Submission #896932

# Submission time Handle Problem Language Result Execution time Memory
896932 2024-01-02T11:17:10 Z joonwu04 Wiring (IOI17_wiring) C++17
30 / 100
32 ms 8228 KB
#include "wiring.h" 
#include <iostream>
#define MAX 1000000000000000000
 
using namespace std;
 
typedef long long ll;
 
ll abs(ll x) {
	return x>=0 ? x:-x;
}
 
bool isSub1(int rSize, int bSize) {
	return rSize<=200 && bSize<=200;
}
 
ll sub1Dp[210][210]; // sub1Dp[i][j]: minCost when connecting r[0~i], b[0~j]
 
ll sub1(vector<int> &r, vector<int> &b) {
	int n = r.size(), m = b.size();
	
	sub1Dp[0][0] = abs(r[0] - b[0]);
	for(int j=1; j<m; j++) {
		sub1Dp[0][j] = sub1Dp[0][j-1] + abs(r[0] - b[j]);
	}
	for(int i=1; i<n; i++) {
		sub1Dp[i][0] = sub1Dp[i-1][0] + abs(r[i] - b[0]);
		for(int j=1; j<m; j++) {
			// r[i], b[j] should be connected
			ll connectingCost = abs(r[i] - b[j]);
			
			// case 1: r[i], b[j] are seperated to the rest
			ll t = sub1Dp[i-1][j-1]; // t is the restCost	
			
			// case 2: r[i] is connected to the rest 
			// in this case, b[j] is seperated to the rest
			t = min(t, sub1Dp[i][j-1]);
			
			// case 3: b[j] is connected to the rest
			// in this case, r[i] is seperated to the rest
			t = min(t, sub1Dp[i-1][j]);
			
			sub1Dp[i][j] = t + connectingCost;
		}
	}
	
	return sub1Dp[n-1][m-1];
}
 
bool isSub2(vector<int> &r, vector<int> &b) {
	return r.back() < b[0];
}
 
ll sub2(vector<int> &left, vector<int> &right, int lSt, int lEd, int rSt, int rEd) {
	
	ll lSum = 0;
	for(int i=lSt; i<=lEd; i++) {
		lSum += left[lEd] - left[i];
	}
	
	ll rSum = 0;
	for(int j=rSt; j<=rEd; j++) {
		rSum += right[j] - right[rSt];
	}
	
	ll connectingCost = (ll)(right[rSt] - left[lEd]) * max(lEd-lSt+1, rEd-rSt+1);
	
	return lSum + rSum + connectingCost;
}
 
bool isSub3(vector<int> &r, vector<int> &b) {
	int n = r.size(), m = b.size();
	vector<int> v;
	
	int i=0, j=0;
	while(i < n || j < m) {
		if(i == n) { v.push_back(0); j++;}
		else if(j == m) { v.push_back(1); i++;}
		else if(r[i] < b[j]) { v.push_back(1); i++;}
		else { v.push_back(0); j++;}
	}
	
	int cnt = 1;
	for(int i=1; i<v.size(); i++) {
		if(v[i] == v[i-1]) cnt++;
		else cnt = 1;
		
		if(cnt == 7) return false;
	}
	
	return true;
}
 
void makeVectors(vector<int> &color, vector<int> &idx, vector<int> &r, vector<int> &b) {
	int n = r.size(), m = b.size();
	
	int i=0, j=0;
	while(i < n || j < m) {
		if(i == n) {color.push_back(0); idx.push_back(j); j++;}
		else if(j == m) {color.push_back(1); idx.push_back(i); i++;}
		else if(r[i] < b[j]) {color.push_back(1); idx.push_back(i); i++;}
		else {color.push_back(0); idx.push_back(j); j++;}
	}
}
 
void printVector(vector<int> &v) {
	printf("{");
	for(int i=0; i<v.size(); i++) {
		printf("%d,", v[i]);
	}
	printf("}\n");
}
 
ll sub3Dp[200010]; // minCost of v[0~i] 
 
ll sub3(vector<int> &r, vector<int> &b) {
	vector<int> color, rbIdx;
	makeVectors(color, rbIdx, r, b);
	int vSize = color.size();
	
	int vSt = -1;
	for(int vIdx=0; vIdx<vSize-1; vIdx++) {
		sub3Dp[vIdx] = MAX;
		
		if(color[vIdx] != color[vIdx+1]) {
			vSt = vIdx + 1;
			break;
		}
	}
	
	int vPrevL = -1, vCurrL = -1;
	for(int vIdx=vSt; vIdx<vSize; vIdx++) {
		sub3Dp[vIdx] = MAX;
		
		if(color[vIdx] != color[vIdx-1]) {
			vPrevL = vCurrL;
			vCurrL = vIdx;
		}
		
		for(int i=vCurrL-1; i>=vPrevL; i--) {
			bool reversed = color[vIdx] == 1;
			
			ll cost;
			if(reversed) cost = sub2(b, r, rbIdx[i], rbIdx[vCurrL-1], rbIdx[vCurrL], rbIdx[vIdx]);
			else cost = sub2(r, b, rbIdx[i], rbIdx[vCurrL-1], rbIdx[vCurrL], rbIdx[vIdx]);
			
			ll rest;
			if(vPrevL == 0) {
				if(i > vPrevL) continue;
				else { // i == vPrevL (=0)
					sub3Dp[vIdx] = cost;
				}
			}
			else {
				rest = sub3Dp[i-1];
				if(i == vPrevL) rest = min(rest, sub3Dp[i]);
				sub3Dp[vIdx] = min(sub3Dp[vIdx], cost + rest);
			}
		}
		
		//printf("sub3Dp[%d] = %lld\n", vIdx, sub3Dp[vIdx]);
	}
	
	return sub3Dp[vSize-1];
}
 
ll min_total_length(vector<int> r, vector<int> b) {
	int n = r.size(), m = b.size();
	if(isSub1(n, m)) {
		return sub1(r, b);
	}
	else if(isSub2(r, b)) {
		return sub2(r, b, 0, n-1, 0, m-1);
	}
	else if(isSub3(r, b)) {
		return sub3(r, b);
	}
	
	return -1;
}

Compilation message

wiring.cpp: In function 'bool isSub3(std::vector<int>&, std::vector<int>&)':
wiring.cpp:84:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   84 |  for(int i=1; i<v.size(); i++) {
      |               ~^~~~~~~~~
wiring.cpp: In function 'void printVector(std::vector<int>&)':
wiring.cpp:108:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  108 |  for(int i=0; i<v.size(); i++) {
      |               ~^~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 0 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 600 KB Output is correct
3 Correct 13 ms 2908 KB Output is correct
4 Correct 13 ms 2908 KB Output is correct
5 Correct 13 ms 2908 KB Output is correct
6 Correct 17 ms 3780 KB Output is correct
7 Correct 20 ms 3884 KB Output is correct
8 Correct 18 ms 3932 KB Output is correct
9 Correct 18 ms 3676 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 28 ms 8228 KB Output is correct
4 Correct 29 ms 7860 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 0 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 32 ms 8080 KB Output is correct
19 Correct 27 ms 8132 KB Output is correct
20 Correct 30 ms 8120 KB Output is correct
21 Correct 27 ms 8132 KB Output is correct
22 Correct 27 ms 8092 KB Output is correct
23 Correct 28 ms 8116 KB Output is correct
24 Correct 28 ms 8176 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Incorrect 16 ms 4308 KB 3rd lines differ - on the 1st token, expected: '373710605', found: '-1'
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 0 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 600 KB Output is correct
19 Correct 13 ms 2908 KB Output is correct
20 Correct 13 ms 2908 KB Output is correct
21 Correct 13 ms 2908 KB Output is correct
22 Correct 17 ms 3780 KB Output is correct
23 Correct 20 ms 3884 KB Output is correct
24 Correct 18 ms 3932 KB Output is correct
25 Correct 18 ms 3676 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 28 ms 8228 KB Output is correct
29 Correct 29 ms 7860 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 0 ms 604 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 32 ms 8080 KB Output is correct
44 Correct 27 ms 8132 KB Output is correct
45 Correct 30 ms 8120 KB Output is correct
46 Correct 27 ms 8132 KB Output is correct
47 Correct 27 ms 8092 KB Output is correct
48 Correct 28 ms 8116 KB Output is correct
49 Correct 28 ms 8176 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Incorrect 16 ms 4308 KB 3rd lines differ - on the 1st token, expected: '373710605', found: '-1'
52 Halted 0 ms 0 KB -