Task: | Particle accelerator |
Sender: | louaha1 |
Submission time: | 2024-09-16 17:46:48 +0300 |
Language: | Python3 (CPython3) |
Status: | READY |
Result: | TIME LIMIT EXCEEDED |
test | verdict | time | |
---|---|---|---|
#1 | ACCEPTED | 0.03 s | details |
#2 | ACCEPTED | 0.03 s | details |
#3 | ACCEPTED | 0.03 s | details |
#4 | ACCEPTED | 0.03 s | details |
#5 | ACCEPTED | 0.03 s | details |
#6 | ACCEPTED | 0.03 s | details |
#7 | ACCEPTED | 0.03 s | details |
#8 | ACCEPTED | 0.03 s | details |
#9 | ACCEPTED | 0.03 s | details |
#10 | ACCEPTED | 0.04 s | details |
#11 | ACCEPTED | 0.03 s | details |
#12 | ACCEPTED | 0.03 s | details |
#13 | ACCEPTED | 0.03 s | details |
#14 | ACCEPTED | 0.03 s | details |
#15 | ACCEPTED | 0.03 s | details |
#16 | ACCEPTED | 0.03 s | details |
#17 | ACCEPTED | 0.03 s | details |
#18 | ACCEPTED | 0.03 s | details |
#19 | ACCEPTED | 0.03 s | details |
#20 | ACCEPTED | 0.03 s | details |
#21 | ACCEPTED | 0.03 s | details |
#22 | ACCEPTED | 0.03 s | details |
#23 | ACCEPTED | 0.03 s | details |
#24 | ACCEPTED | 0.03 s | details |
#25 | ACCEPTED | 0.03 s | details |
#26 | ACCEPTED | 0.03 s | details |
#27 | ACCEPTED | 0.03 s | details |
#28 | ACCEPTED | 0.03 s | details |
#29 | ACCEPTED | 0.03 s | details |
#30 | ACCEPTED | 0.03 s | details |
#31 | ACCEPTED | 0.03 s | details |
#32 | ACCEPTED | 0.23 s | details |
#33 | ACCEPTED | 0.23 s | details |
#34 | ACCEPTED | 0.24 s | details |
#35 | ACCEPTED | 0.23 s | details |
#36 | ACCEPTED | 0.23 s | details |
#37 | ACCEPTED | 0.23 s | details |
#38 | ACCEPTED | 0.23 s | details |
#39 | ACCEPTED | 0.24 s | details |
#40 | ACCEPTED | 0.24 s | details |
#41 | ACCEPTED | 0.24 s | details |
#42 | TIME LIMIT EXCEEDED | -- | details |
#43 | TIME LIMIT EXCEEDED | -- | details |
#44 | TIME LIMIT EXCEEDED | -- | details |
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#89 | TIME LIMIT EXCEEDED | -- | details |
#90 | TIME LIMIT EXCEEDED | -- | details |
#91 | TIME LIMIT EXCEEDED | -- | details |
Code
from typing import List def compute_mass(prefix_sum: List[int], start: int, end: int) -> int: return prefix_sum[end + 1] - prefix_sum[start] def calculate_min_cost(size: int, values: List[int]) -> int: prefix_sum = [0] * (size + 1) for index in range(size): prefix_sum[index + 1] = prefix_sum[index] + values[index] cost_matrix = [[float('inf')] * size for _ in range(size)] for index in range(size): cost_matrix[index][index] = 0 for length in range(2, size + 1): for start in range(size - length + 1): end = start + length - 1 for split in range(start, end): left_mass = compute_mass(prefix_sum, start, split) right_mass = compute_mass(prefix_sum, split + 1, end) segment_mass = left_mass * right_mass min_mass = min(left_mass, right_mass) current_cost = (cost_matrix[start][split] + cost_matrix[split + 1][end] + segment_mass - min_mass * min_mass) cost_matrix[start][end] = min(cost_matrix[start][end], current_cost) return cost_matrix[0][size - 1] # Read inputs size = int(input().strip()) values = list(map(int, input().strip().split())) # Compute and output the result print(calculate_min_cost(size, values))
Test details
Test 1
Verdict: ACCEPTED
input |
---|
1 373 |
correct output |
---|
0 |
user output |
---|
0 |
Test 2
Verdict: ACCEPTED
input |
---|
1 10 |
correct output |
---|
0 |
user output |
---|
0 |
Test 3
Verdict: ACCEPTED
input |
---|
2 1 7 |
correct output |
---|
6 |
user output |
---|
6 |
Test 4
Verdict: ACCEPTED
input |
---|
2 798 810 |
correct output |
---|
9576 |
user output |
---|
9576 |
Test 5
Verdict: ACCEPTED
input |
---|
3 2 7 9 |
correct output |
---|
10 |
user output |
---|
10 |
Test 6
Verdict: ACCEPTED
input |
---|
3 43371 770816 582162 |
correct output |
---|
166626155145 |
user output |
---|
166626155145 |
Test 7
Verdict: ACCEPTED
input |
---|
3 255995 678296 258159 |
correct output |
---|
282656505483 |
user output |
---|
282656505483 |
Test 8
Verdict: ACCEPTED
input |
---|
4 2 4 5 10 |
correct output |
---|
19 |
user output |
---|
19 |
Test 9
Verdict: ACCEPTED
input |
---|
4 10 1 10 5 |
correct output |
---|
78 |
user output |
---|
78 |
Test 10
Verdict: ACCEPTED
input |
---|
4 4 10 10 8 |
correct output |
---|
96 |
user output |
---|
96 |
Test 11
Verdict: ACCEPTED
input |
---|
4 635350 99359 612245 308607 |
correct output |
---|
283721279422 |
user output |
---|
283721279422 |
Test 12
Verdict: ACCEPTED
input |
---|
5 8 9 7 9 6 |
correct output |
---|
167 |
user output |
---|
167 |
Test 13
Verdict: ACCEPTED
input |
---|
5 8 10 1 2 4 |
correct output |
---|
97 |
user output |
---|
97 |
Test 14
Verdict: ACCEPTED
input |
---|
5 25933 931751 549787 947945 435... |
correct output |
---|
642593396167 |
user output |
---|
642593396167 |
Test 15
Verdict: ACCEPTED
input |
---|
5 709 840 291 122 511 |
correct output |
---|
731471 |
user output |
---|
731471 |
Test 16
Verdict: ACCEPTED
input |
---|
5 6 2 10 9 8 |
correct output |
---|
49 |
user output |
---|
49 |
Test 17
Verdict: ACCEPTED
input |
---|
5 870929 831516 206766 363819 91... |
correct output |
---|
581247680937 |
user output |
---|
581247680937 |
Test 18
Verdict: ACCEPTED
input |
---|
5 4 3 9 1 1 |
correct output |
---|
45 |
user output |
---|
45 |
Test 19
Verdict: ACCEPTED
input |
---|
5 780095 319045 438508 978444 72... |
correct output |
---|
492410128596 |
user output |
---|
492410128596 |
Test 20
Verdict: ACCEPTED
input |
---|
5 969 240 870 378 531 |
correct output |
---|
955854 |
user output |
---|
955854 |
Test 21
Verdict: ACCEPTED
input |
---|
5 501988 499243 495885 7545 1338... |
correct output |
---|
284384673000 |
user output |
---|
284384673000 |
Test 22
Verdict: ACCEPTED
input |
---|
10 8 9 7 9 6 9 5 7 7 4 |
correct output |
---|
347 |
user output |
---|
347 |
Test 23
Verdict: ACCEPTED
input |
---|
10 8 10 1 2 4 10 2 3 1 4 |
correct output |
---|
194 |
user output |
---|
194 |
Test 24
Verdict: ACCEPTED
input |
---|
10 25933 931751 549787 947945 435... |
correct output |
---|
1909421677160 |
user output |
---|
1909421677160 |
Test 25
Verdict: ACCEPTED
input |
---|
10 709 840 291 122 511 570 893 43... |
correct output |
---|
2139925 |
user output |
---|
2139925 |
Test 26
Verdict: ACCEPTED
input |
---|
10 6 2 10 9 8 7 7 6 3 2 |
correct output |
---|
339 |
user output |
---|
339 |
Test 27
Verdict: ACCEPTED
input |
---|
10 870929 831516 206766 363819 91... |
correct output |
---|
2999634317613 |
user output |
---|
2999634317613 |
Test 28
Verdict: ACCEPTED
input |
---|
10 4 3 9 1 1 4 2 10 6 1 |
correct output |
---|
194 |
user output |
---|
194 |
Test 29
Verdict: ACCEPTED
input |
---|
10 780095 319045 438508 978444 72... |
correct output |
---|
3083316036349 |
user output |
---|
3083316036349 |
Test 30
Verdict: ACCEPTED
input |
---|
10 969 240 870 378 531 817 233 42... |
correct output |
---|
1139241 |
user output |
---|
1139241 |
Test 31
Verdict: ACCEPTED
input |
---|
10 501988 499243 495885 7545 1338... |
correct output |
---|
554211450134 |
user output |
---|
554211450134 |
Test 32
Verdict: ACCEPTED
input |
---|
100 8 9 7 9 6 9 5 7 7 4 5 3 9 1 10... |
correct output |
---|
6396 |
user output |
---|
6396 |
Test 33
Verdict: ACCEPTED
input |
---|
100 8 10 1 2 4 10 2 3 1 4 2 4 4 7 ... |
correct output |
---|
3542 |
user output |
---|
3542 |
Test 34
Verdict: ACCEPTED
input |
---|
100 25933 931751 549787 947945 435... |
correct output |
---|
45440863225859 |
user output |
---|
45440863225859 |
Test 35
Verdict: ACCEPTED
input |
---|
100 709 840 291 122 511 570 893 43... |
correct output |
---|
45958697 |
user output |
---|
45958697 |
Test 36
Verdict: ACCEPTED
input |
---|
100 6 2 10 9 8 7 7 6 3 2 10 3 1 7 ... |
correct output |
---|
3828 |
user output |
---|
3828 |
Test 37
Verdict: ACCEPTED
input |
---|
100 870929 831516 206766 363819 91... |
correct output |
---|
38360827705542 |
user output |
---|
38360827705542 |
Test 38
Verdict: ACCEPTED
input |
---|
100 4 3 9 1 1 4 2 10 6 1 6 7 5 6 4... |
correct output |
---|
5967 |
user output |
---|
5967 |
Test 39
Verdict: ACCEPTED
input |
---|
100 780095 319045 438508 978444 72... |
correct output |
---|
42394120248428 |
user output |
---|
42394120248428 |
Test 40
Verdict: ACCEPTED
input |
---|
100 969 240 870 378 531 817 233 42... |
correct output |
---|
43869305 |
user output |
---|
43869305 |
Test 41
Verdict: ACCEPTED
input |
---|
100 501988 499243 495885 7545 1338... |
correct output |
---|
51929619520205 |
user output |
---|
51929619520205 |
Test 42
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 21 495 634 444 749 832 499 584... |
correct output |
---|
94150203 |
user output |
---|
(empty) |
Test 43
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 19480 664871 463323 194160 725... |
correct output |
---|
109172696765966 |
user output |
---|
(empty) |
Test 44
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 740217 873584 263375 86454 533... |
correct output |
---|
91609970771011 |
user output |
---|
(empty) |
Test 45
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 3 9 9 9 10 2 10 8 5 8 7 7 8 8 ... |
correct output |
---|
12594 |
user output |
---|
(empty) |
Test 46
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 8 7 9 4 1 2 4 3 10 3 6 4 4 4 6... |
correct output |
---|
11434 |
user output |
---|
(empty) |
Test 47
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 2 6 1 2 4 9 3 10 6 1 4 9 4 8 2... |
correct output |
---|
10973 |
user output |
---|
(empty) |
Test 48
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 523282 55700 550826 308687 456... |
correct output |
---|
92752119769026 |
user output |
---|
(empty) |
Test 49
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 530707 844425 191564 889066 67... |
correct output |
---|
99915887908116 |
user output |
---|
(empty) |
Test 50
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 506 433 879 245 182 909 853 20... |
correct output |
---|
100894725 |
user output |
---|
(empty) |
Test 51
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 761422 412836 246994 715471 13... |
correct output |
---|
91724968917854 |
user output |
---|
(empty) |
Test 52
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 9 10 9 10 9 7 1 7 7 10 4 7 6 1... |
correct output |
---|
9260 |
user output |
---|
(empty) |
Test 53
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 3 7 8 1 1 10 3 7 1 2 4 9 7 4 4... |
correct output |
---|
13944 |
user output |
---|
(empty) |
Test 54
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 5 8 5 7 9 8 2 9 4 9 3 3 7 1 3 ... |
correct output |
---|
15692 |
user output |
---|
(empty) |
Test 55
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 10 2 8 8 3 6 3 5 7 2 2 1 4 3 7... |
correct output |
---|
12255 |
user output |
---|
(empty) |
Test 56
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 700 53 1000 318 221 984 362 51... |
correct output |
---|
126087673 |
user output |
---|
(empty) |
Test 57
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 6 5 3 1 2 2 5 2 2 3 7 7 5 2 6 ... |
correct output |
---|
11199 |
user output |
---|
(empty) |
Test 58
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 6 3 8 6 8 1 9 2 2 3 3 8 5 9 8 ... |
correct output |
---|
13071 |
user output |
---|
(empty) |
Test 59
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 814768 915127 735563 468064 86... |
correct output |
---|
98792356012408 |
user output |
---|
(empty) |
Test 60
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 562 289 125 165 398 398 782 31... |
correct output |
---|
94162582 |
user output |
---|
(empty) |
Test 61
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 3 4 1 10 8 5 5 4 6 4 8 9 9 9 8... |
correct output |
---|
11090 |
user output |
---|
(empty) |
Test 62
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 4 3 7 5 2 7 10 8 4 7 10 10 3 7... |
correct output |
---|
11655 |
user output |
---|
(empty) |
Test 63
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 958322 322406 770487 611574 98... |
correct output |
---|
81490639470393 |
user output |
---|
(empty) |
Test 64
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 373 422 556 331 956 754 737 73... |
correct output |
---|
88581726 |
user output |
---|
(empty) |
Test 65
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 5 7 5 10 3 2 9 8 2 7 1 9 10 9 ... |
correct output |
---|
13948 |
user output |
---|
(empty) |
Test 66
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 780277 423471 92725 418110 633... |
correct output |
---|
136105358146422 |
user output |
---|
(empty) |
Test 67
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 308420 676676 231540 246163 27... |
correct output |
---|
104365913260031 |
user output |
---|
(empty) |
Test 68
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 602 717 953 825 144 864 808 92... |
correct output |
---|
82761699 |
user output |
---|
(empty) |
Test 69
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 465 525 193 757 582 310 621 85... |
correct output |
---|
101145827 |
user output |
---|
(empty) |
Test 70
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 9 10 10 9 8 5 7 10 7 6 3 2 4 2... |
correct output |
---|
9822 |
user output |
---|
(empty) |
Test 71
Verdict: TIME LIMIT EXCEEDED
input |
---|
200 798 810 821 367 123 829 603 60... |
correct output |
---|
111853493 |
user output |
---|
(empty) |
Test 72
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 21 495 634 444 749 832 499 584... |
correct output |
---|
320652082 |
user output |
---|
(empty) |
Test 73
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 19480 664871 463323 194160 725... |
correct output |
---|
255800779186420 |
user output |
---|
(empty) |
Test 74
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 740217 873584 263375 86454 533... |
correct output |
---|
282774432682654 |
user output |
---|
(empty) |
Test 75
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 3 9 9 9 10 2 10 8 5 8 7 7 8 8 ... |
correct output |
---|
30727 |
user output |
---|
(empty) |
Test 76
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 8 7 9 4 1 2 4 3 10 3 6 4 4 4 6... |
correct output |
---|
28929 |
user output |
---|
(empty) |
Test 77
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 2 6 1 2 4 9 3 10 6 1 4 9 4 8 2... |
correct output |
---|
39800 |
user output |
---|
(empty) |
Test 78
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 523282 55700 550826 308687 456... |
correct output |
---|
367458083034844 |
user output |
---|
(empty) |
Test 79
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 530707 844425 191564 889066 67... |
correct output |
---|
276567810216590 |
user output |
---|
(empty) |
Test 80
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 506 433 879 245 182 909 853 20... |
correct output |
---|
357098617 |
user output |
---|
(empty) |
Test 81
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 761422 412836 246994 715471 13... |
correct output |
---|
345118298392748 |
user output |
---|
(empty) |
Test 82
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 9 10 9 10 9 7 1 7 7 10 4 7 6 1... |
correct output |
---|
37385 |
user output |
---|
(empty) |
Test 83
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 3 7 8 1 1 10 3 7 1 2 4 9 7 4 4... |
correct output |
---|
45054 |
user output |
---|
(empty) |
Test 84
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 5 8 5 7 9 8 2 9 4 9 3 3 7 1 3 ... |
correct output |
---|
48480 |
user output |
---|
(empty) |
Test 85
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 10 2 8 8 3 6 3 5 7 2 2 1 4 3 7... |
correct output |
---|
35867 |
user output |
---|
(empty) |
Test 86
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 700 53 1000 318 221 984 362 51... |
correct output |
---|
344007358 |
user output |
---|
(empty) |
Test 87
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 6 5 3 1 2 2 5 2 2 3 7 7 5 2 6 ... |
correct output |
---|
32937 |
user output |
---|
(empty) |
Test 88
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 6 3 8 6 8 1 9 2 2 3 3 8 5 9 8 ... |
correct output |
---|
33083 |
user output |
---|
(empty) |
Test 89
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 814768 915127 735563 468064 86... |
correct output |
---|
352570895811941 |
user output |
---|
(empty) |
Test 90
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 562 289 125 165 398 398 782 31... |
correct output |
---|
349500395 |
user output |
---|
(empty) |
Test 91
Verdict: TIME LIMIT EXCEEDED
input |
---|
500 3 4 1 10 8 5 5 4 6 4 8 9 9 9 8... |
correct output |
---|
35153 |
user output |
---|
(empty) |