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답안 #422540

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
422540 2021-06-10T08:15:35 Z MetalPower Crossing (JOI21_crossing) C++14
100 / 100
 542 ms 26176 KB 
#include <bits/stdc++.h>
using namespace std;

const int MX = 2e5 + 10;
const int MT = 5;
const int MOD[2] = {998244353, 420691273};

inline void chad(int& a, int b, int t){
	a = (a + b) % MOD[t];
}

inline int add(int a, int b, int t){
	return (a + b) % MOD[t];
}

inline int mul(int a, int b, int t){
	return 1ll * a * b % MOD[t];
}

inline int sub(int a, int b, int t){
	return (a + MOD[t] - b) % MOD[t];
}

int fp[MX][2], pref[MX][2];

void init(){
	pref[0][0] = pref[0][1] = fp[0][0] = fp[0][1] = 1;

	for(int i = 1; i < MX; i++){
		fp[i][0] = mul(fp[i - 1][0], MT, 0);
		fp[i][1] = mul(fp[i - 1][1], MT, 1);
		pref[i][0] = add(pref[i - 1][0], fp[i][0], 0);
		pref[i][1] = add(pref[i - 1][1], fp[i][1], 1);
	}
}

int sum(int l, int r, int t){
	return (l == 0) ? pref[r][t] : sub(pref[r][t], pref[l - 1][t], t);
}

int N, Q, arr[MX], hs[MX][9]; string s[3], T;
map<int, int> mp;

struct segtree{

	int st[MX * 4], lazy[MX * 4];

	void propagate(int idx, int l, int r){
		if(lazy[idx] != -1){
			st[idx] = mul(lazy[idx], sum(l, r, 0), 0);
			if(l != r){
				lazy[idx << 1] = lazy[idx << 1|1] = lazy[idx];
			}
			lazy[idx] = -1;
		}
	}

	void build(int idx, int l, int r){
		lazy[idx] = -1;

		if(l == r){
			st[idx] = mul(arr[l], fp[l][0], 0);
		}else{
			int mid = l + r >> 1;
			build(idx << 1, l, mid);
			build(idx << 1 | 1, mid + 1, r);
			st[idx] = add(st[idx << 1], st[idx << 1 | 1], 0);
		}
	}

	void upd(int idx, int l, int r, int from, int to, int val){
		propagate(idx, l, r);
		if(r < from || to < l) return;
		if(from <= l && r <= to){
			lazy[idx] = val;
			propagate(idx, l, r);
		}else{
			int mid = (l + r) >> 1;
			upd(idx << 1, l, mid, from, to, val);
			upd(idx << 1 | 1, mid + 1, r, from, to, val);
			st[idx] = add(st[idx << 1], st[idx << 1 | 1], 0);
		}
	}
} seg;

// Observation #1 : 
	// If you match J = 0, O = 1, I = 2
	// Crossing the strings is equal to 2(A[i] + B[i]) mod 3
	// Where A and B are the two strings

// Assume we have strings A, B, and C we can create strings
// 2A + 2B, 2A + 2C, 2B + 2C
// A + B + 2C, A + C + 2B, B + C + 2A

int main(){
	ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL);

	cin >> N >> s[0] >> s[1] >> s[2]; init();

	for(int j = 0; j < 3; j++){
		for(int i = 0; i < N; i++){
			if(s[j][i] == 'J') hs[i][j] = 0;
			else if(s[j][i] == 'O') hs[i][j] = 1;
			else if(s[j][i] == 'I') hs[i][j] = 2;
		}
	}

	for(int i = 0; i < N; i++){
		hs[i][3] = ((hs[i][0] + hs[i][1]) << 1) % 3;
	}

	for(int i = 0; i < N; i++){
		hs[i][4] = ((hs[i][0] + hs[i][2]) << 1) % 3;
	}

	for(int i = 0; i < N; i++){
		hs[i][5] = ((hs[i][1] + hs[i][2]) << 1) % 3;
	}

	for(int i = 0; i < N; i++){
		hs[i][6] = ((hs[i][2] + hs[i][3]) << 1) % 3;
	}

	for(int i = 0; i < N; i++){
		hs[i][7] = ((hs[i][1] + hs[i][4]) << 1) % 3;
	}

	for(int i = 0; i < N; i++){
		hs[i][8] = ((hs[i][0] + hs[i][5]) << 1) % 3;
	}

	for(int j = 0; j < 9; j++){
		int curr = 0;
		for(int i = 0; i < N; i++){
			chad(curr, mul(hs[i][j], fp[i][0], 0), 0);
		}
		mp[curr] = 1;
	}

	cin >> Q >> T;

	for(int i = 0; i < N; i++){
		if(T[i] == 'J') arr[i] = 0;
		else if(T[i] == 'O') arr[i] = 1;
		else if(T[i] == 'I') arr[i] = 2;
	}

	seg.build(1, 0, N - 1);
	cout << (mp[seg.st[1]] ? "Yes" : "No") << '\n';

	for(int i = 0; i < Q; i++){
		int l, r; char c; cin >> l >> r >> c; l--; r--;

		if(c == 'J') seg.upd(1, 0, N - 1, l, r, 0);
		else if(c == 'O') seg.upd(1, 0, N - 1, l, r, 1);
		else seg.upd(1, 0, N - 1, l, r, 2);

		cout << (mp[seg.st[1]] ? "Yes" : "No") << '\n';
	}
}

Compilation message

Main.cpp: In member function 'void segtree::build(int, int, int)':
Main.cpp:64:16: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   64 |    int mid = l + r >> 1;
      |              ~~^~~

Subtask #1
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 196 ms 10924 KB Output is correct
2 Correct 185 ms 11664 KB Output is correct
3 Correct 181 ms 6696 KB Output is correct
4 Correct 175 ms 11652 KB Output is correct
5 Correct 177 ms 11716 KB Output is correct
6 Correct 168 ms 11032 KB Output is correct
7 Correct 184 ms 11240 KB Output is correct
8 Correct 199 ms 11888 KB Output is correct
9 Correct 187 ms 11588 KB Output is correct
10 Correct 194 ms 12744 KB Output is correct
11 Correct 202 ms 12120 KB Output is correct
12 Correct 234 ms 12716 KB Output is correct
13 Correct 193 ms 12244 KB Output is correct
14 Correct 183 ms 12740 KB Output is correct
15 Correct 184 ms 12120 KB Output is correct
16 Correct 195 ms 12648 KB Output is correct
17 Correct 204 ms 12100 KB Output is correct
18 Correct 124 ms 5464 KB Output is correct

Subtask #2
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 196 ms 10924 KB Output is correct
2 Correct 185 ms 11664 KB Output is correct
3 Correct 181 ms 6696 KB Output is correct
4 Correct 175 ms 11652 KB Output is correct
5 Correct 177 ms 11716 KB Output is correct
6 Correct 168 ms 11032 KB Output is correct
7 Correct 184 ms 11240 KB Output is correct
8 Correct 199 ms 11888 KB Output is correct
9 Correct 187 ms 11588 KB Output is correct
10 Correct 194 ms 12744 KB Output is correct
11 Correct 202 ms 12120 KB Output is correct
12 Correct 234 ms 12716 KB Output is correct
13 Correct 193 ms 12244 KB Output is correct
14 Correct 183 ms 12740 KB Output is correct
15 Correct 184 ms 12120 KB Output is correct
16 Correct 195 ms 12648 KB Output is correct
17 Correct 204 ms 12100 KB Output is correct
18 Correct 124 ms 5464 KB Output is correct
19 Correct 542 ms 24096 KB Output is correct
20 Correct 429 ms 24592 KB Output is correct
21 Correct 416 ms 24756 KB Output is correct
22 Correct 371 ms 22512 KB Output is correct
23 Correct 286 ms 14052 KB Output is correct
24 Correct 287 ms 13124 KB Output is correct
25 Correct 422 ms 25720 KB Output is correct
26 Correct 391 ms 24404 KB Output is correct
27 Correct 450 ms 26176 KB Output is correct
28 Correct 450 ms 24340 KB Output is correct
29 Correct 450 ms 25684 KB Output is correct
30 Correct 312 ms 14060 KB Output is correct
31 Correct 481 ms 26052 KB Output is correct
32 Correct 375 ms 23448 KB Output is correct
33 Correct 315 ms 13080 KB Output is correct
34 Correct 439 ms 24332 KB Output is correct
35 Correct 329 ms 22444 KB Output is correct
36 Correct 244 ms 13124 KB Output is correct
37 Correct 246 ms 13124 KB Output is correct
38 Correct 403 ms 22620 KB Output is correct
39 Correct 231 ms 21492 KB Output is correct
40 Correct 342 ms 19624 KB Output is correct
41 Correct 359 ms 17100 KB Output is correct
42 Correct 77 ms 17048 KB Output is correct

Subtask #3
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 196 ms 10924 KB Output is correct
2 Correct 185 ms 11664 KB Output is correct
3 Correct 181 ms 6696 KB Output is correct
4 Correct 175 ms 11652 KB Output is correct
5 Correct 177 ms 11716 KB Output is correct
6 Correct 168 ms 11032 KB Output is correct
7 Correct 184 ms 11240 KB Output is correct
8 Correct 199 ms 11888 KB Output is correct
9 Correct 187 ms 11588 KB Output is correct
10 Correct 194 ms 12744 KB Output is correct
11 Correct 202 ms 12120 KB Output is correct
12 Correct 234 ms 12716 KB Output is correct
13 Correct 193 ms 12244 KB Output is correct
14 Correct 183 ms 12740 KB Output is correct
15 Correct 184 ms 12120 KB Output is correct
16 Correct 195 ms 12648 KB Output is correct
17 Correct 204 ms 12100 KB Output is correct
18 Correct 124 ms 5464 KB Output is correct
19 Correct 192 ms 11216 KB Output is correct
20 Correct 155 ms 6728 KB Output is correct
21 Correct 189 ms 12236 KB Output is correct
22 Correct 158 ms 10784 KB Output is correct
23 Correct 255 ms 12292 KB Output is correct
24 Correct 183 ms 11472 KB Output is correct
25 Correct 212 ms 12220 KB Output is correct
26 Correct 188 ms 11300 KB Output is correct
27 Correct 197 ms 12228 KB Output is correct
28 Correct 181 ms 11376 KB Output is correct
29 Correct 188 ms 11724 KB Output is correct
30 Correct 176 ms 10972 KB Output is correct
31 Correct 180 ms 12424 KB Output is correct
32 Correct 199 ms 12328 KB Output is correct
33 Correct 196 ms 11892 KB Output is correct
34 Correct 170 ms 11208 KB Output is correct
35 Correct 185 ms 12668 KB Output is correct
36 Correct 187 ms 12064 KB Output is correct
37 Correct 243 ms 12672 KB Output is correct
38 Correct 180 ms 12052 KB Output is correct
39 Correct 212 ms 12672 KB Output is correct
40 Correct 191 ms 12060 KB Output is correct
41 Correct 181 ms 12740 KB Output is correct
42 Correct 220 ms 12048 KB Output is correct
43 Correct 184 ms 11652 KB Output is correct
44 Correct 177 ms 11912 KB Output is correct

Subtask #4
51.0 / 51.0

# 결과 실행 시간 메모리 Grader output
1 Correct 196 ms 10924 KB Output is correct
2 Correct 185 ms 11664 KB Output is correct
3 Correct 181 ms 6696 KB Output is correct
4 Correct 175 ms 11652 KB Output is correct
5 Correct 177 ms 11716 KB Output is correct
6 Correct 168 ms 11032 KB Output is correct
7 Correct 184 ms 11240 KB Output is correct
8 Correct 199 ms 11888 KB Output is correct
9 Correct 187 ms 11588 KB Output is correct
10 Correct 194 ms 12744 KB Output is correct
11 Correct 202 ms 12120 KB Output is correct
12 Correct 234 ms 12716 KB Output is correct
13 Correct 193 ms 12244 KB Output is correct
14 Correct 183 ms 12740 KB Output is correct
15 Correct 184 ms 12120 KB Output is correct
16 Correct 195 ms 12648 KB Output is correct
17 Correct 204 ms 12100 KB Output is correct
18 Correct 124 ms 5464 KB Output is correct
19 Correct 542 ms 24096 KB Output is correct
20 Correct 429 ms 24592 KB Output is correct
21 Correct 416 ms 24756 KB Output is correct
22 Correct 371 ms 22512 KB Output is correct
23 Correct 286 ms 14052 KB Output is correct
24 Correct 287 ms 13124 KB Output is correct
25 Correct 422 ms 25720 KB Output is correct
26 Correct 391 ms 24404 KB Output is correct
27 Correct 450 ms 26176 KB Output is correct
28 Correct 450 ms 24340 KB Output is correct
29 Correct 450 ms 25684 KB Output is correct
30 Correct 312 ms 14060 KB Output is correct
31 Correct 481 ms 26052 KB Output is correct
32 Correct 375 ms 23448 KB Output is correct
33 Correct 315 ms 13080 KB Output is correct
34 Correct 439 ms 24332 KB Output is correct
35 Correct 329 ms 22444 KB Output is correct
36 Correct 244 ms 13124 KB Output is correct
37 Correct 246 ms 13124 KB Output is correct
38 Correct 403 ms 22620 KB Output is correct
39 Correct 231 ms 21492 KB Output is correct
40 Correct 342 ms 19624 KB Output is correct
41 Correct 359 ms 17100 KB Output is correct
42 Correct 77 ms 17048 KB Output is correct
43 Correct 192 ms 11216 KB Output is correct
44 Correct 155 ms 6728 KB Output is correct
45 Correct 189 ms 12236 KB Output is correct
46 Correct 158 ms 10784 KB Output is correct
47 Correct 255 ms 12292 KB Output is correct
48 Correct 183 ms 11472 KB Output is correct
49 Correct 212 ms 12220 KB Output is correct
50 Correct 188 ms 11300 KB Output is correct
51 Correct 197 ms 12228 KB Output is correct
52 Correct 181 ms 11376 KB Output is correct
53 Correct 188 ms 11724 KB Output is correct
54 Correct 176 ms 10972 KB Output is correct
55 Correct 180 ms 12424 KB Output is correct
56 Correct 199 ms 12328 KB Output is correct
57 Correct 196 ms 11892 KB Output is correct
58 Correct 170 ms 11208 KB Output is correct
59 Correct 185 ms 12668 KB Output is correct
60 Correct 187 ms 12064 KB Output is correct
61 Correct 243 ms 12672 KB Output is correct
62 Correct 180 ms 12052 KB Output is correct
63 Correct 212 ms 12672 KB Output is correct
64 Correct 191 ms 12060 KB Output is correct
65 Correct 181 ms 12740 KB Output is correct
66 Correct 220 ms 12048 KB Output is correct
67 Correct 184 ms 11652 KB Output is correct
68 Correct 177 ms 11912 KB Output is correct
69 Correct 453 ms 21924 KB Output is correct
70 Correct 448 ms 24616 KB Output is correct
71 Correct 285 ms 13124 KB Output is correct
72 Correct 268 ms 13248 KB Output is correct
73 Correct 253 ms 13164 KB Output is correct
74 Correct 351 ms 23460 KB Output is correct
75 Correct 285 ms 14284 KB Output is correct
76 Correct 405 ms 25760 KB Output is correct
77 Correct 327 ms 22412 KB Output is correct
78 Correct 250 ms 13196 KB Output is correct
79 Correct 244 ms 13200 KB Output is correct
80 Correct 325 ms 22024 KB Output is correct
81 Correct 315 ms 14024 KB Output is correct
82 Correct 373 ms 25816 KB Output is correct
83 Correct 395 ms 23468 KB Output is correct
84 Correct 251 ms 13148 KB Output is correct
85 Correct 259 ms 13176 KB Output is correct
86 Correct 354 ms 21656 KB Output is correct
87 Correct 395 ms 24312 KB Output is correct
88 Correct 247 ms 12712 KB Output is correct
89 Correct 380 ms 22908 KB Output is correct
90 Correct 411 ms 24604 KB Output is correct
91 Correct 270 ms 12748 KB Output is correct
92 Correct 342 ms 22272 KB Output is correct
93 Correct 270 ms 13192 KB Output is correct
94 Correct 251 ms 13204 KB Output is correct
95 Correct 233 ms 13120 KB Output is correct
96 Correct 403 ms 22552 KB Output is correct
97 Correct 239 ms 22604 KB Output is correct
98 Correct 310 ms 19608 KB Output is correct
99 Correct 382 ms 17040 KB Output is correct
100 Correct 90 ms 17084 KB Output is correct