QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#430243#8772. House Deconstructiondjq_cppAC ✓55ms21208kbC++142.7kb2024-06-03 16:24:032024-06-03 16:24:04

Judging History

你现在查看的是最新测评结果

  • [2024-06-03 16:24:04]
  • 评测
  • 测评结果:AC
  • 用时:55ms
  • 内存:21208kb
  • [2024-06-03 16:24:03]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
const LL INF = 0x3f3f3f3f3f3f3f3fLL;

LL sgnx(LL x) {
    return x < 0 ? -1 : 1;
}
LL absx(LL x) {
    return x < 0 ? -x : x;
}

int n, m, t, x[400005], y[400005], psum[400005], pre[400005];
LL rsum[400005], dp[400005];

LL gen_dp(int ps) {
    int l, r;
    for(l = 0; l <= n && psum[l] != ps; l++) ;
    for(r = n; r >= 0 && psum[r] != psum[n] + ps; r--) ;
    if(l > r) return INF + absx(ps) * t;

    dp[l] = 0;
    for(int i = l; i < r; i++) {
        dp[i + 1] = INF;
        if(y[i] == 1) dp[i + 1] = min(dp[i + 1], dp[i]);
        if(pre[i + 1] >= l) dp[i + 1] = min(dp[i + 1], dp[pre[i + 1]] + absx(rsum[i + 1] - rsum[pre[i + 1]]));
    }
    LL ret = dp[r] + sgnx(ps) * (1LL * ps * t + rsum[l] - rsum[r] + rsum[n]);
    return ret;
}

const int MOD = 998244353;
int ans, cdp[400005];
bool bc[400005];
void count(int ps) {
    int l, r;
    for(l = 0; l <= n && psum[l] != ps; l++) ;
    for(r = n; r >= 0 && psum[r] != psum[n] + ps; r--) ;

    for(int i = l; i <= r; i++) {
        bc[i] = false; cdp[i] = 0;
    }
    bc[r] = true;
    for(int i = r - 1; i >= 0; i--) if(bc[i + 1]) {
        if(y[i] == 1 && dp[i + 1] == dp[i]) bc[i] = true;
        if(pre[i + 1] >= l && dp[i + 1] == dp[pre[i + 1]] + absx(rsum[i + 1] - rsum[pre[i + 1]])) bc[pre[i + 1]] = true;
    }

    cdp[l] = 1;
    for(int i = l; i < r; i++) if(bc[i + 1]) {
        if(dp[i + 1] == dp[i]) cdp[i + 1] = (cdp[i + 1] + cdp[i]) % MOD;
        if(pre[i + 1] >= l && dp[i + 1] == dp[pre[i + 1]] + absx(rsum[i + 1] - rsum[pre[i + 1]])) {
            int coef = cdp[pre[i + 1]];
            cdp[i + 1] = (cdp[i + 1] + coef) % MOD;
        }
    }
    ans = (ans + cdp[r]) % MOD;
}

int pp[800005];
int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cin >> t >> n >> m;
    n += m;
    for(int i = 0; i < n; i++) {
        char ch;
        cin >> x[i] >> ch;
        y[i] = ch == 'P' ? -1 : 1;
    }
    for(int i = 0; i < n; i++) {
        psum[i + 1] = psum[i] + y[i];
        rsum[i + 1] = rsum[i] + x[i] * y[i];
    }
    memset(pp, -1, sizeof(pp));
    for(int i = 0; i <= n; i++) {
        pre[i] = pp[psum[i] + n];
        pp[psum[i] + n] = i;
    }
    
    int l = -n, r = n;
    LL a0, a1;
    while(l < r) {
        int mid = (l + r) >> 1;
        a0 = gen_dp(mid);
        a1 = gen_dp(mid + 1);
        if(a0 > a1) l = mid + 1;
        else r = mid;
    }
    for(int i = l; i <= r; i++) {
        a0 = gen_dp(i); count(i);
    }
    while(gen_dp(l - 1) == min(a0, a1)) count(--l);
    while(gen_dp(r + 1) == min(a0, a1)) count(++r);
    assert(r - l <= 1);
    cout << a0 << '\n' << ans << '\n';
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 13152kb

input:

6 2 4
1 P
2 H
3 P
4 H
5 H
6 H

output:

2
3

result:

ok 2 lines

Test #2:

score: 0
Accepted
time: 3ms
memory: 13796kb

input:

1000000000 2 4
1 P
6 H
31415926 H
999999998 H
999999999 H
1000000000 P

output:

4
1

result:

ok 2 lines

Test #3:

score: 0
Accepted
time: 55ms
memory: 21208kb

input:

1000000000 199999 200000
3087 P
3282 H
6407 H
6748 P
9535 P
10098 H
16470 H
22311 H
31045 H
31968 H
32549 H
33037 P
36005 P
36308 H
40284 P
46224 H
52394 P
54922 H
55800 P
56582 H
57548 H
62155 P
63067 P
64237 H
66133 P
71351 P
75667 P
79089 P
79646 P
81144 H
91883 P
96680 H
102797 H
105388 H
105971...

output:

262753966206
1

result:

ok 2 lines

Test #4:

score: 0
Accepted
time: 53ms
memory: 20512kb

input:

1000000000 150000 200000
3087 P
3282 H
6407 H
6748 H
9535 H
10098 H
16470 H
22311 H
31968 H
32549 H
33037 P
36005 P
40284 H
52394 P
54922 H
55800 H
56582 H
57548 H
62155 P
63067 P
64237 H
66133 P
71351 P
75667 H
79089 P
79646 P
81144 H
91883 P
96680 H
102797 H
105388 H
105971 P
106057 P
107807 P
116...

output:

1212175277
8

result:

ok 2 lines

Test #5:

score: 0
Accepted
time: 28ms
memory: 19964kb

input:

1000000000 100000 200000
3068 H
3087 P
3106 H
33031 H
33037 P
33043 H
52370 H
52394 P
52418 H
62996 H
63067 P
63138 H
66040 H
66133 P
66226 H
71350 H
71351 P
71352 H
91852 H
91883 P
91914 H
105924 H
105969 H
105971 P
106018 H
106057 P
106145 H
116361 H
116385 P
116409 H
126036 H
126084 P
126132 H
12...

output:

4978306
463697368

result:

ok 2 lines

Test #6:

score: 0
Accepted
time: 46ms
memory: 20644kb

input:

1000000 150000 200000
2 H
3 H
6 H
8 H
16 P
17 H
19 P
20 P
21 P
24 H
28 H
33 H
37 P
38 H
40 H
44 P
48 H
49 P
58 P
59 P
60 H
62 P
65 P
70 H
72 H
76 P
77 H
79 P
84 P
93 H
96 P
101 H
104 H
106 P
110 H
111 P
112 H
116 H
124 P
125 H
126 H
127 H
128 P
134 H
135 P
137 P
138 P
140 H
142 H
145 H
146 H
147 H
1...

output:

1203722
86861366

result:

ok 2 lines

Test #7:

score: 0
Accepted
time: 42ms
memory: 21088kb

input:

1000000000 199999 200000
966788248 H
966788251 P
966788252 H
966788254 P
966788255 H
966788260 P
966788261 H
966788263 P
966788267 H
966788275 P
966788278 H
966788279 P
966788288 H
966788291 P
966788298 H
966788304 P
966788305 H
966788308 P
966788309 H
966788317 P
966788326 H
966788334 P
966788342 H...

output:

1098446
4586

result:

ok 2 lines

Test #8:

score: 0
Accepted
time: 34ms
memory: 19836kb

input:

10000000 137967 139896
52 P
101 H
106 P
149 P
158 P
190 P
258 P
338 P
349 P
350 P
457 P
486 P
500 P
509 P
517 P
563 P
568 P
630 P
723 P
738 P
801 P
819 P
859 P
872 P
885 P
900 P
972 P
1004 P
1034 P
1087 P
1183 P
1236 P
1245 P
1268 P
1436 H
1481 P
1486 P
1511 P
1544 P
1607 P
1647 P
1685 P
1798 P
1819...

output:

317845182248
2

result:

ok 2 lines

Test #9:

score: 0
Accepted
time: 29ms
memory: 19292kb

input:

400000 137967 139896
1 P
2 H
3 P
4 P
5 P
6 P
9 P
10 P
11 P
15 P
16 P
17 P
18 P
19 P
20 P
22 P
23 P
24 P
26 P
27 P
28 P
29 P
31 P
32 P
33 P
34 P
35 P
36 P
37 P
39 P
40 P
45 P
47 P
48 P
49 H
51 P
52 P
53 P
56 P
57 P
58 P
60 P
61 P
62 P
63 P
64 P
65 P
68 P
71 P
72 P
73 P
74 H
75 P
76 P
77 P
78 P
79 P
8...

output:

12717669314
562027925

result:

ok 2 lines

Test #10:

score: 0
Accepted
time: 44ms
memory: 21204kb

input:

1000000000 199000 200000
526190 H
526213 P
526214 H
526299 P
526309 H
526316 P
526351 H
526355 P
526370 H
526400 P
526482 H
526545 P
526569 H
526573 P
526641 H
526658 P
526707 H
526790 P
526838 H
526844 P
526868 H
526967 P
526975 H
527032 P
527097 H
527154 P
527213 H
527278 P
527299 H
527367 P
52743...

output:

9896423
922405585

result:

ok 2 lines

Test #11:

score: 0
Accepted
time: 41ms
memory: 21088kb

input:

1000000000 199950 200000
5239074 H
5239076 P
5239077 H
5239078 P
5239079 H
5239080 P
5239081 H
5239083 P
5239084 H
5239085 P
5239086 H
5239087 P
5239088 H
5239090 P
5239092 H
5239093 P
5239094 H
5239095 P
5239097 H
5239099 P
5239101 H
5239102 P
5239103 H
5239104 P
5239105 H
5239106 P
5239107 H
52391...

output:

299836
463541155

result:

ok 2 lines

Test #12:

score: 0
Accepted
time: 41ms
memory: 21084kb

input:

1000000000 199500 200000
244421 H
244423 P
244424 H
244425 P
244426 H
244427 P
244428 H
244430 P
244431 H
244432 P
244433 H
244434 P
244435 H
244437 P
244439 H
244440 P
244441 H
244442 P
244444 H
244446 P
244448 H
244449 P
244450 H
244451 P
244452 H
244453 P
244454 H
244455 P
244456 H
244458 P
24446...

output:

298242
524810405

result:

ok 2 lines

Test #13:

score: 0
Accepted
time: 31ms
memory: 19288kb

input:

400000 148599 151281
2 P
3 P
5 P
6 P
7 P
8 P
9 P
10 P
11 P
12 P
13 P
14 P
15 P
16 P
17 P
18 P
19 P
22 P
23 P
25 P
30 P
31 P
32 P
33 H
34 P
35 P
36 P
38 P
39 P
40 P
41 P
43 P
45 P
47 P
49 P
50 P
51 P
53 P
54 P
55 P
57 P
58 P
60 H
61 P
62 H
65 P
67 P
68 P
69 P
70 P
71 P
72 P
73 P
74 P
77 P
78 P
79 P
8...

output:

13764808569
268118240

result:

ok 2 lines

Test #14:

score: 0
Accepted
time: 32ms
memory: 20200kb

input:

1000000000 149183 174434
2 H
6 P
10 H
12 H
13 H
14 H
18 P
21 P
23 H
24 H
25 H
30 H
32 H
35 H
37 P
39 P
41 H
53 P
57 H
61 P
62 P
63 P
65 H
66 P
67 H
71 P
73 H
74 P
75 P
76 H
78 H
79 H
80 H
82 P
83 P
84 H
85 H
93 H
95 H
96 P
99 H
107 P
108 P
109 P
111 H
112 P
116 H
118 P
119 H
120 P
121 P
123 H
124 P
...

output:

1788748
930867409

result:

ok 2 lines