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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#120208#6412. Classical Geometry Problemhos_lyricAC ✓32ms3712kbC++142.7kb2023-07-06 14:59:372023-07-06 14:59:39

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-07-06 14:59:39]
  • 评测
  • 测评结果:AC
  • 用时:32ms
  • 内存:3712kb
  • [2023-07-06 14:59:37]
  • 提交

answer

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }


using Double = long double;

constexpr Double EPS = 1e-10L;
constexpr Double L = 255;

int main() {
  for (int numCases; ~scanf("%d", &numCases); ) { for (int caseId = 1; caseId <= numCases; ++caseId) {
    vector<Double> A(3);
    for (int i = 0; i < 3; ++i) {
      int x;
      scanf("%d", &x);
      A[i] = x;
    }
    
    vector<vector<Double>> ans;
    auto bs = A;
    for (int p = 7; p; ) {
      int im = -1;
      for (int i = 0; i < 3; ++i) if (p >> i & 1) {
        if (!~im || bs[im] > bs[i]) {
          im = i;
        }
      }
      if (bs[im] == L) {
        vector<Double> op(4, 0.0);
        Double d = 0.0;
        for (int i = 0; i < 3; ++i) if (p >> i & 1) {
          op[i] = L;
          d += L * L;
        }
        op[3] = sqrt(d);
        ans.push_back(op);
        break;
      } else {
        vector<Double> op(4, 0.0);
        Double d = 0.0;
        auto cs = bs;
        for (int i = 0; i < 3; ++i) if (p >> i & 1) {
          op[i] = L;
          cs[i] = L - (L - 0) / (L - bs[im]) * (L - bs[i]);
          d += (cs[i] - bs[i]) * (cs[i] - bs[i]);
        }
        op[3] = sqrt(d);
        ans.push_back(op);
        bs = cs;
        p -= (1 << im);
      }
    }
    reverse(ans.begin(), ans.end());
    
    printf("%d\n", (int)ans.size());
    for (const auto &op : ans) {
      printf("%.Lf %.Lf %.Lf %.12Lf\n", op[0], op[1], op[2], op[3]);
    }
  }
#ifndef LOCAL
  break;
#endif
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3712kb

input:

3
105 255 175
174 174 174
0 0 0

output:

3
0 255 0 255.000000000000
0 255 255 119.000000000000
255 255 255 119.000000000000
3
0 0 255 0.000000000000
0 255 255 0.000000000000
255 255 255 301.376840516985
3
0 0 255 0.000000000000
0 255 255 0.000000000000
255 255 255 0.000000000000

result:

ok ok (3 test cases)

Test #2:

score: 0
Accepted
time: 27ms
memory: 3668kb

input:

10000
250 128 13
1 245 2
88 183 138
179 69 194
153 246 33
255 119 192
233 30 108
26 208 33
53 162 189
225 130 10
202 137 121
152 198 25
49 165 180
228 56 30
74 18 14
6 115 31
168 242 206
90 238 139
44 103 60
16 21 190
229 209 68
41 171 181
39 74 73
181 96 18
234 95 70
75 174 84
101 16 44
202 249 80
...

output:

3
255 0 0 244.960629921260
255 255 0 121.271562481707
255 255 255 14.683872523535
3
0 255 0 244.920948616601
0 255 255 1.004720917329
255 255 255 1.411981404758
3
0 255 0 98.076923076923
0 255 255 89.645464491727
255 255 255 113.949582887387
3
0 0 255 50.328947368421
255 0 255 193.374653313657
255 2...

result:

ok ok (10000 test cases)

Test #3:

score: 0
Accepted
time: 25ms
memory: 3700kb

input:

10000
90 173 87
39 251 59
39 43 150
106 29 130
52 55 180
236 225 70
171 15 48
92 133 240
182 226 10
126 139 105
196 7 204
32 131 193
27 96 218
67 29 33
159 9 251
130 111 243
226 69 39
198 131 80
108 169 147
45 36 170
76 138 251
55 235 186
224 165 48
51 133 173
225 14 226
234 70 139
178 92 174
138 24...

output:

3
0 255 0 128.272727272727
255 255 0 5.084891638575
255 255 255 129.125162988616
3
0 255 0 249.795918367347
0 255 255 23.616027532010
255 255 255 52.667780110124
3
0 0 255 128.702830188679
0 255 255 5.269681089669
255 255 255 57.841219509816
3
0 0 255 41.073825503356
255 0 255 113.404792206640
255 2...

result:

ok ok (10000 test cases)

Test #4:

score: 0
Accepted
time: 32ms
memory: 3640kb

input:

10000
186 217 161
76 0 116
246 159 161
32 245 65
206 120 71
217 76 204
109 255 245
157 59 192
55 35 87
27 147 199
190 134 31
169 64 105
5 27 255
161 2 35
244 255 232
253 106 199
28 151 129
50 24 20
172 236 234
74 51 150
179 68 178
69 42 192
152 1 23
177 169 71
216 190 125
136 223 193
255 168 49
74 2...

output:

3
0 255 0 114.565217391304
255 255 0 77.423738456576
255 255 255 210.056622440367
3
0 0 255 56.983240223464
255 0 255 96.223583047616
255 255 255 0.000000000000
3
255 0 0 230.585106382979
255 0 255 5.336794410424
255 255 255 223.028684131240
3
0 255 0 241.578947368421
0 255 255 37.787654997299
255 2...

result:

ok ok (10000 test cases)

Test #5:

score: 0
Accepted
time: 25ms
memory: 3680kb

input:

10000
26 6 234
114 6 172
198 19 173
214 204 1
104 186 218
199 182 82
47 240 186
223 240 143
184 99 164
184 155 37
185 4 114
49 253 17
239 214 37
0 231 38
73 245 212
121 102 155
86 234 219
157 173 216
236 46 65
103 67 130
27 253 105
83 105 197
81 93 254
47 206 225
207 110 24
38 119 248
76 243 180
10 ...

output:

3
0 0 255 231.615720524017
255 0 255 20.567868290691
255 255 255 8.167324052251
3
0 0 255 104.893617021277
255 0 255 128.342253846606
255 255 255 7.179388571751
3
255 0 0 77.743902439024
255 0 255 202.650628704120
255 255 255 20.631072226015
3
255 0 0 50.000000000000
255 255 0 261.490344428624
255 2...

result:

ok ok (10000 test cases)

Test #6:

score: 0
Accepted
time: 25ms
memory: 3700kb

input:

10000
122 50 52
152 12 229
149 135 184
140 164 193
2 251 109
180 33 217
241 225 126
33 165 94
57 163 242
85 164 132
179 131 197
185 186 185
216 145 74
95 203 40
158 236 193
245 97 111
144 61 52
9 67 157
44 113 152
132 82 110
130 182 33
96 168 202
10 184 228
173 243 124
198 29 180
196 15 47
153 63 54...

output:

3
255 0 0 87.931034482759
255 0 255 2.974202613932
255 255 255 77.483854893681
3
0 0 255 190.631067961165
255 0 255 151.521932102264
255 255 255 13.096571883215
3
0 0 255 84.198113207547
255 0 255 35.807028880364
255 255 255 197.042071966877
3
0 0 255 81.263736263736
0 255 255 64.395135756683
255 25...

result:

ok ok (10000 test cases)

Test #7:

score: 0
Accepted
time: 32ms
memory: 3708kb

input:

10000
218 94 126
189 17 30
100 251 196
67 123 128
157 60 0
161 139 95
179 210 67
98 91 45
186 227 63
242 172 226
173 1 24
66 118 98
194 75 112
189 176 43
243 226 174
112 93 67
202 143 142
117 216 97
108 179 239
161 97 91
233 111 216
110 231 208
195 20 203
43 24 22
189 205 79
98 167 102
230 139 185
1...

output:

3
255 0 0 181.860465116279
255 0 255 52.726801714273
255 255 255 122.373539650802
3
255 0 0 180.200000000000
255 0 255 14.515445679183
255 255 255 23.864519817554
3
0 255 0 237.711864406780
0 255 255 158.298033521919
255 255 255 107.030683066053
3
0 0 255 9.659090909091
0 255 255 105.405216687085
25...

result:

ok ok (10000 test cases)

Test #8:

score: 0
Accepted
time: 28ms
memory: 3696kb

input:

10000
58 139 199
227 23 87
52 111 207
249 83 64
55 125 147
142 246 229
118 194 7
164 16 252
59 36 140
143 180 64
167 127 108
202 51 10
172 6 150
28 149 45
72 217 154
236 88 23
4 226 232
225 109 37
172 245 69
190 112 71
81 40 143
124 38 213
124 112 178
169 61 176
180 125 234
1 63 157
51 215 59
75 216...

output:

3
0 0 255 131.896551724138
0 255 255 116.426100961072
255 255 255 69.297979045319
3
255 0 0 212.500000000000
255 0 255 71.315146906945
255 255 255 28.532440806196
3
0 0 255 170.000000000000
0 255 255 78.122278156376
255 255 255 64.929265791051
3
255 0 0 246.104651162791
255 255 0 25.381921366374
255...

result:

ok ok (10000 test cases)

Test #9:

score: 0
Accepted
time: 32ms
memory: 3628kb

input:

10000
154 183 17
8 28 144
3 227 218
175 43 0
209 191 38
123 96 107
56 179 204
230 197 204
188 100 217
43 189 158
161 254 191
83 240 178
150 193 187
123 122 48
157 207 135
103 84 235
62 53 66
77 2 234
237 56 156
219 127 51
184 225 70
138 102 218
53 203 153
39 98 75
171 45 134
159 215 212
128 35 190
1...

output:

3
0 255 0 73.217821782178
255 255 0 180.264897951312
255 255 255 19.170156440655
3
0 0 255 130.308370044053
0 255 255 22.984116613214
255 255 255 11.444661707442
3
0 255 0 62.027027027027
0 255 255 272.833937296842
255 255 255 3.050431180258
3
255 0 0 158.773584905660
255 255 0 45.959727444947
255 2...

result:

ok ok (10000 test cases)

Test #10:

score: 0
Accepted
time: 32ms
memory: 3692kb

input:

10000
250 227 91
46 34 201
210 87 230
102 2 191
107 0 185
104 203 241
250 164 144
40 123 155
61 164 38
200 197 253
155 124 18
219 173 90
127 124 225
217 94 50
242 198 116
227 79 191
120 136 155
184 151 174
45 122 243
248 142 31
31 154 253
152 165 224
238 39 128
165 134 229
162 220 33
61 111 11
205 1...

output:

3
255 0 0 209.464285714286
255 255 0 214.808503840336
255 255 255 92.358446966457
3
0 0 255 189.114832535885
255 0 255 14.300849793847
255 255 255 47.527755827143
3
0 0 255 113.333333333333
255 0 255 213.573041912736
255 255 255 90.992672529614
3
0 0 255 148.333333333333
255 0 255 109.253171541376
2...

result:

ok ok (10000 test cases)

Test #11:

score: 0
Accepted
time: 32ms
memory: 3636kb

input:

10000
208 135 142
248 171 248
162 65 32
9 162 63
91 20 90
188 236 117
62 200 71
14 228 53
68 196 133
27 159 255
129 86 121
46 216 3
213 65 177
7 28 45
215 136 153
108 54 113
254 122 99
243 222 89
18 255 48
14 157 204
210 33 132
87 4 33
231 222 233
30 14 100
10 45 226
49 210 232
113 79 18
235 109 14
...

output:

3
255 0 0 148.938053097345
255 0 255 16.110367375584
255 255 255 192.825131271834
3
0 0 255 0.000000000000
255 0 255 330.572420204711
255 255 255 172.183405123723
3
255 0 0 130.184210526316
255 255 0 42.013351118658
255 255 255 44.107298711141
3
0 255 0 131.484375000000
0 255 255 62.196412608083
255...

result:

ok ok (10000 test cases)

Test #12:

score: 0
Accepted
time: 29ms
memory: 3684kb

input:

10000
119 133 74
50 106 117
59 203 94
72 223 194
202 156 197
61 81 108
77 80 107
240 230 250
53 54 66
133 197 44
33 113 2
83 54 163
206 241 33
41 83 202
182 57 124
37 155 241
186 245 218
153 80 29
47 83 212
41 32 94
107 89 186
58 161 214
114 106 34
17 89 16
19 117 170
169 115 74
55 143 33
6 182 196
...

output:

3
0 255 0 26.250000000000
255 255 0 85.168378155649
255 255 255 105.144975287797
3
0 0 255 18.825503355705
0 255 255 94.945357029926
255 255 255 70.381809071561
3
0 255 0 172.639751552795
0 255 255 47.851882214958
255 255 255 77.941037428902
3
0 255 0 121.229508196721
0 255 255 191.971692910168
255 ...

result:

ok ok (10000 test cases)

Test #13:

score: 0
Accepted
time: 32ms
memory: 3628kb

input:

10000
170 100 234
20 253 12
243 196 46
206 129 235
149 5 166
232 179 7
149 75 45
98 197 156
206 22 133
230 176 54
159 228 135
170 92 118
90 61 180
9 26 18
21 65 122
40 143 87
125 192 199
176 35 144
44 85 243
153 238 203
227 9 212
200 74 226
253 135 20
139 117 222
230 43 212
42 201 224
22 222 152
191...

output:

3
0 0 255 192.000000000000
255 0 255 118.623846951432
255 255 255 114.851394732534
3
0 255 0 252.829787234043
255 255 0 8.395365754098
255 255 255 16.693841585996
3
255 0 0 203.135593220339
255 255 0 186.761411336796
255 255 255 47.870686905184
3
0 0 255 150.918367346939
255 0 255 168.314230094467
2...

result:

ok ok (10000 test cases)

Test #14:

score: 0
Accepted
time: 32ms
memory: 3688kb

input:

10000
67 216 241
14 40 250
28 215 219
200 241 181
3 167 13
227 218 113
85 72 151
116 20 162
202 252 17
54 184 231
49 90 219
117 173 19
37 53 223
10 195 119
118 128 187
46 208 215
54 85 104
71 99 34
234 95 0
44 223 10
14 248 47
123 70 75
245 118 231
131 187 137
34 62 21
4 118 233
40 183 96
242 97 190...

output:

3
0 0 255 163.461538461538
0 255 255 214.728227972463
255 255 255 68.608120196215
3
0 0 255 249.069767441860
0 255 255 27.517811695693
255 255 255 18.763665325500
3
0 0 255 25.500000000000
0 255 255 282.615005587978
255 255 255 28.776064151900
3
0 255 0 190.090909090909
255 255 0 67.560792389824
255...

result:

ok ok (10000 test cases)

Test #15:

score: 0
Accepted
time: 31ms
memory: 3640kb

input:

10000
252 245 224
4 171 9
240 190 208
69 15 254
4 230 90
0 255 17
6 26 58
150 187 237
239 242 146
255 227 231
232 117 26
44 255 111
183 1 9
121 85 207
15 245 120
247 181 40
1 255 164
244 139 255
131 248 27
161 24 241
63 44 16
207 36 251
15 227 163
49 7 180
27 7 23
61 254 235
14 8 11
200 7 3
26 254 3...

output:

3
255 0 0 178.500000000000
255 255 0 180.347875339406
255 255 255 236.362303249699
3
0 255 0 167.926829268293
0 255 255 5.367656836771
255 255 255 5.758547600079
3
255 0 0 173.617021276596
255 0 255 74.124496760022
255 255 255 238.530957637535
3
0 0 255 253.629032258065
255 0 255 57.375829208368
255...

result:

ok ok (10000 test cases)

Test #16:

score: 0
Accepted
time: 31ms
memory: 3704kb

input:

10000
10 7 240
232 252 180
5 169 10
1 40 6
252 2 242
245 8 5
249 17 249
255 2 233
12 3 1
2 6 253
252 254 2
251 245 6
254 4 252
10 244 245
254 218 52
255 8 4
20 112 248
253 0 254
250 234 1
226 245 216
11 6 2
245 139 0
8 28 233
1 11 24
246 250 253
9 124 17
255 26 1
14 251 46
2 14 248
233 1 44
12 255 1...

output:

3
0 0 255 239.387755102041
255 0 255 3.090453372977
255 255 255 9.848905676678
3
0 255 0 221.739130434783
255 255 0 178.297626751182
255 255 255 188.411464619327
3
0 255 0 165.489795918367
0 255 255 5.405074528061
255 255 255 7.208911152178
3
0 255 0 34.819277108434
0 255 255 6.631975676619
255 255 ...

result:

ok ok (10000 test cases)

Test #17:

score: 0
Accepted
time: 29ms
memory: 3668kb

input:

10000
0 3 254
9 1 2
250 254 0
4 1 65
212 3 253
253 255 254
252 1 255
255 230 11
253 215 255
113 12 16
252 253 0
255 254 254
254 255 252
0 32 254
255 36 252
10 1 243
3 46 11
99 3 255
250 0 248
11 5 3
253 254 255
23 2 1
0 253 4
255 255 248
255 237 250
7 13 1
251 251 246
0 0 4
0 2 1
254 254 0
189 3 0
2...

output:

3
0 0 255 253.988095238095
0 255 255 3.000023620466
255 255 255 0.000000000000
3
255 0 0 7.055335968379
255 0 255 1.400277846034
255 255 255 1.711765568144
3
0 255 0 204.000000000000
255 255 0 254.950975679639
255 255 255 0.000000000000
3
0 0 255 61.972111553785
255 0 255 3.777400343512
255 255 255 ...

result:

ok ok (10000 test cases)

Test #18:

score: 0
Accepted
time: 28ms
memory: 3688kb

input:

10000
0 253 255
255 252 2
255 0 255
250 253 255
253 0 255
252 251 236
8 255 0
247 254 254
2 255 255
255 255 252
0 0 4
6 250 0
7 32 0
0 2 255
255 9 255
3 255 1
255 255 242
254 0 0
0 0 254
0 255 255
1 0 9
255 255 2
0 255 0
0 0 255
254 9 1
253 255 254
252 0 255
0 0 255
254 0 252
255 247 0
2 250 255
255...

output:

3
0 0 255 255.000000000000
0 255 255 253.000000000000
255 255 255 0.000000000000
3
255 0 0 255.000000000000
255 255 0 251.976284584980
255 255 255 2.000140600285
2
255 0 255 360.624458405139
255 255 255 0.000000000000
3
0 0 255 255.000000000000
0 255 255 153.000000000000
255 255 255 269.258240356725...

result:

ok ok (10000 test cases)

Test #19:

score: 0
Accepted
time: 20ms
memory: 3684kb

input:

10000
0 0 0
255 0 255
0 255 255
255 255 1
0 0 0
0 255 1
255 0 254
0 255 0
0 203 255
0 2 0
255 0 255
255 254 0
255 0 255
255 255 228
0 255 255
0 255 255
0 254 0
253 0 0
242 0 0
255 0 0
255 252 0
0 0 0
0 0 0
255 255 255
0 0 255
255 255 0
4 255 0
0 1 0
0 0 255
0 253 253
0 255 255
0 0 255
255 0 0
1 255 ...

output:

3
0 0 255 0.000000000000
0 255 255 0.000000000000
255 255 255 0.000000000000
2
255 0 255 360.624458405139
255 255 255 0.000000000000
2
0 255 255 360.624458405139
255 255 255 0.000000000000
2
255 255 0 360.624458405139
255 255 255 1.000000000000
3
0 0 255 0.000000000000
0 255 255 0.000000000000
255 2...

result:

ok ok (10000 test cases)

Test #20:

score: 0
Accepted
time: 20ms
memory: 3688kb

input:

10000
0 0 0
0 255 255
255 0 255
255 255 0
255 255 255
255 0 0
255 255 255
0 0 255
0 0 0
0 0 255
255 255 0
0 0 255
255 0 0
0 0 0
255 255 0
0 0 255
0 0 0
255 255 0
0 0 255
0 255 0
255 0 255
0 255 255
0 255 0
0 255 0
1 0 255
255 0 254
255 0 255
255 255 255
0 255 255
255 0 255
255 0 255
0 255 255
255 25...

output:

3
0 0 255 0.000000000000
0 255 255 0.000000000000
255 255 255 0.000000000000
2
0 255 255 360.624458405139
255 255 255 0.000000000000
2
255 0 255 360.624458405139
255 255 255 0.000000000000
2
255 255 0 360.624458405139
255 255 255 0.000000000000
1
255 255 255 441.672955930064
3
255 0 0 255.0000000000...

result:

ok ok (10000 test cases)