oj.uz

Submission #141161

# Submission time Handle Problem Language Result Execution time Memory
141161 2019-08-07T04:46:21 Z DrumpfTheGodEmperor Rope (JOI17_rope) C++14
80 / 100
 2500 ms 218376 KB 
#include <bits/stdc++.h>
#define bp __builtin_popcountll
#define pb push_back
#define in(s) freopen(s, "r", stdin);
#define out(s) freopen(s, "w", stdout);
#define inout(s, end1, end2) freopen((string(s) + "." + end1).c_str(), "r", stdin),\
		freopen((string(s) + "." + end2).c_str(), "w", stdout);
#define fi first
#define se second
#define bw(i, r, l) for (int i = r - 1; i >= l; i--)
#define fw(i, l, r) for (int i = l; i < r; i++)
#define fa(i, x) for (auto i: x)
using namespace std;
typedef pair<int, int> ii;
const int mod = 1e9 + 7, inf = 1061109567;
const long long infll = 4557430888798830399;
const int N = 1e6 + 5;
int n, m, c[N], ans[N], cnt[N], cntRMQ[N][20], logy[N], totalRemovals[N];
vector<ii> v;
vector<int> app[N], samePair[N];
void removeColor(int color) {
//	cout << "Remove color " << color << "\n";
	totalRemovals[color]++;
}
int getMax(int l, int r) {
	if (l > r) return 0;
	int tmp = logy[r - l + 1];
	return max(cntRMQ[l][tmp], cntRMQ[r - (1 << tmp) + 1][tmp]);
}
signed main() {
	#ifdef BLU
	in("blu.inp");
	#endif
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
	cin >> n >> m;
	fw (i, 0, n) cin >> c[i];
	if (m == 1) {
		cout << "0";
		return 0;
	}
	//Pre - color the rope then fold. Folding can be done if segments of the same color, except the first
	//and last one are all of even length.
	memset(ans, 63, sizeof ans);
	memset(cnt, 0, sizeof cnt);
	fw (i, 0, n) cnt[c[i]]++;
	//RMQ initialization
	fw (i, 0, N) logy[i] = log2(i);
	fw (i, 1, m + 1) cntRMQ[i][0] = cnt[i];
//	fw (i, 1, m + 1) cout << cnt[i] << " "; cout << "\n";
	fw (j, 1, 20) fw (i, 1, m + 1) if (i + (1 << (j - 1)) < n) {
		cntRMQ[i][j] = max(cntRMQ[i][j - 1], cntRMQ[i + (1 << (j - 1))][j - 1]);
	}
	fw (i, 0, 2) {
		bool lastExcluded = 0;
		if (i == 0 && (n & 1)) lastExcluded = 1;
		if (i == 1 && !(n & 1)) lastExcluded = 1;
		//Fix the first segment one as either odd or even.
		fw (color, 1, m + 1) app[color].clear(), samePair[color].clear();
		v.clear();
		for (int j = i; j < n; j += 2) {
			if (j + 1 >= n) break;
			v.pb(ii(c[j], c[j + 1]));
		}
		fw (j, 0, v.size()) {
			app[v[j].fi].pb(j);
			if (v[j].se != v[j].fi) app[v[j].se].pb(j);
		}
		fw (color, 1, m + 1) {
			samePair[color].pb(color);
			fa (pairID, app[color]) {
				//Add color to other color's samePair vector.
				if (v[pairID].fi != color) samePair[v[pairID].fi].pb(color);
				if (v[pairID].se != color) samePair[v[pairID].se].pb(color);
			}
		}
		fw (color, 1, m + 1) {
			samePair[color].resize(unique(samePair[color].begin(), samePair[color].end()) - samePair[color].begin());
			int totalCost = 0, cntExcluded = 0;
			//Find element with max cnt excluding all the pairs that color j appears in
			if (i == 1 && c[0] == color) {
				removeColor(c[0]);
				cntExcluded++;
			}
			if (lastExcluded && c[n - 1] == color) {
				removeColor(c[n - 1]);
				cntExcluded++;
			}
			fa (pairID, app[color]) {
				int cost = 0;
				if (v[pairID].fi != color || v[pairID].se != color) cost = 1;
				totalCost += cost;
				
				removeColor(v[pairID].fi);
				removeColor(v[pairID].se);
				
				cntExcluded += 2;
			}
			//Calculating number that appears the most
			int mxAppearances = 0;
			fw (j, 0, samePair[color].size() + 1) {
				if (j < samePair[color].size()) {
					int curColor = samePair[color][j];
//					cout << "curColor = " << curColor << " totalRemovals = " << totalRemovals[curColor] << "\n";
					mxAppearances = max(mxAppearances, cnt[curColor] - totalRemovals[curColor]);
					totalRemovals[curColor] = 0; //Reset total removals.
				}
				int prvColor = j ? samePair[color][j - 1] : 0;
				int curColor = j < samePair[color].size() ? samePair[color][j] : m + 1;
				prvColor++;
				curColor--;
				mxAppearances = max(mxAppearances, getMax(prvColor, curColor));
			}
			//cntIncluded counts the number of cords included in group 2.
			int cntIncluded = n - cntExcluded;
			totalCost += cntIncluded - mxAppearances;
//			cout << "mxApperances = " << mxAppearances << " cntIncluded = " << cntIncluded << "\n";
			ans[color] = min(ans[color], totalCost);
//			cout << "i = " << i << " ans[" << color << "] = " << totalCost << "\n";
		}
	}
	fw (color, 1, m + 1) cout << ans[color] << "\n";
	return 0;
}

Compilation message

rope.cpp: In function 'int main()':
rope.cpp:11:39: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
 #define fw(i, l, r) for (int i = l; i < r; i++)
rope.cpp:64:7:
   fw (j, 0, v.size()) {
       ~~~~~~~~~~~~~~                   
rope.cpp:64:3: note: in expansion of macro 'fw'
   fw (j, 0, v.size()) {
   ^~
rope.cpp:11:39: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
 #define fw(i, l, r) for (int i = l; i < r; i++)
rope.cpp:100:8:
    fw (j, 0, samePair[color].size() + 1) {
        ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
rope.cpp:100:4: note: in expansion of macro 'fw'
    fw (j, 0, samePair[color].size() + 1) {
    ^~
rope.cpp:101:11: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     if (j < samePair[color].size()) {
         ~~^~~~~~~~~~~~~~~~~~~~~~~~
rope.cpp:108:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     int curColor = j < samePair[color].size() ? samePair[color][j] : m + 1;
                    ~~^~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 59000 KB Output is correct
2 Correct 71 ms 59036 KB Output is correct
3 Correct 71 ms 59060 KB Output is correct
4 Correct 70 ms 59052 KB Output is correct
5 Correct 71 ms 59028 KB Output is correct
6 Correct 71 ms 59012 KB Output is correct
7 Correct 71 ms 59076 KB Output is correct
8 Correct 70 ms 59108 KB Output is correct
9 Correct 70 ms 59112 KB Output is correct
10 Correct 70 ms 59100 KB Output is correct
11 Correct 70 ms 59108 KB Output is correct
12 Correct 70 ms 59000 KB Output is correct
13 Correct 69 ms 59040 KB Output is correct
14 Correct 70 ms 59112 KB Output is correct
15 Correct 74 ms 59100 KB Output is correct
16 Correct 70 ms 59012 KB Output is correct
17 Correct 70 ms 59000 KB Output is correct
18 Correct 70 ms 59088 KB Output is correct
19 Correct 70 ms 59056 KB Output is correct
20 Correct 70 ms 59144 KB Output is correct
21 Correct 69 ms 59120 KB Output is correct
22 Correct 45 ms 47300 KB Output is correct
23 Correct 69 ms 59076 KB Output is correct
24 Correct 70 ms 59104 KB Output is correct
25 Correct 70 ms 59028 KB Output is correct
26 Correct 46 ms 47324 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 59000 KB Output is correct
2 Correct 71 ms 59036 KB Output is correct
3 Correct 71 ms 59060 KB Output is correct
4 Correct 70 ms 59052 KB Output is correct
5 Correct 71 ms 59028 KB Output is correct
6 Correct 71 ms 59012 KB Output is correct
7 Correct 71 ms 59076 KB Output is correct
8 Correct 70 ms 59108 KB Output is correct
9 Correct 70 ms 59112 KB Output is correct
10 Correct 70 ms 59100 KB Output is correct
11 Correct 70 ms 59108 KB Output is correct
12 Correct 70 ms 59000 KB Output is correct
13 Correct 69 ms 59040 KB Output is correct
14 Correct 70 ms 59112 KB Output is correct
15 Correct 74 ms 59100 KB Output is correct
16 Correct 70 ms 59012 KB Output is correct
17 Correct 70 ms 59000 KB Output is correct
18 Correct 70 ms 59088 KB Output is correct
19 Correct 70 ms 59056 KB Output is correct
20 Correct 70 ms 59144 KB Output is correct
21 Correct 69 ms 59120 KB Output is correct
22 Correct 45 ms 47300 KB Output is correct
23 Correct 69 ms 59076 KB Output is correct
24 Correct 70 ms 59104 KB Output is correct
25 Correct 70 ms 59028 KB Output is correct
26 Correct 46 ms 47324 KB Output is correct
27 Correct 87 ms 61168 KB Output is correct
28 Correct 86 ms 61128 KB Output is correct
29 Correct 87 ms 61040 KB Output is correct
30 Correct 87 ms 60928 KB Output is correct
31 Correct 97 ms 61268 KB Output is correct
32 Correct 99 ms 61144 KB Output is correct
33 Correct 94 ms 61172 KB Output is correct
34 Correct 98 ms 60908 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 59000 KB Output is correct
2 Correct 71 ms 59036 KB Output is correct
3 Correct 71 ms 59060 KB Output is correct
4 Correct 70 ms 59052 KB Output is correct
5 Correct 71 ms 59028 KB Output is correct
6 Correct 71 ms 59012 KB Output is correct
7 Correct 71 ms 59076 KB Output is correct
8 Correct 70 ms 59108 KB Output is correct
9 Correct 70 ms 59112 KB Output is correct
10 Correct 70 ms 59100 KB Output is correct
11 Correct 70 ms 59108 KB Output is correct
12 Correct 70 ms 59000 KB Output is correct
13 Correct 69 ms 59040 KB Output is correct
14 Correct 70 ms 59112 KB Output is correct
15 Correct 74 ms 59100 KB Output is correct
16 Correct 70 ms 59012 KB Output is correct
17 Correct 70 ms 59000 KB Output is correct
18 Correct 70 ms 59088 KB Output is correct
19 Correct 70 ms 59056 KB Output is correct
20 Correct 70 ms 59144 KB Output is correct
21 Correct 69 ms 59120 KB Output is correct
22 Correct 45 ms 47300 KB Output is correct
23 Correct 69 ms 59076 KB Output is correct
24 Correct 70 ms 59104 KB Output is correct
25 Correct 70 ms 59028 KB Output is correct
26 Correct 46 ms 47324 KB Output is correct
27 Correct 87 ms 61168 KB Output is correct
28 Correct 86 ms 61128 KB Output is correct
29 Correct 87 ms 61040 KB Output is correct
30 Correct 87 ms 60928 KB Output is correct
31 Correct 97 ms 61268 KB Output is correct
32 Correct 99 ms 61144 KB Output is correct
33 Correct 94 ms 61172 KB Output is correct
34 Correct 98 ms 60908 KB Output is correct
35 Correct 103 ms 61456 KB Output is correct
36 Correct 99 ms 61216 KB Output is correct
37 Correct 99 ms 61292 KB Output is correct
38 Correct 100 ms 61300 KB Output is correct
39 Correct 98 ms 61384 KB Output is correct
40 Correct 93 ms 61540 KB Output is correct
41 Correct 94 ms 61556 KB Output is correct
42 Correct 92 ms 61508 KB Output is correct
43 Correct 92 ms 61556 KB Output is correct
44 Correct 92 ms 61552 KB Output is correct
45 Correct 95 ms 61700 KB Output is correct
46 Correct 92 ms 61536 KB Output is correct
47 Correct 93 ms 61552 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 59000 KB Output is correct
2 Correct 71 ms 59036 KB Output is correct
3 Correct 71 ms 59060 KB Output is correct
4 Correct 70 ms 59052 KB Output is correct
5 Correct 71 ms 59028 KB Output is correct
6 Correct 71 ms 59012 KB Output is correct
7 Correct 71 ms 59076 KB Output is correct
8 Correct 70 ms 59108 KB Output is correct
9 Correct 70 ms 59112 KB Output is correct
10 Correct 70 ms 59100 KB Output is correct
11 Correct 70 ms 59108 KB Output is correct
12 Correct 70 ms 59000 KB Output is correct
13 Correct 69 ms 59040 KB Output is correct
14 Correct 70 ms 59112 KB Output is correct
15 Correct 74 ms 59100 KB Output is correct
16 Correct 70 ms 59012 KB Output is correct
17 Correct 70 ms 59000 KB Output is correct
18 Correct 70 ms 59088 KB Output is correct
19 Correct 70 ms 59056 KB Output is correct
20 Correct 70 ms 59144 KB Output is correct
21 Correct 69 ms 59120 KB Output is correct
22 Correct 45 ms 47300 KB Output is correct
23 Correct 69 ms 59076 KB Output is correct
24 Correct 70 ms 59104 KB Output is correct
25 Correct 70 ms 59028 KB Output is correct
26 Correct 46 ms 47324 KB Output is correct
27 Correct 87 ms 61168 KB Output is correct
28 Correct 86 ms 61128 KB Output is correct
29 Correct 87 ms 61040 KB Output is correct
30 Correct 87 ms 60928 KB Output is correct
31 Correct 97 ms 61268 KB Output is correct
32 Correct 99 ms 61144 KB Output is correct
33 Correct 94 ms 61172 KB Output is correct
34 Correct 98 ms 60908 KB Output is correct
35 Correct 103 ms 61456 KB Output is correct
36 Correct 99 ms 61216 KB Output is correct
37 Correct 99 ms 61292 KB Output is correct
38 Correct 100 ms 61300 KB Output is correct
39 Correct 98 ms 61384 KB Output is correct
40 Correct 93 ms 61540 KB Output is correct
41 Correct 94 ms 61556 KB Output is correct
42 Correct 92 ms 61508 KB Output is correct
43 Correct 92 ms 61556 KB Output is correct
44 Correct 92 ms 61552 KB Output is correct
45 Correct 95 ms 61700 KB Output is correct
46 Correct 92 ms 61536 KB Output is correct
47 Correct 93 ms 61552 KB Output is correct
48 Correct 663 ms 84908 KB Output is correct
49 Correct 534 ms 84844 KB Output is correct
50 Correct 539 ms 84864 KB Output is correct
51 Correct 483 ms 84212 KB Output is correct
52 Correct 454 ms 81632 KB Output is correct
53 Correct 451 ms 83344 KB Output is correct
54 Correct 415 ms 81324 KB Output is correct
55 Correct 412 ms 80988 KB Output is correct
56 Correct 388 ms 80440 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 59000 KB Output is correct
2 Correct 71 ms 59036 KB Output is correct
3 Correct 71 ms 59060 KB Output is correct
4 Correct 70 ms 59052 KB Output is correct
5 Correct 71 ms 59028 KB Output is correct
6 Correct 71 ms 59012 KB Output is correct
7 Correct 71 ms 59076 KB Output is correct
8 Correct 70 ms 59108 KB Output is correct
9 Correct 70 ms 59112 KB Output is correct
10 Correct 70 ms 59100 KB Output is correct
11 Correct 70 ms 59108 KB Output is correct
12 Correct 70 ms 59000 KB Output is correct
13 Correct 69 ms 59040 KB Output is correct
14 Correct 70 ms 59112 KB Output is correct
15 Correct 74 ms 59100 KB Output is correct
16 Correct 70 ms 59012 KB Output is correct
17 Correct 70 ms 59000 KB Output is correct
18 Correct 70 ms 59088 KB Output is correct
19 Correct 70 ms 59056 KB Output is correct
20 Correct 70 ms 59144 KB Output is correct
21 Correct 69 ms 59120 KB Output is correct
22 Correct 45 ms 47300 KB Output is correct
23 Correct 69 ms 59076 KB Output is correct
24 Correct 70 ms 59104 KB Output is correct
25 Correct 70 ms 59028 KB Output is correct
26 Correct 46 ms 47324 KB Output is correct
27 Correct 87 ms 61168 KB Output is correct
28 Correct 86 ms 61128 KB Output is correct
29 Correct 87 ms 61040 KB Output is correct
30 Correct 87 ms 60928 KB Output is correct
31 Correct 97 ms 61268 KB Output is correct
32 Correct 99 ms 61144 KB Output is correct
33 Correct 94 ms 61172 KB Output is correct
34 Correct 98 ms 60908 KB Output is correct
35 Correct 103 ms 61456 KB Output is correct
36 Correct 99 ms 61216 KB Output is correct
37 Correct 99 ms 61292 KB Output is correct
38 Correct 100 ms 61300 KB Output is correct
39 Correct 98 ms 61384 KB Output is correct
40 Correct 93 ms 61540 KB Output is correct
41 Correct 94 ms 61556 KB Output is correct
42 Correct 92 ms 61508 KB Output is correct
43 Correct 92 ms 61556 KB Output is correct
44 Correct 92 ms 61552 KB Output is correct
45 Correct 95 ms 61700 KB Output is correct
46 Correct 92 ms 61536 KB Output is correct
47 Correct 93 ms 61552 KB Output is correct
48 Correct 663 ms 84908 KB Output is correct
49 Correct 534 ms 84844 KB Output is correct
50 Correct 539 ms 84864 KB Output is correct
51 Correct 483 ms 84212 KB Output is correct
52 Correct 454 ms 81632 KB Output is correct
53 Correct 451 ms 83344 KB Output is correct
54 Correct 415 ms 81324 KB Output is correct
55 Correct 412 ms 80988 KB Output is correct
56 Correct 388 ms 80440 KB Output is correct
57 Execution timed out 2524 ms 218376 KB Time limit exceeded
58 Halted 0 ms 0 KB -