oj.uz

Submission #895919

# Submission time Handle Problem Language Result Execution time Memory
895919 2023-12-31T05:38:43 Z joonwu04 Wiring (IOI17_wiring) C++17
20 / 100
 1000 ms 5688 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(1); idx.push_back(i); i++;}
	}
}

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, idx;
	makeVectors(color, idx, r, b);
	int vSize = color.size();
	//printVector(v);	// OK
	
	int rightSt=-1, rightEd=-1;
	int vSt = -1;
	for(int vIdx=0; vIdx<vSize; vIdx++) {
		sub3Dp[vIdx] = MAX;
		
		if(color[vIdx] != color[vIdx+1]) {
			vSt = vIdx + 1;
			rightSt = 0;
			rightEd = vIdx;
			break;
		}
	}
	
	int prevL = -1, prevR = -1;
	/*
	printf("(prevL, prevR) = (%d, %d)\n", prevL, prevR);
	printf("leftRed: "); printVector(leftRed);
	printf("rightBlue: "); printVector(rightBlue);*/
	 // OK
	int leftEd=-1;
	for(int vIdx=vSt; vIdx<vSize; vIdx++) {
		sub3Dp[vIdx] = MAX;
		
		if(color[vIdx] != color[vIdx-1]) {
			leftEd = prevR;
			prevL = rightSt;
			prevR = rightEd;
			rightSt = vIdx;
			/*
			printf("vIdx = %d\n", vIdx);
			printf("(prevL, prevR) = (%d, %d)\n", prevL, prevR);
			printf("leftRed: "); printVector(leftRed);
			printf("rightBlue: "); printVector(rightBlue);*/ // OK
		}
		
		rightEd = vIdx;
		//printf("(%d, %d), %d, rightBlue: ", v[vIdx].color, v[vIdx].pos, rightBlue.back()); 
		//printVector(rightBlue);
		
		for(int leftSt=prevR; leftSt>=prevL; leftSt--) {
			bool reversed = color[vIdx] == 1;
			ll cost;
			if(reversed) cost = sub2(b, r, leftSt, leftEd, rightSt, rightEd);
			else cost = sub2(r, b, leftSt, leftEd, rightSt, rightEd);
			
			if(sub3Dp[leftSt] == MAX) {
				if(leftSt == prevL) {
					sub3Dp[vIdx] = cost;
					break;
				}
				else continue;
			}
			
			ll rest = sub3Dp[leftSt];
			if(sub3Dp[leftSt-1] != MAX)
				rest = min(rest, sub3Dp[leftSt-1]);
				
			/*if(vIdx == 6) {
				printf("rSt=%d: cost = %lld     rest = %lld\n", rSt, cost, rest);
			}*/
				
			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);
	}
	else 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++) {
      |               ~^~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 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 344 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 0 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 0 ms 604 KB Output is correct
13 Correct 0 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 856 KB Output is correct
16 Correct 1 ms 604 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 13 ms 1628 KB Output is correct
4 Correct 13 ms 1544 KB Output is correct
5 Correct 13 ms 1544 KB Output is correct
6 Correct 17 ms 1884 KB Output is correct
7 Correct 17 ms 2008 KB Output is correct
8 Correct 21 ms 1996 KB Output is correct
9 Correct 17 ms 1884 KB Output is correct

Subtask #3
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Execution timed out 1063 ms 5688 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Incorrect 16 ms 3148 KB 3rd lines differ - on the 1st token, expected: '373710605', found: '-1'
3 Halted 0 ms 0 KB -

Subtask #5
0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 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 344 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 0 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 0 ms 604 KB Output is correct
13 Correct 0 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 856 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 604 KB Output is correct
19 Correct 13 ms 1628 KB Output is correct
20 Correct 13 ms 1544 KB Output is correct
21 Correct 13 ms 1544 KB Output is correct
22 Correct 17 ms 1884 KB Output is correct
23 Correct 17 ms 2008 KB Output is correct
24 Correct 21 ms 1996 KB Output is correct
25 Correct 17 ms 1884 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Execution timed out 1063 ms 5688 KB Time limit exceeded
29 Halted 0 ms 0 KB -