Submission #73181

# Submission time Handle Problem Language Result Execution time Memory
73181 2018-08-28T03:17:52 Z KieranHorgan Wiring (IOI17_wiring) C++17
100 / 100
361 ms 114864 KB
#pragma GCC optimize("O3")
#include "wiring.h"
#include <bits/stdc++.h>
using namespace std;
#define int long long
 
int n, m, ans;
vector<int> fullList;
unordered_map<int, bool> isRed, isBlue;
vector<vector<int>> segments;
vector<vector<int>> prefixR;
vector<vector<int>> prefixL;
 
int calcWire(int s, int l, int r) {
	int res = 0;
	res += prefixL[s][l];
	res += (segments[s].size()-l) * (segments[s+1][0]-segments[s].back());
	res += prefixR[s+1][r];
	res += (r+1) * (segments[s+1][0]-segments[s].back());
	res -= min((int)segments[s].size()-l, r+1)*(segments[s+1][0]-segments[s].back());
	return res;
}
 
int shash(int a, int b) {
	return a*1000000 + b;
}
unordered_map<int, int> dp;
 
long long min_total_length(vector<signed> r, vector<signed> b) {
	dp.reserve(32768); dp.max_load_factor(0.25);
	n = r.size();
	m = b.size();
	fullList.resize(n+m);
	merge(r.begin(), r.end(), b.begin(), b.end(), fullList.begin());
	for(auto x: r)
		isRed[x]=1;
	for(auto x: b)
		isBlue[x]=1;
 
	for(int i = 0; i < m+n; i++) {
		if(i==0 || isRed[fullList[i]] != isRed[fullList[i-1]]) {
			segments.push_back(vector<int>(0));
			prefixL.push_back(vector<int>(0));
			prefixR.push_back(vector<int>(0));
			segments.back().push_back(fullList[i]);
		} else {
			segments.back().push_back(fullList[i]);
		}
	}
 
	for(int s = 0; s < segments.size(); s++) {
		prefixR[s].push_back(0);
		for(int i = 1; i < segments[s].size(); i++)
			prefixR[s].push_back(prefixR[s][i-1]+segments[s][i]-segments[s][0]);
		reverse(segments[s].begin(), segments[s].end());
		prefixL[s].push_back(0);
		for(int i = 1; i < segments[s].size(); i++)
			prefixL[s].push_back(prefixL[s][i-1]+segments[s][0]-segments[s][i]);
		reverse(prefixL[s].begin(), prefixL[s].end());
		reverse(segments[s].begin(), segments[s].end());
	}
 
	for(int j = 0; j < segments[1].size(); j++) {
		dp[shash(1,j)] = calcWire(0, 0, j);
	}
	
	for(int s = 2; s < segments.size(); s++) {
		for(int i = 0; i < segments[s].size(); i++) {
			dp[shash(s, i)] = dp[shash(s-1, 0)] + calcWire(s-1, 0, i);
			if(dp[shash(s-2, segments[s-2].size()-1)] != 0)
				dp[shash(s, i)] = min(dp[shash(s, i)], dp[shash(s-2, segments[s-2].size()-1)] + calcWire(s-1, 0, i));
			int lo = 1, hi = max(1ll,(int)segments[s-1].size()-1), j, m1, m2, r1, r2;
			while(lo+1 < hi) {
				m1 = (lo+hi)/2;
				r1 = dp[shash(s-1, m1-1)] + calcWire(s-1, m1, i);
				m2 = m1+1;
				r2 = dp[shash(s-1, m2-1)] + calcWire(s-1, m2, i);
				if(r1==r2)
					lo = m1, hi = m2;
				else if(r1 < r2)
					hi = m2-1;
				else
					lo = m1+1;
			}
			dp[shash(s, i)] = min(dp[shash(s, i)], dp[shash(s-1, lo-1)] + calcWire(s-1, lo, i));
			dp[shash(s, i)] = min(dp[shash(s, i)], dp[shash(s-1, hi-1)] + calcWire(s-1, hi, i));
			// cerr << s << " " << i << ": " << dp[shash(s, i)] << endl;
		}
	}
 
 
	return dp[shash(segments.size()-1, segments.back().size()-1)];
	if(segments.size() == 2)
		return calcWire(0, 0, m-1);
	return -1;
}

Compilation message

wiring.cpp: In function 'long long int min_total_length(std::vector<int>, std::vector<int>)':
wiring.cpp:51:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int s = 0; s < segments.size(); s++) {
                 ~~^~~~~~~~~~~~~~~~~
wiring.cpp:53:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = 1; i < segments[s].size(); i++)
                  ~~^~~~~~~~~~~~~~~~~~~~
wiring.cpp:57:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = 1; i < segments[s].size(); i++)
                  ~~^~~~~~~~~~~~~~~~~~~~
wiring.cpp:63:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int j = 0; j < segments[1].size(); j++) {
                 ~~^~~~~~~~~~~~~~~~~~~~
wiring.cpp:67:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int s = 2; s < segments.size(); s++) {
                 ~~^~~~~~~~~~~~~~~~~
wiring.cpp:68:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = 0; i < segments[s].size(); i++) {
                  ~~^~~~~~~~~~~~~~~~~~~~
wiring.cpp:72:59: warning: unused variable 'j' [-Wunused-variable]
    int lo = 1, hi = max(1ll,(int)segments[s-1].size()-1), j, m1, m2, r1, r2;
                                                           ^
# Verdict Execution time Memory Grader output
1 Correct 3 ms 504 KB Output is correct
2 Correct 3 ms 612 KB Output is correct
3 Correct 3 ms 720 KB Output is correct
4 Correct 2 ms 772 KB Output is correct
5 Correct 3 ms 892 KB Output is correct
6 Correct 3 ms 912 KB Output is correct
7 Correct 3 ms 920 KB Output is correct
8 Correct 3 ms 920 KB Output is correct
9 Correct 2 ms 920 KB Output is correct
10 Correct 4 ms 920 KB Output is correct
11 Correct 3 ms 920 KB Output is correct
12 Correct 3 ms 920 KB Output is correct
13 Correct 3 ms 920 KB Output is correct
14 Correct 3 ms 924 KB Output is correct
15 Correct 2 ms 928 KB Output is correct
16 Correct 3 ms 932 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 936 KB Output is correct
2 Correct 3 ms 940 KB Output is correct
3 Correct 128 ms 19428 KB Output is correct
4 Correct 135 ms 19428 KB Output is correct
5 Correct 156 ms 25636 KB Output is correct
6 Correct 208 ms 29284 KB Output is correct
7 Correct 213 ms 29284 KB Output is correct
8 Correct 201 ms 29284 KB Output is correct
9 Correct 183 ms 29284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 29284 KB Output is correct
2 Correct 3 ms 29284 KB Output is correct
3 Correct 359 ms 46704 KB Output is correct
4 Correct 293 ms 46704 KB Output is correct
5 Correct 2 ms 46704 KB Output is correct
6 Correct 2 ms 46704 KB Output is correct
7 Correct 4 ms 46704 KB Output is correct
8 Correct 3 ms 46704 KB Output is correct
9 Correct 3 ms 46704 KB Output is correct
10 Correct 3 ms 46704 KB Output is correct
11 Correct 3 ms 46704 KB Output is correct
12 Correct 2 ms 46704 KB Output is correct
13 Correct 2 ms 46704 KB Output is correct
14 Correct 3 ms 46704 KB Output is correct
15 Correct 3 ms 46704 KB Output is correct
16 Correct 2 ms 46704 KB Output is correct
17 Correct 3 ms 46704 KB Output is correct
18 Correct 311 ms 50288 KB Output is correct
19 Correct 304 ms 52236 KB Output is correct
20 Correct 335 ms 52236 KB Output is correct
21 Correct 307 ms 56200 KB Output is correct
22 Correct 299 ms 57264 KB Output is correct
23 Correct 338 ms 59276 KB Output is correct
24 Correct 316 ms 61112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 61112 KB Output is correct
2 Correct 214 ms 61112 KB Output is correct
3 Correct 226 ms 61112 KB Output is correct
4 Correct 207 ms 61112 KB Output is correct
5 Correct 200 ms 61764 KB Output is correct
6 Correct 3 ms 61764 KB Output is correct
7 Correct 3 ms 61764 KB Output is correct
8 Correct 3 ms 61764 KB Output is correct
9 Correct 3 ms 61764 KB Output is correct
10 Correct 3 ms 61764 KB Output is correct
11 Correct 3 ms 61764 KB Output is correct
12 Correct 2 ms 61764 KB Output is correct
13 Correct 2 ms 61764 KB Output is correct
14 Correct 3 ms 61764 KB Output is correct
15 Correct 2 ms 61764 KB Output is correct
16 Correct 3 ms 61764 KB Output is correct
17 Correct 3 ms 61764 KB Output is correct
18 Correct 158 ms 61764 KB Output is correct
19 Correct 244 ms 61764 KB Output is correct
20 Correct 212 ms 62360 KB Output is correct
21 Correct 223 ms 62764 KB Output is correct
22 Correct 145 ms 64016 KB Output is correct
23 Correct 160 ms 64016 KB Output is correct
24 Correct 128 ms 64016 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 504 KB Output is correct
2 Correct 3 ms 612 KB Output is correct
3 Correct 3 ms 720 KB Output is correct
4 Correct 2 ms 772 KB Output is correct
5 Correct 3 ms 892 KB Output is correct
6 Correct 3 ms 912 KB Output is correct
7 Correct 3 ms 920 KB Output is correct
8 Correct 3 ms 920 KB Output is correct
9 Correct 2 ms 920 KB Output is correct
10 Correct 4 ms 920 KB Output is correct
11 Correct 3 ms 920 KB Output is correct
12 Correct 3 ms 920 KB Output is correct
13 Correct 3 ms 920 KB Output is correct
14 Correct 3 ms 924 KB Output is correct
15 Correct 2 ms 928 KB Output is correct
16 Correct 3 ms 932 KB Output is correct
17 Correct 2 ms 936 KB Output is correct
18 Correct 3 ms 940 KB Output is correct
19 Correct 128 ms 19428 KB Output is correct
20 Correct 135 ms 19428 KB Output is correct
21 Correct 156 ms 25636 KB Output is correct
22 Correct 208 ms 29284 KB Output is correct
23 Correct 213 ms 29284 KB Output is correct
24 Correct 201 ms 29284 KB Output is correct
25 Correct 183 ms 29284 KB Output is correct
26 Correct 3 ms 29284 KB Output is correct
27 Correct 3 ms 29284 KB Output is correct
28 Correct 359 ms 46704 KB Output is correct
29 Correct 293 ms 46704 KB Output is correct
30 Correct 2 ms 46704 KB Output is correct
31 Correct 2 ms 46704 KB Output is correct
32 Correct 4 ms 46704 KB Output is correct
33 Correct 3 ms 46704 KB Output is correct
34 Correct 3 ms 46704 KB Output is correct
35 Correct 3 ms 46704 KB Output is correct
36 Correct 3 ms 46704 KB Output is correct
37 Correct 2 ms 46704 KB Output is correct
38 Correct 2 ms 46704 KB Output is correct
39 Correct 3 ms 46704 KB Output is correct
40 Correct 3 ms 46704 KB Output is correct
41 Correct 2 ms 46704 KB Output is correct
42 Correct 3 ms 46704 KB Output is correct
43 Correct 311 ms 50288 KB Output is correct
44 Correct 304 ms 52236 KB Output is correct
45 Correct 335 ms 52236 KB Output is correct
46 Correct 307 ms 56200 KB Output is correct
47 Correct 299 ms 57264 KB Output is correct
48 Correct 338 ms 59276 KB Output is correct
49 Correct 316 ms 61112 KB Output is correct
50 Correct 2 ms 61112 KB Output is correct
51 Correct 214 ms 61112 KB Output is correct
52 Correct 226 ms 61112 KB Output is correct
53 Correct 207 ms 61112 KB Output is correct
54 Correct 200 ms 61764 KB Output is correct
55 Correct 3 ms 61764 KB Output is correct
56 Correct 3 ms 61764 KB Output is correct
57 Correct 3 ms 61764 KB Output is correct
58 Correct 3 ms 61764 KB Output is correct
59 Correct 3 ms 61764 KB Output is correct
60 Correct 3 ms 61764 KB Output is correct
61 Correct 2 ms 61764 KB Output is correct
62 Correct 2 ms 61764 KB Output is correct
63 Correct 3 ms 61764 KB Output is correct
64 Correct 2 ms 61764 KB Output is correct
65 Correct 3 ms 61764 KB Output is correct
66 Correct 3 ms 61764 KB Output is correct
67 Correct 158 ms 61764 KB Output is correct
68 Correct 244 ms 61764 KB Output is correct
69 Correct 212 ms 62360 KB Output is correct
70 Correct 223 ms 62764 KB Output is correct
71 Correct 145 ms 64016 KB Output is correct
72 Correct 160 ms 64016 KB Output is correct
73 Correct 128 ms 64016 KB Output is correct
74 Correct 220 ms 64016 KB Output is correct
75 Correct 327 ms 70096 KB Output is correct
76 Correct 306 ms 70096 KB Output is correct
77 Correct 255 ms 73292 KB Output is correct
78 Correct 235 ms 74576 KB Output is correct
79 Correct 298 ms 76032 KB Output is correct
80 Correct 215 ms 76032 KB Output is correct
81 Correct 210 ms 76032 KB Output is correct
82 Correct 271 ms 76032 KB Output is correct
83 Correct 225 ms 76032 KB Output is correct
84 Correct 220 ms 76032 KB Output is correct
85 Correct 295 ms 85772 KB Output is correct
86 Correct 271 ms 85772 KB Output is correct
87 Correct 228 ms 85772 KB Output is correct
88 Correct 301 ms 91584 KB Output is correct
89 Correct 268 ms 93376 KB Output is correct
90 Correct 308 ms 95028 KB Output is correct
91 Correct 233 ms 95028 KB Output is correct
92 Correct 307 ms 99548 KB Output is correct
93 Correct 255 ms 99548 KB Output is correct
94 Correct 352 ms 103016 KB Output is correct
95 Correct 351 ms 104856 KB Output is correct
96 Correct 285 ms 104856 KB Output is correct
97 Correct 209 ms 104856 KB Output is correct
98 Correct 244 ms 104856 KB Output is correct
99 Correct 259 ms 104856 KB Output is correct
100 Correct 361 ms 114864 KB Output is correct
101 Correct 261 ms 114864 KB Output is correct
102 Correct 314 ms 114864 KB Output is correct