {
FILE* in = freopen("in1.txt", "r", stdin);
FILE* out = freopen("out1.txt", "w", stdout);
// ステップ 1. 入力
cin >> N; X.resize(N, make_pair(0, 0)); for (int i = 0; i < N; i++) cin >> X[i].first >> X[i].second;
cin >> M; Y.resize(M, make_pair(0, 0)); for (int i = 0; i < M; i++) cin >> Y[i].first >> Y[i].second;
// ステップ 2. 最大座標を求める
long double px = 0, py = 0; for (int i = 0; i < N; i++) { px = max(px, X[i].first); py = max(py, X[i].second); }
long double qx = 0, qy = 0; for (int i = 0; i < M; i++) { qx = max(qx, Y[i].first); qy = max(qy, Y[i].second); }
// ステップ 3. 三角形を四角形にする
if (X.size() == 3) {
Point V1 = Point{ X[0].first, X[0].second };
Point V2 = Point{ X[1].first, X[1].second };
Point V3 = Point{ X[2].first, X[2].second };
long double U1 = getangle(V3, V1, V2);
long double U2 = getangle(V1, V2, V3);
long double U3 = getangle(V2, V3, V1);
if (U2 <= 89.9L && U3 <= 89.9L) { Point W1 = V1, W2 = V2, W3 = V3; V1 = W1; V2 = W2; V3 = W3; }
else if (U1 <= 89.9L && U3 <= 89.9L) { Point W1 = V1, W2 = V2, W3 = V3; V1 = W2; V2 = W3; V3 = W1; }
else if (U1 <= 89.9L && U2 <= 89.9L) { Point W1 = V1, W2 = V2, W3 = V3; V1 = W3; V2 = W1; V3 = W2; }
Point V = getproper(V1, V3, V2);
Point MV = Div(V + V1, 2.0L);
Point M2 = Div(V2 + V1, 2.0L);
Point M3 = Div(V3 + V1, 2.0L);
Point M1 = M2 - (MV - M2);
Point M4 = M3 + (M3 - MV);
cout << "scissors" << endl;
cout << 0 << " " << 4 << endl;
printf("3 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", V1.px, V1.py, M2.px, M2.py, MV.px, MV.py);
printf("3 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", MV.px, MV.py, M3.px, M3.py, V1.px, V1.py);
printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", MV.px, MV.py, M2.px, M2.py, V2.px, V2.py, V.px, V.py);
printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", V.px, V.py, V3.px, V3.py, M3.px, M3.py, MV.px, MV.py);
cout << "tape" << endl;
cout << 4 << " " << 1 << " " << 2 << " " << 3 << " " << 4 << endl;
printf("3 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", V2.px, V2.py, M2.px, M2.py, M1.px, M1.py);
printf("3 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", M4.px, M4.py, M3.px, M3.py, V3.px, V3.py);
printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", MV.px, MV.py, M2.px, M2.py, V2.px, V2.py, V.px, V.py);
printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", V.px, V.py, V3.px, V3.py, M3.px, M3.py, MV.px, MV.py);
printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", V2.px, V2.py, V3.px, V3.py, M4.px, M4.py, M1.px, M1.py);
px = dst(M1, M4);
py = dst(M1, V2);
cout << "tape" << endl;
cout << 1 << " " << 5 << endl;
printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", 0.0, 0.0, px, 0.0, px, py, 0.0, py);
printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", 0.0, 0.0, px, 0.0, px, py, 0.0, py);
}
// ステップ 4. 操作を行う
solve(px, py, qx, qy, 7);
// ステップ 5. 出力を行う
cout << "scissors" << endl;
cout << "6 " << G - 6 << endl;
for (int i = 7; i <= G; i++) printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", ax[i], ay[i], bx[i], ay[i], bx[i], by[i], ax[i], by[i]);
cout << "tape" << endl;
cout << G - 6; for (int i = 7; i <= G; i++) cout << " " << i; cout << endl;
for (int i = 7; i <= G; i++) {
if (trans[i] == false) printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", cx[i], cy[i], dx[i], cy[i], dx[i], dy[i], cx[i], dy[i]);
if (trans[i] == true) printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", dx[i], cy[i], dx[i], dy[i], cx[i], dy[i], cx[i], cy[i]);
}
printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", 0.0, 0.0, qx, 0.0, qx, qy, 0.0, qy);
return 0;
}
Compilation message
scissors.cpp:6:0: warning: ignoring #pragma warning [-Wunknown-pragmas]
#pragma warning (disable: 4996)
scissors.cpp: In function 'int main()':
scissors.cpp:164:99: warning: format '%Lf' expects argument of type 'long double', but argument 2 has type 'double' [-Wformat=]
printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", 0.0, 0.0, px, 0.0, px, py, 0.0, py);
^
scissors.cpp:164:99: warning: format '%Lf' expects argument of type 'long double', but argument 3 has type 'double' [-Wformat=]
scissors.cpp:164:99: warning: format '%Lf' expects argument of type 'long double', but argument 5 has type 'double' [-Wformat=]
scissors.cpp:164:99: warning: format '%Lf' expects argument of type 'long double', but argument 8 has type 'double' [-Wformat=]
scissors.cpp:165:99: warning: format '%Lf' expects argument of type 'long double', but argument 2 has type 'double' [-Wformat=]
printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", 0.0, 0.0, px, 0.0, px, py, 0.0, py);
^
scissors.cpp:165:99: warning: format '%Lf' expects argument of type 'long double', but argument 3 has type 'double' [-Wformat=]
scissors.cpp:165:99: warning: format '%Lf' expects argument of type 'long double', but argument 5 has type 'double' [-Wformat=]
scissors.cpp:165:99: warning: format '%Lf' expects argument of type 'long double', but argument 8 has type 'double' [-Wformat=]
scissors.cpp:182:98: warning: format '%Lf' expects argument of type 'long double', but argument 2 has type 'double' [-Wformat=]
printf("4 %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf %.6Lf\n", 0.0, 0.0, qx, 0.0, qx, qy, 0.0, qy);
^
scissors.cpp:182:98: warning: format '%Lf' expects argument of type 'long double', but argument 3 has type 'double' [-Wformat=]
scissors.cpp:182:98: warning: format '%Lf' expects argument of type 'long double', but argument 5 has type 'double' [-Wformat=]
scissors.cpp:182:98: warning: format '%Lf' expects argument of type 'long double', but argument 8 has type 'double' [-Wformat=]
scissors.cpp:117:8: warning: unused variable 'in' [-Wunused-variable]
FILE* in = freopen("in1.txt", "r", stdin);
^~
scissors.cpp:118:8: warning: unused variable 'out' [-Wunused-variable]
FILE* out = freopen("out1.txt", "w", stdout);
^~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
5 ms |
376 KB |
Operation 1 (tape), polygon 0, vertex 0: Equivalent polygons must not change distance of any side by more than 0.001000, got '3.000000' vs '4.000000', error '0.333333' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
5 ms |
376 KB |
Operation 1 (tape), polygon 0, vertex 0: Equivalent polygons must not change distance of any side by more than 0.001000, got '312000.000000' vs '195000.000000', error '0.375000' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
5 ms |
376 KB |
Operation 1 (tape), polygon 0, vertex 0: Equivalent polygons must not change distance of any side by more than 0.001000, got '3.000000' vs '4.000000', error '0.333333' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
5 ms |
508 KB |
Operation 1 (tape), polygon 0: Equivalent polygons must have same number of vertices (3 != 4) |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
5 ms |
376 KB |
Operation 1 (tape), polygon 0, vertex 0: Equivalent polygons must not change cosine of any internal angle by more than 0.001000, got '0.081922' vs '0.429625', error '0.347702' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
5 ms |
376 KB |
Operation 1 (tape), polygon 0, vertex 0: Equivalent polygons must not change distance of any side by more than 0.001000, got '3.000000' vs '4.000000', error '0.333333' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
5 ms |
376 KB |
Operation 1 (tape), polygon 0, vertex 0: Equivalent polygons must not change distance of any side by more than 0.001000, got '3.000000' vs '4.000000', error '0.333333' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
5 ms |
376 KB |
Operation 1 (tape), polygon 0, vertex 0: Equivalent polygons must not change distance of any side by more than 0.001000, got '3.000000' vs '4.000000', error '0.333333' |
| 2 |
Halted |
0 ms |
0 KB |
- |
