Submission #209561

# Submission time Handle Problem Language Result Execution time Memory
209561 2020-03-14T15:06:51 Z oolimry Aliens (IOI16_aliens) C++14
100 / 100
236 ms 8036 KB
#include "aliens.h"
#include <bits/stdc++.h>
using namespace std;

typedef pair<long long, long long> ii;
vector<ii> allRanges; ///all the ranges
vector<ii> arr; ///non-overalping ranges we need to consider

inline long long square(long long x){ return x * x; }

bool comp(ii a, ii b){
	if(a.first == b.first) return a.second > b.second;
	return a.first < b.first;
}

struct Line{ long long m, c, taken; };

inline long double intersect(Line a, Line b){
	return (long double) (b.c - a.c) / (long double) (a.m - b.m);
}

struct ConvexHull{
	Line hull[100005];
	int l = 0, r = -1;
	
	void reset(){
		l = 0, r = -1;
	}
	
	///take as many if tie by cost
	bool redundantBack(){
		if(r - l < 2) return false;
		if(abs(intersect(hull[r],hull[r-1]) - intersect(hull[r-2],hull[r])) <= 0.00000001) return hull[r].taken > hull[r-1].taken; 
		return intersect(hull[r-1],hull[r-2]) > intersect(hull[r],hull[r-2]);
	}
	
	///return the best value, and also how many ranges taken
	ii getBest(long long k){		
		while(r - l > 0 && intersect(hull[l],hull[l+1]) < (long double) k) l++;
		long long ans = (hull[l].m * k + hull[l].c);
		return ii(ans, hull[l].taken);
	}
	
	void addLine(long long m, long long c, long long taken){		
		if(r - l < 0 || hull[r].m > m) hull[++r] = {m,c,taken};
		else if(hull[r].c > c) hull[r] = {m,c,taken};
		else if(hull[r].c == c && hull[r].taken < taken) hull[r] = {m,c,taken}; ///tiebreak by no. taken
		
		while(redundantBack()){
			hull[r-1] = hull[r];
			r--;
		}
	}
	
	
} ch;


///This is the dp part. There is no restriction on the number of ranges.
///However, the dp value increases by cost for every range taken.
///This returns the optimum value and the max no. of ranges taken for that value of cost
inline ii monge(long long cost){
	ch.reset();
	ch.addLine(-2LL * arr[0].first, square(arr[0].first), 1); ///option for taking from the start
	
	ii dp; ///ii(bestAns, taken)
	for(int i = 0;i < (int) arr.size();i++){
		ii x = arr[i];
		dp = ch.getBest(x.second);
		dp.first += square(x.second);
		dp.first += cost; ///add a cost for taking a range
		
		if(i != (int) arr.size() - 1){
			long long gradient = -2 * arr[i+1].first;
			long long yIntercept = dp.first - square(max(0LL, arr[i].second - arr[i+1].first)) + square(arr[i+1].first);
			
			ch.addLine(gradient, yIntercept, dp.second + 1);
		}
	}
	
	return dp;
}

long long take_photos(int n, int m, int K, vector<int> L, vector<int> R) {

	for(int i = 0;i < n;i++){
		if(L[i] > R[i]) swap(L[i], R[i]);
		allRanges.push_back(ii(L[i],R[i]));
	}
	
	///sort the ranges
	sort(allRanges.begin(),allRanges.end(),comp);
	
	///remove all ranges which are fully contained in another
	int maxR = -1;
	for(ii r : allRanges){
		if(r.second > maxR){
			maxR = r.second;
			arr.push_back(ii(r.first,r.second+1));
		} 
	}
	
	if(arr.size() == 1){
		return square(arr[0].second - arr[0].first);
	}
		
	long long low = -1;
	long long high = square(m);
	
	///Let f(k) be the answer to the problem where k is the no. of ranges we take
	///f is concave upwards [f(i) - f(i+1) <= f(i-1) - f(i)], diminishing returns
	///Hence, if we let g(k) = f(k) + k * cost, then g(k) has a local minimum where gradient of f(k) = C
	///As C increases, the local minimum point decreases (greater cost -> take fewer ranges)
	///We can binary search the value of C such that the local minimum point occurs at K given in the qn
	while(true){
		if(low == high - 1) break;
		long long s = (low + high) / 2LL;
		
		if(monge(s).second <= K) high = s;
		else low = s;
	}
	
	///We need to do linear interpolation since the function is not strictly concave up
	ii ansHigh = monge(high);
	long long ans = ansHigh.first - K * high;
	
    return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Correct answer: answer = 4
2 Correct 5 ms 248 KB Correct answer: answer = 4
3 Correct 5 ms 376 KB Correct answer: answer = 4
4 Correct 5 ms 376 KB Correct answer: answer = 12
5 Correct 5 ms 376 KB Correct answer: answer = 52
6 Correct 5 ms 376 KB Correct answer: answer = 210
7 Correct 5 ms 376 KB Correct answer: answer = 88
8 Correct 5 ms 376 KB Correct answer: answer = 7696
9 Correct 5 ms 376 KB Correct answer: answer = 1
10 Correct 6 ms 376 KB Correct answer: answer = 2374
11 Correct 5 ms 376 KB Correct answer: answer = 9502
12 Correct 5 ms 376 KB Correct answer: answer = 49
13 Correct 5 ms 376 KB Correct answer: answer = 151
14 Correct 5 ms 376 KB Correct answer: answer = 7550
15 Correct 5 ms 376 KB Correct answer: answer = 7220
16 Correct 5 ms 376 KB Correct answer: answer = 7550
17 Correct 5 ms 376 KB Correct answer: answer = 10000
18 Correct 5 ms 376 KB Correct answer: answer = 10000
19 Correct 5 ms 256 KB Correct answer: answer = 624
20 Correct 5 ms 376 KB Correct answer: answer = 10000
# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Correct answer: answer = 1
2 Correct 5 ms 376 KB Correct answer: answer = 4
3 Correct 5 ms 380 KB Correct answer: answer = 1
4 Correct 5 ms 380 KB Correct answer: answer = 5
5 Correct 5 ms 376 KB Correct answer: answer = 41
6 Correct 5 ms 376 KB Correct answer: answer = 71923
7 Correct 5 ms 376 KB Correct answer: answer = 77137
8 Correct 5 ms 376 KB Correct answer: answer = 764
9 Correct 5 ms 376 KB Correct answer: answer = 250000
10 Correct 5 ms 376 KB Correct answer: answer = 500
11 Correct 5 ms 376 KB Correct answer: answer = 32
12 Correct 6 ms 376 KB Correct answer: answer = 130050
13 Correct 5 ms 376 KB Correct answer: answer = 5110
14 Correct 5 ms 376 KB Correct answer: answer = 2626
15 Correct 5 ms 376 KB Correct answer: answer = 796
16 Correct 5 ms 376 KB Correct answer: answer = 7580
17 Correct 5 ms 376 KB Correct answer: answer = 1904
18 Correct 5 ms 376 KB Correct answer: answer = 996004
19 Correct 5 ms 376 KB Correct answer: answer = 38817
20 Correct 6 ms 376 KB Correct answer: answer = 4096
21 Correct 5 ms 376 KB Correct answer: answer = 1
22 Correct 5 ms 376 KB Correct answer: answer = 1
23 Correct 5 ms 376 KB Correct answer: answer = 2040
24 Correct 5 ms 376 KB Correct answer: answer = 2
# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Correct answer: answer = 4
2 Correct 5 ms 248 KB Correct answer: answer = 4
3 Correct 5 ms 376 KB Correct answer: answer = 4
4 Correct 5 ms 376 KB Correct answer: answer = 12
5 Correct 5 ms 376 KB Correct answer: answer = 52
6 Correct 5 ms 376 KB Correct answer: answer = 210
7 Correct 5 ms 376 KB Correct answer: answer = 88
8 Correct 5 ms 376 KB Correct answer: answer = 7696
9 Correct 5 ms 376 KB Correct answer: answer = 1
10 Correct 6 ms 376 KB Correct answer: answer = 2374
11 Correct 5 ms 376 KB Correct answer: answer = 9502
12 Correct 5 ms 376 KB Correct answer: answer = 49
13 Correct 5 ms 376 KB Correct answer: answer = 151
14 Correct 5 ms 376 KB Correct answer: answer = 7550
15 Correct 5 ms 376 KB Correct answer: answer = 7220
16 Correct 5 ms 376 KB Correct answer: answer = 7550
17 Correct 5 ms 376 KB Correct answer: answer = 10000
18 Correct 5 ms 376 KB Correct answer: answer = 10000
19 Correct 5 ms 256 KB Correct answer: answer = 624
20 Correct 5 ms 376 KB Correct answer: answer = 10000
21 Correct 5 ms 256 KB Correct answer: answer = 1
22 Correct 5 ms 376 KB Correct answer: answer = 4
23 Correct 5 ms 380 KB Correct answer: answer = 1
24 Correct 5 ms 380 KB Correct answer: answer = 5
25 Correct 5 ms 376 KB Correct answer: answer = 41
26 Correct 5 ms 376 KB Correct answer: answer = 71923
27 Correct 5 ms 376 KB Correct answer: answer = 77137
28 Correct 5 ms 376 KB Correct answer: answer = 764
29 Correct 5 ms 376 KB Correct answer: answer = 250000
30 Correct 5 ms 376 KB Correct answer: answer = 500
31 Correct 5 ms 376 KB Correct answer: answer = 32
32 Correct 6 ms 376 KB Correct answer: answer = 130050
33 Correct 5 ms 376 KB Correct answer: answer = 5110
34 Correct 5 ms 376 KB Correct answer: answer = 2626
35 Correct 5 ms 376 KB Correct answer: answer = 796
36 Correct 5 ms 376 KB Correct answer: answer = 7580
37 Correct 5 ms 376 KB Correct answer: answer = 1904
38 Correct 5 ms 376 KB Correct answer: answer = 996004
39 Correct 5 ms 376 KB Correct answer: answer = 38817
40 Correct 6 ms 376 KB Correct answer: answer = 4096
41 Correct 5 ms 376 KB Correct answer: answer = 1
42 Correct 5 ms 376 KB Correct answer: answer = 1
43 Correct 5 ms 376 KB Correct answer: answer = 2040
44 Correct 5 ms 376 KB Correct answer: answer = 2
45 Correct 5 ms 376 KB Correct answer: answer = 4
46 Correct 5 ms 376 KB Correct answer: answer = 9
47 Correct 5 ms 256 KB Correct answer: answer = 9
48 Correct 5 ms 376 KB Correct answer: answer = 21
49 Correct 5 ms 376 KB Correct answer: answer = 71
50 Correct 5 ms 376 KB Correct answer: answer = 77
51 Correct 5 ms 376 KB Correct answer: answer = 400
52 Correct 5 ms 376 KB Correct answer: answer = 996004
53 Correct 5 ms 380 KB Correct answer: answer = 997310
54 Correct 5 ms 376 KB Correct answer: answer = 990781
55 Correct 5 ms 376 KB Correct answer: answer = 996545
56 Correct 5 ms 380 KB Correct answer: answer = 484
57 Correct 5 ms 376 KB Correct answer: answer = 484
58 Correct 5 ms 376 KB Correct answer: answer = 63501
59 Correct 5 ms 376 KB Correct answer: answer = 323501
60 Correct 5 ms 376 KB Correct answer: answer = 752500
61 Correct 5 ms 376 KB Correct answer: answer = 761480
62 Correct 5 ms 376 KB Correct answer: answer = 758932
63 Correct 5 ms 376 KB Correct answer: answer = 1000000
64 Correct 5 ms 376 KB Correct answer: answer = 750500
65 Correct 5 ms 376 KB Correct answer: answer = 1000000
66 Correct 5 ms 376 KB Correct answer: answer = 250000
67 Correct 5 ms 376 KB Correct answer: answer = 250000
68 Correct 5 ms 376 KB Correct answer: answer = 1000000
69 Correct 5 ms 376 KB Correct answer: answer = 994009
70 Correct 5 ms 376 KB Correct answer: answer = 59315
71 Correct 5 ms 376 KB Correct answer: answer = 25454
72 Correct 5 ms 376 KB Correct answer: answer = 1504
73 Correct 5 ms 376 KB Correct answer: answer = 37486
74 Correct 5 ms 376 KB Correct answer: answer = 4284
75 Correct 5 ms 376 KB Correct answer: answer = 158008
76 Correct 5 ms 376 KB Correct answer: answer = 51860
77 Correct 5 ms 376 KB Correct answer: answer = 12985
# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Correct answer: answer = 4
2 Correct 5 ms 248 KB Correct answer: answer = 4
3 Correct 5 ms 376 KB Correct answer: answer = 4
4 Correct 5 ms 376 KB Correct answer: answer = 12
5 Correct 5 ms 376 KB Correct answer: answer = 52
6 Correct 5 ms 376 KB Correct answer: answer = 210
7 Correct 5 ms 376 KB Correct answer: answer = 88
8 Correct 5 ms 376 KB Correct answer: answer = 7696
9 Correct 5 ms 376 KB Correct answer: answer = 1
10 Correct 6 ms 376 KB Correct answer: answer = 2374
11 Correct 5 ms 376 KB Correct answer: answer = 9502
12 Correct 5 ms 376 KB Correct answer: answer = 49
13 Correct 5 ms 376 KB Correct answer: answer = 151
14 Correct 5 ms 376 KB Correct answer: answer = 7550
15 Correct 5 ms 376 KB Correct answer: answer = 7220
16 Correct 5 ms 376 KB Correct answer: answer = 7550
17 Correct 5 ms 376 KB Correct answer: answer = 10000
18 Correct 5 ms 376 KB Correct answer: answer = 10000
19 Correct 5 ms 256 KB Correct answer: answer = 624
20 Correct 5 ms 376 KB Correct answer: answer = 10000
21 Correct 5 ms 256 KB Correct answer: answer = 1
22 Correct 5 ms 376 KB Correct answer: answer = 4
23 Correct 5 ms 380 KB Correct answer: answer = 1
24 Correct 5 ms 380 KB Correct answer: answer = 5
25 Correct 5 ms 376 KB Correct answer: answer = 41
26 Correct 5 ms 376 KB Correct answer: answer = 71923
27 Correct 5 ms 376 KB Correct answer: answer = 77137
28 Correct 5 ms 376 KB Correct answer: answer = 764
29 Correct 5 ms 376 KB Correct answer: answer = 250000
30 Correct 5 ms 376 KB Correct answer: answer = 500
31 Correct 5 ms 376 KB Correct answer: answer = 32
32 Correct 6 ms 376 KB Correct answer: answer = 130050
33 Correct 5 ms 376 KB Correct answer: answer = 5110
34 Correct 5 ms 376 KB Correct answer: answer = 2626
35 Correct 5 ms 376 KB Correct answer: answer = 796
36 Correct 5 ms 376 KB Correct answer: answer = 7580
37 Correct 5 ms 376 KB Correct answer: answer = 1904
38 Correct 5 ms 376 KB Correct answer: answer = 996004
39 Correct 5 ms 376 KB Correct answer: answer = 38817
40 Correct 6 ms 376 KB Correct answer: answer = 4096
41 Correct 5 ms 376 KB Correct answer: answer = 1
42 Correct 5 ms 376 KB Correct answer: answer = 1
43 Correct 5 ms 376 KB Correct answer: answer = 2040
44 Correct 5 ms 376 KB Correct answer: answer = 2
45 Correct 5 ms 376 KB Correct answer: answer = 4
46 Correct 5 ms 376 KB Correct answer: answer = 9
47 Correct 5 ms 256 KB Correct answer: answer = 9
48 Correct 5 ms 376 KB Correct answer: answer = 21
49 Correct 5 ms 376 KB Correct answer: answer = 71
50 Correct 5 ms 376 KB Correct answer: answer = 77
51 Correct 5 ms 376 KB Correct answer: answer = 400
52 Correct 5 ms 376 KB Correct answer: answer = 996004
53 Correct 5 ms 380 KB Correct answer: answer = 997310
54 Correct 5 ms 376 KB Correct answer: answer = 990781
55 Correct 5 ms 376 KB Correct answer: answer = 996545
56 Correct 5 ms 380 KB Correct answer: answer = 484
57 Correct 5 ms 376 KB Correct answer: answer = 484
58 Correct 5 ms 376 KB Correct answer: answer = 63501
59 Correct 5 ms 376 KB Correct answer: answer = 323501
60 Correct 5 ms 376 KB Correct answer: answer = 752500
61 Correct 5 ms 376 KB Correct answer: answer = 761480
62 Correct 5 ms 376 KB Correct answer: answer = 758932
63 Correct 5 ms 376 KB Correct answer: answer = 1000000
64 Correct 5 ms 376 KB Correct answer: answer = 750500
65 Correct 5 ms 376 KB Correct answer: answer = 1000000
66 Correct 5 ms 376 KB Correct answer: answer = 250000
67 Correct 5 ms 376 KB Correct answer: answer = 250000
68 Correct 5 ms 376 KB Correct answer: answer = 1000000
69 Correct 5 ms 376 KB Correct answer: answer = 994009
70 Correct 5 ms 376 KB Correct answer: answer = 59315
71 Correct 5 ms 376 KB Correct answer: answer = 25454
72 Correct 5 ms 376 KB Correct answer: answer = 1504
73 Correct 5 ms 376 KB Correct answer: answer = 37486
74 Correct 5 ms 376 KB Correct answer: answer = 4284
75 Correct 5 ms 376 KB Correct answer: answer = 158008
76 Correct 5 ms 376 KB Correct answer: answer = 51860
77 Correct 5 ms 376 KB Correct answer: answer = 12985
78 Correct 7 ms 508 KB Correct answer: answer = 997864126212
79 Correct 6 ms 504 KB Correct answer: answer = 998608411647
80 Correct 6 ms 504 KB Correct answer: answer = 995265560477
81 Correct 9 ms 632 KB Correct answer: answer = 10125000
82 Correct 9 ms 632 KB Correct answer: answer = 2291668
83 Correct 7 ms 504 KB Correct answer: answer = 42388
84 Correct 7 ms 504 KB Correct answer: answer = 10318
85 Correct 7 ms 504 KB Correct answer: answer = 3416
86 Correct 14 ms 632 KB Correct answer: answer = 331708193881
87 Correct 14 ms 632 KB Correct answer: answer = 2861193756
88 Correct 14 ms 760 KB Correct answer: answer = 114646930
89 Correct 9 ms 632 KB Correct answer: answer = 9280921
90 Correct 10 ms 764 KB Correct answer: answer = 999984053400
91 Correct 14 ms 632 KB Correct answer: answer = 750935949134
92 Correct 6 ms 504 KB Correct answer: answer = 1000000000000
93 Correct 6 ms 504 KB Correct answer: answer = 998762383161
94 Correct 14 ms 632 KB Correct answer: answer = 23017412908
95 Correct 6 ms 504 KB Correct answer: answer = 728143410622
96 Correct 6 ms 504 KB Correct answer: answer = 2
97 Correct 11 ms 632 KB Correct answer: answer = 1824916
98 Correct 12 ms 632 KB Correct answer: answer = 10680029
99 Correct 11 ms 760 KB Correct answer: answer = 18351700
100 Correct 11 ms 632 KB Correct answer: answer = 16040026
101 Correct 7 ms 504 KB Correct answer: answer = 253968628325
102 Correct 8 ms 532 KB Correct answer: answer = 10267
103 Correct 11 ms 760 KB Correct answer: answer = 2582408
104 Correct 6 ms 504 KB Correct answer: answer = 78024964781
105 Correct 7 ms 504 KB Correct answer: answer = 9866346457
106 Correct 7 ms 504 KB Correct answer: answer = 3327720949
107 Correct 7 ms 632 KB Correct answer: answer = 86064128360
108 Correct 7 ms 632 KB Correct answer: answer = 12698259150
109 Correct 9 ms 632 KB Correct answer: answer = 1185259288
# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Correct answer: answer = 4
2 Correct 5 ms 248 KB Correct answer: answer = 4
3 Correct 5 ms 376 KB Correct answer: answer = 4
4 Correct 5 ms 376 KB Correct answer: answer = 12
5 Correct 5 ms 376 KB Correct answer: answer = 52
6 Correct 5 ms 376 KB Correct answer: answer = 210
7 Correct 5 ms 376 KB Correct answer: answer = 88
8 Correct 5 ms 376 KB Correct answer: answer = 7696
9 Correct 5 ms 376 KB Correct answer: answer = 1
10 Correct 6 ms 376 KB Correct answer: answer = 2374
11 Correct 5 ms 376 KB Correct answer: answer = 9502
12 Correct 5 ms 376 KB Correct answer: answer = 49
13 Correct 5 ms 376 KB Correct answer: answer = 151
14 Correct 5 ms 376 KB Correct answer: answer = 7550
15 Correct 5 ms 376 KB Correct answer: answer = 7220
16 Correct 5 ms 376 KB Correct answer: answer = 7550
17 Correct 5 ms 376 KB Correct answer: answer = 10000
18 Correct 5 ms 376 KB Correct answer: answer = 10000
19 Correct 5 ms 256 KB Correct answer: answer = 624
20 Correct 5 ms 376 KB Correct answer: answer = 10000
21 Correct 5 ms 256 KB Correct answer: answer = 1
22 Correct 5 ms 376 KB Correct answer: answer = 4
23 Correct 5 ms 380 KB Correct answer: answer = 1
24 Correct 5 ms 380 KB Correct answer: answer = 5
25 Correct 5 ms 376 KB Correct answer: answer = 41
26 Correct 5 ms 376 KB Correct answer: answer = 71923
27 Correct 5 ms 376 KB Correct answer: answer = 77137
28 Correct 5 ms 376 KB Correct answer: answer = 764
29 Correct 5 ms 376 KB Correct answer: answer = 250000
30 Correct 5 ms 376 KB Correct answer: answer = 500
31 Correct 5 ms 376 KB Correct answer: answer = 32
32 Correct 6 ms 376 KB Correct answer: answer = 130050
33 Correct 5 ms 376 KB Correct answer: answer = 5110
34 Correct 5 ms 376 KB Correct answer: answer = 2626
35 Correct 5 ms 376 KB Correct answer: answer = 796
36 Correct 5 ms 376 KB Correct answer: answer = 7580
37 Correct 5 ms 376 KB Correct answer: answer = 1904
38 Correct 5 ms 376 KB Correct answer: answer = 996004
39 Correct 5 ms 376 KB Correct answer: answer = 38817
40 Correct 6 ms 376 KB Correct answer: answer = 4096
41 Correct 5 ms 376 KB Correct answer: answer = 1
42 Correct 5 ms 376 KB Correct answer: answer = 1
43 Correct 5 ms 376 KB Correct answer: answer = 2040
44 Correct 5 ms 376 KB Correct answer: answer = 2
45 Correct 5 ms 376 KB Correct answer: answer = 4
46 Correct 5 ms 376 KB Correct answer: answer = 9
47 Correct 5 ms 256 KB Correct answer: answer = 9
48 Correct 5 ms 376 KB Correct answer: answer = 21
49 Correct 5 ms 376 KB Correct answer: answer = 71
50 Correct 5 ms 376 KB Correct answer: answer = 77
51 Correct 5 ms 376 KB Correct answer: answer = 400
52 Correct 5 ms 376 KB Correct answer: answer = 996004
53 Correct 5 ms 380 KB Correct answer: answer = 997310
54 Correct 5 ms 376 KB Correct answer: answer = 990781
55 Correct 5 ms 376 KB Correct answer: answer = 996545
56 Correct 5 ms 380 KB Correct answer: answer = 484
57 Correct 5 ms 376 KB Correct answer: answer = 484
58 Correct 5 ms 376 KB Correct answer: answer = 63501
59 Correct 5 ms 376 KB Correct answer: answer = 323501
60 Correct 5 ms 376 KB Correct answer: answer = 752500
61 Correct 5 ms 376 KB Correct answer: answer = 761480
62 Correct 5 ms 376 KB Correct answer: answer = 758932
63 Correct 5 ms 376 KB Correct answer: answer = 1000000
64 Correct 5 ms 376 KB Correct answer: answer = 750500
65 Correct 5 ms 376 KB Correct answer: answer = 1000000
66 Correct 5 ms 376 KB Correct answer: answer = 250000
67 Correct 5 ms 376 KB Correct answer: answer = 250000
68 Correct 5 ms 376 KB Correct answer: answer = 1000000
69 Correct 5 ms 376 KB Correct answer: answer = 994009
70 Correct 5 ms 376 KB Correct answer: answer = 59315
71 Correct 5 ms 376 KB Correct answer: answer = 25454
72 Correct 5 ms 376 KB Correct answer: answer = 1504
73 Correct 5 ms 376 KB Correct answer: answer = 37486
74 Correct 5 ms 376 KB Correct answer: answer = 4284
75 Correct 5 ms 376 KB Correct answer: answer = 158008
76 Correct 5 ms 376 KB Correct answer: answer = 51860
77 Correct 5 ms 376 KB Correct answer: answer = 12985
78 Correct 7 ms 508 KB Correct answer: answer = 997864126212
79 Correct 6 ms 504 KB Correct answer: answer = 998608411647
80 Correct 6 ms 504 KB Correct answer: answer = 995265560477
81 Correct 9 ms 632 KB Correct answer: answer = 10125000
82 Correct 9 ms 632 KB Correct answer: answer = 2291668
83 Correct 7 ms 504 KB Correct answer: answer = 42388
84 Correct 7 ms 504 KB Correct answer: answer = 10318
85 Correct 7 ms 504 KB Correct answer: answer = 3416
86 Correct 14 ms 632 KB Correct answer: answer = 331708193881
87 Correct 14 ms 632 KB Correct answer: answer = 2861193756
88 Correct 14 ms 760 KB Correct answer: answer = 114646930
89 Correct 9 ms 632 KB Correct answer: answer = 9280921
90 Correct 10 ms 764 KB Correct answer: answer = 999984053400
91 Correct 14 ms 632 KB Correct answer: answer = 750935949134
92 Correct 6 ms 504 KB Correct answer: answer = 1000000000000
93 Correct 6 ms 504 KB Correct answer: answer = 998762383161
94 Correct 14 ms 632 KB Correct answer: answer = 23017412908
95 Correct 6 ms 504 KB Correct answer: answer = 728143410622
96 Correct 6 ms 504 KB Correct answer: answer = 2
97 Correct 11 ms 632 KB Correct answer: answer = 1824916
98 Correct 12 ms 632 KB Correct answer: answer = 10680029
99 Correct 11 ms 760 KB Correct answer: answer = 18351700
100 Correct 11 ms 632 KB Correct answer: answer = 16040026
101 Correct 7 ms 504 KB Correct answer: answer = 253968628325
102 Correct 8 ms 532 KB Correct answer: answer = 10267
103 Correct 11 ms 760 KB Correct answer: answer = 2582408
104 Correct 6 ms 504 KB Correct answer: answer = 78024964781
105 Correct 7 ms 504 KB Correct answer: answer = 9866346457
106 Correct 7 ms 504 KB Correct answer: answer = 3327720949
107 Correct 7 ms 632 KB Correct answer: answer = 86064128360
108 Correct 7 ms 632 KB Correct answer: answer = 12698259150
109 Correct 9 ms 632 KB Correct answer: answer = 1185259288
110 Correct 27 ms 2672 KB Correct answer: answer = 999889968863
111 Correct 27 ms 2672 KB Correct answer: answer = 999861384931
112 Correct 27 ms 2672 KB Correct answer: answer = 999811809929
113 Correct 27 ms 2672 KB Correct answer: answer = 999869756441
114 Correct 76 ms 3820 KB Correct answer: answer = 1700000000
115 Correct 73 ms 4200 KB Correct answer: answer = 131666670
116 Correct 22 ms 1652 KB Correct answer: answer = 89478486
117 Correct 24 ms 1780 KB Correct answer: answer = 4971040
118 Correct 22 ms 1780 KB Correct answer: answer = 2711494
119 Correct 75 ms 4340 KB Correct answer: answer = 25252530
120 Correct 63 ms 4328 KB Correct answer: answer = 62500000
121 Correct 117 ms 3820 KB Correct answer: answer = 333175097780
122 Correct 125 ms 3820 KB Correct answer: answer = 33121180179
123 Correct 126 ms 3820 KB Correct answer: answer = 9802314015
124 Correct 70 ms 4332 KB Correct answer: answer = 32567551
125 Correct 80 ms 4328 KB Correct answer: answer = 997525000000
126 Correct 119 ms 3820 KB Correct answer: answer = 752723538884
127 Correct 21 ms 2672 KB Correct answer: answer = 1000000000000
128 Correct 26 ms 2672 KB Correct answer: answer = 999978000121
129 Correct 27 ms 2672 KB Correct answer: answer = 745986144735
130 Correct 17 ms 2416 KB Correct answer: answer = 2
131 Correct 83 ms 4200 KB Correct answer: answer = 277966670
132 Correct 83 ms 3840 KB Correct answer: answer = 2500900082
133 Correct 36 ms 2672 KB Correct answer: answer = 301248349636
134 Correct 53 ms 2156 KB Correct answer: answer = 14118891
135 Correct 27 ms 2672 KB Correct answer: answer = 14384977265
136 Correct 28 ms 2672 KB Correct answer: answer = 3681368330
137 Correct 29 ms 2672 KB Correct answer: answer = 2720316816
# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Correct answer: answer = 4
2 Correct 5 ms 248 KB Correct answer: answer = 4
3 Correct 5 ms 376 KB Correct answer: answer = 4
4 Correct 5 ms 376 KB Correct answer: answer = 12
5 Correct 5 ms 376 KB Correct answer: answer = 52
6 Correct 5 ms 376 KB Correct answer: answer = 210
7 Correct 5 ms 376 KB Correct answer: answer = 88
8 Correct 5 ms 376 KB Correct answer: answer = 7696
9 Correct 5 ms 376 KB Correct answer: answer = 1
10 Correct 6 ms 376 KB Correct answer: answer = 2374
11 Correct 5 ms 376 KB Correct answer: answer = 9502
12 Correct 5 ms 376 KB Correct answer: answer = 49
13 Correct 5 ms 376 KB Correct answer: answer = 151
14 Correct 5 ms 376 KB Correct answer: answer = 7550
15 Correct 5 ms 376 KB Correct answer: answer = 7220
16 Correct 5 ms 376 KB Correct answer: answer = 7550
17 Correct 5 ms 376 KB Correct answer: answer = 10000
18 Correct 5 ms 376 KB Correct answer: answer = 10000
19 Correct 5 ms 256 KB Correct answer: answer = 624
20 Correct 5 ms 376 KB Correct answer: answer = 10000
21 Correct 5 ms 256 KB Correct answer: answer = 1
22 Correct 5 ms 376 KB Correct answer: answer = 4
23 Correct 5 ms 380 KB Correct answer: answer = 1
24 Correct 5 ms 380 KB Correct answer: answer = 5
25 Correct 5 ms 376 KB Correct answer: answer = 41
26 Correct 5 ms 376 KB Correct answer: answer = 71923
27 Correct 5 ms 376 KB Correct answer: answer = 77137
28 Correct 5 ms 376 KB Correct answer: answer = 764
29 Correct 5 ms 376 KB Correct answer: answer = 250000
30 Correct 5 ms 376 KB Correct answer: answer = 500
31 Correct 5 ms 376 KB Correct answer: answer = 32
32 Correct 6 ms 376 KB Correct answer: answer = 130050
33 Correct 5 ms 376 KB Correct answer: answer = 5110
34 Correct 5 ms 376 KB Correct answer: answer = 2626
35 Correct 5 ms 376 KB Correct answer: answer = 796
36 Correct 5 ms 376 KB Correct answer: answer = 7580
37 Correct 5 ms 376 KB Correct answer: answer = 1904
38 Correct 5 ms 376 KB Correct answer: answer = 996004
39 Correct 5 ms 376 KB Correct answer: answer = 38817
40 Correct 6 ms 376 KB Correct answer: answer = 4096
41 Correct 5 ms 376 KB Correct answer: answer = 1
42 Correct 5 ms 376 KB Correct answer: answer = 1
43 Correct 5 ms 376 KB Correct answer: answer = 2040
44 Correct 5 ms 376 KB Correct answer: answer = 2
45 Correct 5 ms 376 KB Correct answer: answer = 4
46 Correct 5 ms 376 KB Correct answer: answer = 9
47 Correct 5 ms 256 KB Correct answer: answer = 9
48 Correct 5 ms 376 KB Correct answer: answer = 21
49 Correct 5 ms 376 KB Correct answer: answer = 71
50 Correct 5 ms 376 KB Correct answer: answer = 77
51 Correct 5 ms 376 KB Correct answer: answer = 400
52 Correct 5 ms 376 KB Correct answer: answer = 996004
53 Correct 5 ms 380 KB Correct answer: answer = 997310
54 Correct 5 ms 376 KB Correct answer: answer = 990781
55 Correct 5 ms 376 KB Correct answer: answer = 996545
56 Correct 5 ms 380 KB Correct answer: answer = 484
57 Correct 5 ms 376 KB Correct answer: answer = 484
58 Correct 5 ms 376 KB Correct answer: answer = 63501
59 Correct 5 ms 376 KB Correct answer: answer = 323501
60 Correct 5 ms 376 KB Correct answer: answer = 752500
61 Correct 5 ms 376 KB Correct answer: answer = 761480
62 Correct 5 ms 376 KB Correct answer: answer = 758932
63 Correct 5 ms 376 KB Correct answer: answer = 1000000
64 Correct 5 ms 376 KB Correct answer: answer = 750500
65 Correct 5 ms 376 KB Correct answer: answer = 1000000
66 Correct 5 ms 376 KB Correct answer: answer = 250000
67 Correct 5 ms 376 KB Correct answer: answer = 250000
68 Correct 5 ms 376 KB Correct answer: answer = 1000000
69 Correct 5 ms 376 KB Correct answer: answer = 994009
70 Correct 5 ms 376 KB Correct answer: answer = 59315
71 Correct 5 ms 376 KB Correct answer: answer = 25454
72 Correct 5 ms 376 KB Correct answer: answer = 1504
73 Correct 5 ms 376 KB Correct answer: answer = 37486
74 Correct 5 ms 376 KB Correct answer: answer = 4284
75 Correct 5 ms 376 KB Correct answer: answer = 158008
76 Correct 5 ms 376 KB Correct answer: answer = 51860
77 Correct 5 ms 376 KB Correct answer: answer = 12985
78 Correct 7 ms 508 KB Correct answer: answer = 997864126212
79 Correct 6 ms 504 KB Correct answer: answer = 998608411647
80 Correct 6 ms 504 KB Correct answer: answer = 995265560477
81 Correct 9 ms 632 KB Correct answer: answer = 10125000
82 Correct 9 ms 632 KB Correct answer: answer = 2291668
83 Correct 7 ms 504 KB Correct answer: answer = 42388
84 Correct 7 ms 504 KB Correct answer: answer = 10318
85 Correct 7 ms 504 KB Correct answer: answer = 3416
86 Correct 14 ms 632 KB Correct answer: answer = 331708193881
87 Correct 14 ms 632 KB Correct answer: answer = 2861193756
88 Correct 14 ms 760 KB Correct answer: answer = 114646930
89 Correct 9 ms 632 KB Correct answer: answer = 9280921
90 Correct 10 ms 764 KB Correct answer: answer = 999984053400
91 Correct 14 ms 632 KB Correct answer: answer = 750935949134
92 Correct 6 ms 504 KB Correct answer: answer = 1000000000000
93 Correct 6 ms 504 KB Correct answer: answer = 998762383161
94 Correct 14 ms 632 KB Correct answer: answer = 23017412908
95 Correct 6 ms 504 KB Correct answer: answer = 728143410622
96 Correct 6 ms 504 KB Correct answer: answer = 2
97 Correct 11 ms 632 KB Correct answer: answer = 1824916
98 Correct 12 ms 632 KB Correct answer: answer = 10680029
99 Correct 11 ms 760 KB Correct answer: answer = 18351700
100 Correct 11 ms 632 KB Correct answer: answer = 16040026
101 Correct 7 ms 504 KB Correct answer: answer = 253968628325
102 Correct 8 ms 532 KB Correct answer: answer = 10267
103 Correct 11 ms 760 KB Correct answer: answer = 2582408
104 Correct 6 ms 504 KB Correct answer: answer = 78024964781
105 Correct 7 ms 504 KB Correct answer: answer = 9866346457
106 Correct 7 ms 504 KB Correct answer: answer = 3327720949
107 Correct 7 ms 632 KB Correct answer: answer = 86064128360
108 Correct 7 ms 632 KB Correct answer: answer = 12698259150
109 Correct 9 ms 632 KB Correct answer: answer = 1185259288
110 Correct 27 ms 2672 KB Correct answer: answer = 999889968863
111 Correct 27 ms 2672 KB Correct answer: answer = 999861384931
112 Correct 27 ms 2672 KB Correct answer: answer = 999811809929
113 Correct 27 ms 2672 KB Correct answer: answer = 999869756441
114 Correct 76 ms 3820 KB Correct answer: answer = 1700000000
115 Correct 73 ms 4200 KB Correct answer: answer = 131666670
116 Correct 22 ms 1652 KB Correct answer: answer = 89478486
117 Correct 24 ms 1780 KB Correct answer: answer = 4971040
118 Correct 22 ms 1780 KB Correct answer: answer = 2711494
119 Correct 75 ms 4340 KB Correct answer: answer = 25252530
120 Correct 63 ms 4328 KB Correct answer: answer = 62500000
121 Correct 117 ms 3820 KB Correct answer: answer = 333175097780
122 Correct 125 ms 3820 KB Correct answer: answer = 33121180179
123 Correct 126 ms 3820 KB Correct answer: answer = 9802314015
124 Correct 70 ms 4332 KB Correct answer: answer = 32567551
125 Correct 80 ms 4328 KB Correct answer: answer = 997525000000
126 Correct 119 ms 3820 KB Correct answer: answer = 752723538884
127 Correct 21 ms 2672 KB Correct answer: answer = 1000000000000
128 Correct 26 ms 2672 KB Correct answer: answer = 999978000121
129 Correct 27 ms 2672 KB Correct answer: answer = 745986144735
130 Correct 17 ms 2416 KB Correct answer: answer = 2
131 Correct 83 ms 4200 KB Correct answer: answer = 277966670
132 Correct 83 ms 3840 KB Correct answer: answer = 2500900082
133 Correct 36 ms 2672 KB Correct answer: answer = 301248349636
134 Correct 53 ms 2156 KB Correct answer: answer = 14118891
135 Correct 27 ms 2672 KB Correct answer: answer = 14384977265
136 Correct 28 ms 2672 KB Correct answer: answer = 3681368330
137 Correct 29 ms 2672 KB Correct answer: answer = 2720316816
138 Correct 49 ms 4588 KB Correct answer: answer = 999976000144
139 Correct 50 ms 4460 KB Correct answer: answer = 999856102410
140 Correct 50 ms 4588 KB Correct answer: answer = 999958401531
141 Correct 51 ms 4460 KB Correct answer: answer = 999769649944
142 Correct 49 ms 4588 KB Correct answer: answer = 999874525918
143 Correct 153 ms 7016 KB Correct answer: answer = 6050000000
144 Correct 139 ms 7140 KB Correct answer: answer = 1112500000
145 Correct 93 ms 4716 KB Correct answer: answer = 4294967296
146 Correct 89 ms 5352 KB Correct answer: answer = 87652406
147 Correct 80 ms 5612 KB Correct answer: answer = 6297664
148 Correct 83 ms 5608 KB Correct answer: answer = 196612
149 Correct 126 ms 8036 KB Correct answer: answer = 15015100
150 Correct 124 ms 8036 KB Correct answer: answer = 25000000
151 Correct 228 ms 7016 KB Correct answer: answer = 333230209550
152 Correct 236 ms 6912 KB Correct answer: answer = 917123769
153 Correct 213 ms 7780 KB Correct answer: answer = 95162
154 Correct 127 ms 7900 KB Correct answer: answer = 382616191
155 Correct 145 ms 7908 KB Correct answer: answer = 990033333400
156 Correct 144 ms 8000 KB Correct answer: answer = 990000100000
157 Correct 204 ms 7016 KB Correct answer: answer = 749998188180
158 Correct 37 ms 4588 KB Correct answer: answer = 1000000000000
159 Correct 49 ms 4588 KB Correct answer: answer = 999988000036
160 Correct 49 ms 4588 KB Correct answer: answer = 744929274393
161 Correct 29 ms 4460 KB Correct answer: answer = 2
162 Correct 148 ms 8036 KB Correct answer: answer = 1300024
163 Correct 155 ms 6888 KB Correct answer: answer = 5000700010
164 Correct 68 ms 4588 KB Correct answer: answer = 354997100800
165 Correct 99 ms 4204 KB Correct answer: answer = 257000
166 Correct 90 ms 4456 KB Correct answer: answer = 3765323
167 Correct 89 ms 4460 KB Correct answer: answer = 1525903
168 Correct 52 ms 4588 KB Correct answer: answer = 67618137730
169 Correct 49 ms 4588 KB Correct answer: answer = 12656680171
170 Correct 52 ms 4588 KB Correct answer: answer = 579831736
171 Correct 97 ms 5224 KB Correct answer: answer = 23605611
172 Correct 53 ms 4588 KB Correct answer: answer = 7052481200
173 Correct 62 ms 4712 KB Correct answer: answer = 1314039500
174 Correct 72 ms 5224 KB Correct answer: answer = 302484000
175 Correct 125 ms 6376 KB Correct answer: answer = 52348480