Problem:


Score : 500 points

Problem Statement

There are K items placed on a grid of squares with R rows and C columns. Let (i, j) denote the square at the i-th row (1 \leq i \leq R) and the j-th column (1 \leq j \leq C). The i-th item is at (r_i, c_i) and has the value v_i.

Takahashi will begin at (1, 1), the start, and get to (R, C), the goal. When he is at (i, j), he can move to (i + 1, j) or (i, j + 1) (but cannot move to a non-existent square).

He can pick up items on the squares he visits, including the start and the goal, but at most three for each row. It is allowed to ignore the item on a square he visits.

Find the maximum possible sum of the values of items he picks up.

Constraints

1 \leq R, C \leq 3000

1 \leq K \leq \min(2 \times 10^5, R \times C)

1 \leq r_i \leq R

1 \leq c_i \leq C

(r_i, c_i) \neq (r_j, c_j) (i \neq j)

1 \leq v_i \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

R C K
r_1 c_1 v_1
r_2 c_2 v_2
:
r_K c_K v_K

Output

Print the maximum possible sum of the values of items Takahashi picks up.

Sample Input 1

2 2 3
1 1 3
2 1 4
1 2 5

Sample Output 1

8

He has two ways to get to the goal:

Visit (1, 1), (1, 2), and (2, 2), in this order. In this case, the total value of the items he can pick up is 3 + 5 = 8.

Visit (1, 1), (2, 1), and (2, 2), in this order. In this case, the total value of the items he can pick up is 3 + 4 = 7.

Thus, the maximum possible sum of the values of items he picks up is 8.

Sample Input 2

2 5 5
1 1 3
2 4 20
1 2 1
1 3 4
1 4 2

Sample Output 2

29

We have four items in the 1-st row. The optimal choices are as follows:

Visit (1, 1) (1, 2), (1, 3), (1, 4), (2, 4), and (2, 5), in this order, and pick up all items except the one on (1, 2). Then, the total value of the items he picks up will be 3 + 4 + 2 + 20 = 29.

Sample Input 3

4 5 10
2 5 12
1 5 12
2 3 15
1 2 20
1 1 28
2 4 26
3 2 27
4 5 21
3 5 10
1 3 10

Sample Output 3

142



Sample input:
2 2 3
1 1 3
2 1 4
1 2 5


Sample output:
8

Submission status: Accepted

Solution code:
R,C,K = map(int, input().split())
a = [[0] * (C+1) for i in range(R+1)]
dp = [[[0] * (C+1) for i in range(R+1)] for j in range(4)]
for i in range(K):
  r,c,v = map(int, input().split())
  a[r-1][c-1] = v

for i in range(R):
  for j in range(C):
    for k in range(2, -1, -1):
      dp[k+1][i][j] = max(dp[k+1][i][j], dp[k][i][j]+a[i][j])
    for k in range(4):
      dp[0][i+1][j] = max(dp[0][i+1][j], dp[k][i][j])
      dp[k][i][j+1] = max(dp[k][i][j+1], dp[k][i][j])

    
ans = 0
for k in range(4):
  ans = max(ans, dp[k][R-1][C-1])
print(ans)

Submission status: Accepted

Solution code:
R, C, K = map(int, input().split())
item = [[0]*C for _ in range(R)]
for _ in range(K):
    r, c, v = map(int, input().split())
    item[r-1][c-1] = v
dp = [[[0]*C for _ in range(R)] for _ in range(4)]
dp[1][0][0] = item[0][0]

for h in range(R):
    for w in range(C):
        if h!=0:
            dp[0][h][w] = max(dp[0][h][w], dp[0][h-1][w], dp[1][h-1][w],  dp[2][h-1][w],  dp[3][h-1][w])
            dp[1][h][w] = max(dp[1][h][w], dp[0][h-1][w]+item[h][w], dp[1][h-1][w]+item[h][w], dp[2][h-1][w]+item[h][w], dp[3][h-1][w]+item[h][w])
        if w!=0:
            dp[0][h][w] = max(dp[0][h][w], dp[0][h][w-1])
            dp[1][h][w] = max(dp[1][h][w], dp[1][h][w-1], dp[0][h][w-1]+item[h][w])
            dp[2][h][w] = max(dp[2][h][w], dp[2][h][w-1], dp[1][h][w-1]+item[h][w])
            dp[3][h][w] = max(dp[3][h][w], dp[3][h][w-1], dp[2][h][w-1]+item[h][w])
ans = []
for k in range(4):
    ans.append(dp[k][-1][-1])
print(max(ans))

Submission status: Accepted

Solution code:
import base64

exec(base64.b64decode(b'aW1wb3J0IHN1YnByb2Nlc3MKaW1wb3J0IHN5cwoKY29kZSA9IHIiIiIjaW5jbHVkZSA8YWxnb3JpdGhtPgojaW5jbHVkZSA8Yml0c2V0PgojaW5jbHVkZSA8Y2Fzc2VydD4KI2luY2x1ZGUgPGNjdHlwZT4KI2luY2x1ZGUgPGNocm9ubz4KI2luY2x1ZGUgPGNtYXRoPgojaW5jbHVkZSA8Y29tcGxleD4KI2luY2x1ZGUgPGNzdHJpbmc+CiNpbmNsdWRlIDxkZXF1ZT4KI2luY2x1ZGUgPGlvbWFuaXA+CiNpbmNsdWRlIDxpb3N0cmVhbT4KI2luY2x1ZGUgPG1hcD4KI2luY2x1ZGUgPG51bWVyaWM+CiNpbmNsdWRlIDxxdWV1ZT4KI2luY2x1ZGUgPHJhbmRvbT4KI2luY2x1ZGUgPHNldD4KI2luY2x1ZGUgPHN0YWNrPgojaW5jbHVkZSA8c3RyaW5nPgojaW5jbHVkZSA8dHVwbGU+CiNpbmNsdWRlIDx1dGlsaXR5PgojaW5jbHVkZSA8dmVjdG9yPgoKdXNpbmcgbmFtZXNwYWNlIHN0ZDsKCnVzaW5nIGludDY0ID0gbG9uZyBsb25nOwoKI2RlZmluZSBhbGwoXykgYmVnaW4oXyksIGVuZChfKQojZGVmaW5lIHJhbGwoXykgcmJlZ2luKF8pLCByZW5kKF8pCgppbnQ2NCBkcFszMDAwXVszMDAwXVs0XTsKCmludCBtYWluKCkgewogIGlvc19iYXNlOjpzeW5jX3dpdGhfc3RkaW8oZmFsc2UpOwogIGNpbi50aWUobnVsbHB0cik7CgogIGludCByLCBjLCBrOyBjaW4gPj4gciA+PiBjID4+IGs7CiAgaW50IHZhbFtyXVtjXTsKICBmaWxsKHZhbFswXSwgdmFsW3JdLCAwKTsKICBmb3IgKGludCBpID0gMDsgaSA8IGs7ICsraSkgewogICAgaW50IHgsIHksIHo7IGNpbiA+PiB4ID4+IHkgPj4gejsKICAgIC0teDsgLS15OwogICAgdmFsW3hdW3ldID0gejsKICB9CgogIGlmICh2YWxbMF1bMF0gIT0gMCkgZHBbMF1bMF1bMV0gPSB2YWxbMF1bMF07CgogIGZvciAoaW50IGkgPSAwOyBpIDwgcjsgKytpKSB7CiAgICBmb3IgKGludCBqID0gMDsgaiA8IGM7ICsraikgewogICAgICBpZiAoaSA9PSAwICYmIGogPT0gMCkgY29udGludWU7CgogICAgICBpZiAodmFsW2ldW2pdICE9IDApIHsKICAgICAgICBpZiAoaSA+IDApIHsKICAgICAgICAgIGZvciAoaW50IGwgPSAwOyBsIDwgNDsgKytsKSBkcFtpXVtqXVswXSA9IG1heChkcFtpXVtqXVswXSwgZHBbaSAtIDFdW2pdW2xdKTsKICAgICAgICAgIGZvciAoaW50IGwgPSAwOyBsIDwgNDsgKytsKSBkcFtpXVtqXVsxXSA9IG1heChkcFtpXVtqXVsxXSwgZHBbaSAtIDFdW2pdW2xdICsgdmFsW2ldW2pdKTsKICAgICAgICB9CiAgICAgICAgaWYgKGogPiAwKSB7CiAgICAgICAgICBkcFtpXVtqXVswXSA9IG1heChkcFtpXVtqXVswXSwgZHBbaV1baiAtIDFdWzBdKTsKICAgICAgICAgIGZvciAoaW50IGwgPSAxOyBsIDwgNDsgKytsKSB7CiAgICAgICAgICAgIGRwW2ldW2pdW2xdID0gbWF4KHtkcFtpXVtqXVtsXSwgZHBbaV1baiAtIDFdW2xdLCBkcFtpXVtqIC0gMV1bbCAtIDFdICsgdmFsW2ldW2pdfSk7CiAgICAgICAgICB9CiAgICAgICAgfQogICAgICB9IGVsc2UgewogICAgICAgIGlmIChpID4gMCkgewogICAgICAgICAgZm9yIChpbnQgbCA9IDA7IGwgPCA0OyArK2wpIGRwW2ldW2pdWzBdID0gbWF4KGRwW2ldW2pdWzBdLCBkcFtpIC0gMV1bal1bbF0pOwogICAgICAgIH0KICAgICAgICBpZiAoaiA+IDApIHsKICAgICAgICAgIGZvciAoaW50IGwgPSAwOyBsIDwgNDsgKytsKSBkcFtpXVtqXVtsXSA9IG1heChkcFtpXVtqXVtsXSwgZHBbaV1baiAtIDFdW2xdKTsKICAgICAgICB9CiAgICAgIH0KICAgIH0KICB9CgogIGludDY0IGFucyA9IDA7CiAgZm9yIChpbnQgaSA9IDA7IGkgPCA0OyArK2kpIGFucyA9IG1heChhbnMsIGRwW3IgLSAxXVtjIC0gMV1baV0pOwogIGNvdXQgPDwgYW5zIDw8IGVuZGw7CgogIHJldHVybiAwOwp9CiIiIgoKd2l0aCBvcGVuKCdzb2wuY3BwJywgJ3cnKSBhcyBmOgogICAgZi53cml0ZShjb2RlKQoKc3VicHJvY2Vzcy5Qb3BlbihbJ2crKycsICctc3RkPWMrKzE3JywgJy1PMicsICdzb2wuY3BwJ10pLmNvbW11bmljYXRlKCkKc3VicHJvY2Vzcy5Qb3BlbihbJy4vYS5vdXQnXSwgc3RkaW49c3lzLnN0ZGluLCBzdGRvdXQ9c3lzLnN0ZG91dCkuY29tbXVuaWNhdGUoKQ=='))

Submission status: Accepted

Solution code:
import base64

exec(base64.b64decode(b'import subprocess
import sys

code = r"""#pragma GCC optimize("unroll-loops")

#include <algorithm>
#include <bitset>
#include <cassert>
#include <cctype>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstring>
#include <deque>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <utility>
#include <vector>

using namespace std;

using int64 = long long;

#define all(_) begin(_), end(_)
#define rall(_) rbegin(_), rend(_)

int64 dp[3000][3000][4];

namespace FastIO {
class Scanner {
  static constexpr int buf_size = (1 << 18);
  static constexpr int integer_size = 20;
  static constexpr int string_size = 1000; // default
  char buf[buf_size] = {};
  char *cur = buf, *ed = buf;

 public:
  Scanner() {}

  template <class T>
  inline Scanner& operator>>(T& val) {
    read(val);
    return *this;
  }

 private:
  inline void reload() {
    size_t len = ed - cur;
    memmove(buf, cur, len);
    char* tmp = buf + len;
    ed = tmp + fread(tmp, 1, buf_size - len, stdin);
    *ed = 0;
    cur = buf;
  }

  inline void skip_space() {
    while (true) {
      if (cur == ed) reload();
      while (*cur == ' ' || *cur == '\n') ++cur;
      if (__builtin_expect(cur != ed, 1)) return;
    }
  }

  template <class T, std::enable_if_t<std::is_same<T, int>::value, int> = 0>
  inline void read(T& num) {
    skip_space();
    if (cur + integer_size >= ed) reload();
    bool neg = false;
    num = 0;
    if (*cur == '-') neg = true, ++cur;
    while (*cur >= '0') num = num * 10 + (*cur ^ 48), ++cur;
    if (neg) num = -num;
  }

  template <class T, std::enable_if_t<std::is_same<T, int64>::value, int> = 0>
  inline void read(T& num) {
    skip_space();
    if (cur + integer_size >= ed) reload();
    bool neg = false;
    num = 0;
    if (*cur == '-') neg = true, ++cur;
    while (*cur >= '0') num = num * 10 + (*cur ^ 48), ++cur;
    if (neg) num = -num;
  }

  template <class T,
            std::enable_if_t<std::is_same<T, std::string>::value, int> = 0>
  inline void read(T& str) {
    skip_space();
    if (cur + str.size() >= ed) reload();
    auto it = cur;
    while (!(*cur == ' ' || *cur == '\n')) ++cur;
    str = std::string(it, cur);
  }

  template <class T, std::enable_if_t<std::is_same<T, char>::value, int> = 0>
  inline void read(T& c) {
    skip_space();
    if (cur + 1 >= ed) reload();
    c = *cur, ++cur;
  }

  template <class T, std::enable_if_t<std::is_same<T, double>::value, int> = 0>
  inline void read(T& num) {
    skip_space();
    if (cur + integer_size >= ed) reload();
    bool neg = false;
    num = 0;
    if (*cur == '-') neg = true, ++cur;
    while (*cur >= '0' && *cur <= '9') num = num * 10 + (*cur ^ 48), ++cur;
    if (*cur != '.') return;
    ++cur;
    T base = 0.1;
    while (*cur >= '0' && *cur <= '9') {
      num += base * (*cur ^ 48);
      ++cur;
      base *= 0.1;
    }
    if (neg) num = -num;
  }

  template <class T,
            std::enable_if_t<std::is_same<T, long double>::value, int> = 0>
  inline void read(T& num) {
    skip_space();
    if (cur + integer_size >= ed) reload();
    bool neg = false;
    num = 0;
    if (*cur == '-') neg = true, ++cur;
    while (*cur >= '0' && *cur <= '9') num = num * 10 + (*cur ^ 48), ++cur;
    if (*cur != '.') return;
    ++cur;
    T base = 0.1;
    while (*cur >= '0' && *cur <= '9') {
      num += base * (*cur ^ 48);
      ++cur;
      base *= 0.1;
    }
    if (neg) num = -num;
  }

  template <class T>
  inline void read(std::vector<T>& vec) {
    for (T& e : vec) read(e);
  }

  template <class T, class U>
  inline void read(std::pair<T, U>& p) {
    read(p.first, p.second);
  }

  template <class Tuple, std::size_t... Is>
  inline void tuple_scan(Tuple& tp, std::index_sequence<Is...>) {
    (read(std::get<Is>(tp)), ...);
  }

  template <class... Args>
  inline void read(std::tuple<Args...>& tp) {
    tuple_scan(tp, std::index_sequence_for<Args...>{});
  }

  inline void read() {}

  template <class Head, class... Tail>
  inline void read(Head&& head, Tail&&... tail) {
    read(head);
    read(std::forward<Tail>(tail)...);
  }
};

class Printer {
  static constexpr int buf_size = (1 << 18);
  static constexpr int integer_size = 20;
  static constexpr int string_size = (1 << 6);
  static constexpr int margin = 1;
  static constexpr int n = 10000;
  char buf[buf_size + margin] = {};
  char table[n * 4] = {};
  char* cur = buf;

 public:
  constexpr Printer() { build(); }

  ~Printer() { flush(); }

  template <class T>
  inline Printer& operator<<(T val) {
    write(val);
    return *this;
  }

  template<class T>
  inline void println(T val) {
    write(val);
    write('\n');
  }

 private:
  constexpr void build() {
    for (int i = 0; i < 10000; ++i) {
      int tmp = i;
      for (int j = 3; j >= 0; --j) {
        table[i * 4 + j] = tmp % 10 + '0';
        tmp /= 10;
      }
    }
  }

  inline void flush() {
    fwrite(buf, 1, cur - buf, stdout);
    cur = buf;
  }

  template <class T, std::enable_if_t<std::is_same<T, int>::value, int> = 0>
  inline int get_digit(T n) {
    if (n >= (int)1e5) {
      if (n >= (int)1e8) return 9;
      if (n >= (int)1e7) return 8;
      if (n >= (int)1e6) return 7;
      return 6;
    } else {
      if (n >= (int)1e4) return 5;
      if (n >= (int)1e3) return 4;
      if (n >= (int)1e2) return 3;
      if (n >= (int)1e1) return 2;
      return 1;
    }
  }

  template <class T, std::enable_if_t<std::is_same<T, int64>::value, int> = 0>
  inline int get_digit(T n) {
    if (n >= (int64)1e10) {
      if (n >= (int64)1e14) {
        if (n >= (int64)1e18) return 19;
        if (n >= (int64)1e17) return 18;
        if (n >= (int64)1e16) return 17;
        if (n >= (int64)1e15) return 16;
        return 15;
      } else {
        if (n >= (int64)1e14) return 15;
        if (n >= (int64)1e13) return 14;
        if (n >= (int64)1e12) return 13;
        if (n >= (int64)1e11) return 12;
        return 11;
      }
    } else {
      if (n >= (int64)1e5) {
        if (n >= (int64)1e9) return 10;
        if (n >= (int64)1e8) return 9;
        if (n >= (int64)1e7) return 8;
        if (n >= (int64)1e6) return 7;
        return 6;
      } else {
        if (n >= (int64)1e4) return 5;
        if (n >= (int64)1e3) return 4;
        if (n >= (int64)1e2) return 3;
        if (n >= (int64)1e1) return 2;
        return 1;
      }
    }
  }

  template <class T, std::enable_if_t<std::is_same<T, int>::value, int> = 0>
  inline void write(T num) {
    if (__builtin_expect(cur + integer_size >= buf + buf_size, 0)) flush();
    if (num == 0) {
      write('0');
      return;
    }
    if (num < 0) {
      write('-');
      num = -num;
    }
    int len = get_digit(num);
    int digits = len;
    while (num >= 10000) {
      memcpy(cur + len - 4, table + (num % 10000) * 4, 4);
      num /= 10000;
      len -= 4;
    }
    memcpy(cur, table + num * 4 + (4 - len), len);
    cur += digits;
  }

  template <class T, std::enable_if_t<std::is_same<T, int64>::value, int> = 0>
  inline void write(T num) {
    if (__builtin_expect(cur + integer_size >= buf + buf_size, 0)) flush();
    if (num == 0) {
      write('0');
      return;
    }
    if (num < 0) {
      write('-');
      num = -num;
    }
    int len = get_digit(num);
    int digits = len;
    while (num >= 10000) {
      memcpy(cur + len - 4, table + (num % 10000) * 4, 4);
      num /= 10000;
      len -= 4;
    }
    memcpy(cur, table + num * 4 + (4 - len), len);
    cur += digits;
  }

  template <class T, std::enable_if_t<std::is_same<T, char>::value, int> = 0>
  inline void write(T c) {
    if (__builtin_expect(cur + 1 >= buf + buf_size, 0)) flush();
    *cur = c;
    ++cur;
  }

  template <class T,
            std::enable_if_t<std::is_same<T, std::string>::value, int> = 0>
  inline void write(T str) {
    if (__builtin_expect(cur + str.size() >= buf + buf_size, 0)) flush();
    for (char c : str) write(c);
  }

  template <class T,
            std::enable_if_t<std::is_same<T, const char*>::value, int> = 0>
  inline void write(T str) {
    if (__builtin_expect(cur + string_size >= buf + buf_size, 0)) flush();
    for (int i = 0; str[i]; ++i) write(str[i]);
  }
};
}  // namespace FastIO

FastIO::Scanner fin;
FastIO::Printer fout;


int main() {
  int r, c, k; fin >> r >> c >> k;
  int val[r][c];
  fill(val[0], val[r], 0);
  for (int i = 0; i < k; ++i) {
    int x, y, z; fin >> x >> y >> z;
    --x; --y;
    val[x][y] = z;
  }

  if (val[0][0] != 0) dp[0][0][1] = val[0][0];

  for (int i = 0; i < r; ++i) {
    for (int j = 0; j < c; ++j) {
      if (i == 0 && j == 0) continue;

      if (val[i][j] != 0) {
        if (i > 0) {
          for (int l = 0; l < 4; ++l) dp[i][j][0] = max(dp[i][j][0], dp[i - 1][j][l]);
          for (int l = 0; l < 4; ++l) dp[i][j][1] = max(dp[i][j][1], dp[i - 1][j][l] + val[i][j]);
        }
        if (j > 0) {
          dp[i][j][0] = max(dp[i][j][0], dp[i][j - 1][0]);
          for (int l = 1; l < 4; ++l) {
            dp[i][j][l] = max({dp[i][j][l], dp[i][j - 1][l], dp[i][j - 1][l - 1] + val[i][j]});
          }
        }
      } else {
        if (i > 0) {
          for (int l = 0; l < 4; ++l) dp[i][j][0] = max(dp[i][j][0], dp[i - 1][j][l]);
        }
        if (j > 0) {
          for (int l = 0; l < 4; ++l) dp[i][j][l] = max(dp[i][j][l], dp[i][j - 1][l]);
        }
      }
    }
  }

  int64 ans = 0;
  for (int i = 0; i < 4; ++i) ans = max(ans, dp[r - 1][c - 1][i]);
  fout.println(ans);

  return 0;
}
"""

with open('sol.cpp', 'w') as f:
    f.write(code)

subprocess.Popen(['g++', '-std=c++17', '-O2', 'sol.cpp']).communicate()
subprocess.Popen(['./a.out'], stdin=sys.stdin, stdout=sys.stdout).communicate()'))

Submission status: Accepted

Solution code:
import numpy as np
import numba
from numba import njit, b1, i4, i8, f8

@njit((i8, i8, i8, i8[:,:]), cache=True)
def solve(R,C,K,item):
  dp = np.zeros((C+1,4), dtype=np.int64)
  for i in range(1,R+1):
    new_dp = np.zeros((C+1,4), dtype=np.int64)
    #上から移動
    for k in range(4):
      new_dp[:,0] = np.maximum(new_dp[:,0], dp[:,k])
    dp = new_dp
    for j in range(1,C+1):
      #横から移動
      for k in range(4):
        new_dp[j][k] = np.maximum(new_dp[j,k],new_dp[j-1,k])
      #アイテムを取る
      for k in range(2,-1,-1):
        dp[j,k+1] = np.maximum(dp[j,k+1],dp[j,k]+item[i-1][j-1])
  ans = dp[-1].max()
  return ans

R, C, K = map(int, input().split())
item = np.zeros((R,C), dtype=np.int64)
for i in range(K):
  r,c,v = map(int, input().split())
  item[r-1,c-1] = v
print(solve(R,C,K,item))

Submission status: Accepted

Solution code:
import numpy as np
import numba
from numba import njit, b1, i4, i8, f8

@njit((i8, i8, i8, i8[:,:]), cache=True)
def solve(R,C,K,item):
  dp = np.zeros((C+1,4), dtype=np.int64)
  for i in range(1,R+1):
    new_dp = np.zeros((C+1,4), dtype=np.int64)
    #上から移動
    for k in range(4):
      new_dp[:,0] = np.maximum(new_dp[:,0], dp[:,k])
    dp = new_dp
    for j in range(1,C+1):
      #横から移動
      for k in range(4):
        new_dp[j][k] = np.maximum(new_dp[j][k],new_dp[j-1][k])
      #アイテムを取る
      for k in range(2,-1,-1):
        dp[j,k+1] = np.maximum(dp[j,k+1],dp[j,k]+item[i-1][j-1])
  ans = dp[-1].max()
  return ans

R, C, K = map(int, input().split())
item = np.zeros((R,C), dtype=np.int64)
for i in range(K):
  r,c,v = map(int, input().split())
  item[r-1,c-1] = v
print(solve(R,C,K,item))

Submission status: Accepted

Solution code:
import sys
import numpy as np
import numba
from numba import njit, b1, i4, i8, f8
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline

@njit((i8, i8, i8, i8[:]), cache=True)
def solve(R,C,K,XYV):
  item = np.zeros((R + 1, C + 1), dtype=np.int64)
  for i in range(0, 3 * K, 3):
    x, y, v = XYV[i:i + 3]
    item[x - 1, y - 1] = v
  dp = np.zeros((C+1,4), dtype=np.int64)
  for i in range(R):
    new_dp = np.zeros((C+1,4), dtype=np.int64)
    #上から移動
    for k in range(4):
      new_dp[:,0] = np.maximum(new_dp[:,0], dp[:,k])
    dp = new_dp
    for j in range(1,C+1):
      #横から移動
      for k in range(4):
        new_dp[j,k] = np.maximum(new_dp[j,k],new_dp[j-1,k])
      #アイテムを取る
      for k in range(2,-1,-1):
        dp[j,k+1] = np.maximum(dp[j,k+1],dp[j,k]+item[i,j-1])
  ans = dp[-1].max()
  return ans

R, C, K = map(int, readline().split())
XYV = np.array(read().split(), np.int64)
print(solve(R,C,K,XYV))

Submission status: Accepted

Solution code:
import sys
import numpy as np
import numba
from numba import njit, b1, i4, i8, f8
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline

@njit((i8, i8, i8, i8[:]), cache=True)
def solve(R,C,K,XYV):
  item = np.zeros((R + 1, C + 1), dtype=np.int64)
  for i in range(0, 3 * K, 3):
    x, y, v = XYV[i:i + 3]
    item[x - 1, y - 1] = v
  dp = np.zeros((C+1,4), dtype=np.int64)
  for i in range(1,R+1):
    new_dp = np.zeros((C+1,4), dtype=np.int64)
    #上から移動
    for k in range(4):
      new_dp[:,0] = np.maximum(new_dp[:,0], dp[:,k])
    dp = new_dp
    for j in range(1,C+1):
      #横から移動
      new_dp[j] = np.maximum(new_dp[j],new_dp[j-1])
      #アイテムを取る
      for k in range(2,-1,-1):
        dp[j,k+1] = np.maximum(dp[j,k+1],dp[j,k]+item[i-1,j-1])
  ans = dp[-1].max()
  return ans

R, C, K = map(int, readline().split())
XYV = np.array(read().split(), np.int64)
print(solve(R,C,K,XYV))

Submission status: Accepted

Solution code:
import numpy as np
import numba
from numba import njit, b1, i4, i8, f8

@njit((i8, i8, i8, i8[:,:]), cache=True)
def solve(R,C,K,item):
  dp = np.zeros((C+1,4), dtype=np.int64)
  for i in range(1,R+1):
    new_dp = np.zeros((C+1,4), dtype=np.int64)
    #上から移動
    for k in range(4):
      new_dp[:,0] = np.maximum(new_dp[:,0], dp[:,k])
    dp = new_dp
    for j in range(1,C+1):
      #横から移動
      new_dp[j] = np.maximum(new_dp[j],new_dp[j-1])
      #アイテムを取る
      for k in range(2,-1,-1):
        dp[j,k+1] = np.maximum(dp[j,k+1],dp[j,k]+item[i-1][j-1])
  ans = dp[-1].max()
  return ans

R, C, K = map(int, input().split())
item = np.zeros((R,C), dtype=np.int64)
for i in range(K):
  r,c,v = map(int, input().split())
  item[r-1,c-1] = v
print(solve(R,C,K,item))

Submission status: Accepted

Solution code:
import numpy as np
import numba
from numba import njit, b1, i4, i8, f8

@njit((i8, i8, i8, i8[:,:]), cache=True)
def solve(R,C,K,item):
  dp = np.zeros((C+1,5), dtype=np.int64)
  for i in range(1,R+1):
    new_dp = np.zeros((C+1,4), dtype=np.int64)
    #上から移動
    for k in range(4):
      new_dp[:,0] = np.maximum(new_dp[:,0], dp[:,k])
    dp = new_dp
    for j in range(1,C+1):
      #横から移動
      new_dp[j] = np.maximum(new_dp[j],new_dp[j-1])
      #アイテムを取る
      for k in range(2,-1,-1):
        dp[j,k+1] = np.maximum(dp[j,k+1],dp[j,k]+item[i-1][j-1])
  ans = dp[-1].max()
  return ans

R, C, K = map(int, input().split())
item = np.zeros((R,C), dtype=np.int64)
for i in range(K):
  r,c,v = map(int, input().split())
  item[r-1,c-1] = v
print(solve(R,C,K,item))

Submission status: Accepted

Solution code:
import numpy as np
import numba
from numba import njit, b1, i4, i8, f8

@njit((i8, i8, i8, i8[:,:]), cache=True)
def solve(R,C,K,item):
  dp = np.zeros((C+1,5), dtype=np.int64)
  for i in range(1,R+1):
    new_dp = np.zeros((C+1,5), dtype=np.int64)
    #上からアイテムを取らずに移動
    new_dp[:,0] = dp[:,-1]
    #上からアイテムを取って移動
    new_dp[1:,1] = np.maximum(new_dp[1:,1],dp[1:,-1]+item[i-1])
    for j in range(1,C+1):
      #横からアイテムを取らずに移動
      new_dp[j] = np.maximum(new_dp[j],new_dp[j-1])
      #横からアイテムを取って移動
      for k in range(1,4):
        new_dp[j,k] = max(new_dp[j,k],new_dp[j-1,k-1]+item[i-1,j-1])
    for k in range(4):
      new_dp[:,-1] = np.maximum(new_dp[:,-1],new_dp[:,k])
    dp = new_dp
  ans = dp[-1,-1]
  return ans

R, C, K = map(int, input().split())
item = np.zeros((R,C), dtype=np.int64)
for i in range(K):
  r,c,v = map(int, input().split())
  item[r-1,c-1] = v
print(solve(R,C,K,item))

Submission status: Accepted

Solution code:
import numpy as np
import numba
from numba import njit, b1, i4, i8, f8

@njit((i8, i8, i8, i8[:,:]), cache=True)
def solve(R,C,K,item):
  dp = np.zeros((5,C+1), dtype=np.int64)
  for i in range(1,R+1):
    new_dp = np.zeros((5,C+1), dtype=np.int64)
    #上からアイテムを取らずに移動
    new_dp[0] = dp[-1]
    #上からアイテムを取って移動
    new_dp[1][1:] = np.maximum(new_dp[1][1:],dp[-1][1:]+item[i-1])
    for j in range(1,C+1):
      #横からアイテムを取らずに移動
      new_dp[:,j] = np.maximum(new_dp[:,j],new_dp[:,j-1])
      #横からアイテムを取って移動
      for k in range(1,4):
        new_dp[k,j] = max(new_dp[k,j],new_dp[k-1,j-1]+item[i-1,j-1])
    for k in range(4):
      new_dp[-1] = np.maximum(new_dp[-1],new_dp[k])
    dp = new_dp
  ans = dp[-1,-1]
  return ans

R, C, K = map(int, input().split())
item = np.zeros((R,C), dtype=np.int64)
for i in range(K):
  r,c,v = map(int, input().split())
  item[r-1,c-1] = v
print(solve(R,C,K,item))

Submission status: Accepted

Solution code:
R, C, K = map(int, input().split())

I = [[0]*C for i in range(R)]
for _ in range(K):
    r, c, v = map(int, input().split())
    I[r-1][c-1] = v   # 0-indexed

dp0 = [[0 for j in range(C+1)] for i in range(R+1)]
dp1 = [[0 for j in range(C+1)] for i in range(R+1)]
dp2 = [[0 for j in range(C+1)] for i in range(R+1)]
dp3 = [[0 for j in range(C+1)] for i in range(R+1)]
for i in range(R):
    for j in range(C):
        dp3[i][j] = max(dp3[i][j], dp2[i][j]+I[i][j])
        dp2[i][j] = max(dp2[i][j], dp1[i][j]+I[i][j])
        dp1[i][j] = max(dp1[i][j], dp0[i][j]+I[i][j])
        dp0[i+1][j] = max(dp0[i+1][j], dp0[i][j], dp1[i]
                          [j], dp2[i][j], dp3[i][j])
        dp0[i][j+1] = max(dp0[i][j+1], dp0[i][j])
        dp1[i][j+1] = max(dp1[i][j+1], dp1[i][j])
        dp2[i][j+1] = max(dp2[i][j+1], dp2[i][j])
        dp3[i][j+1] = max(dp3[i][j+1], dp3[i][j])


# print(*dp, sep=' \n')

ans = max(dp0[R-1][C-1], dp1[R-1][C-1], dp2[R-1][C-1], dp3[R-1][C-1])
print(ans)

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.readline

R, C, K = map(int, input().split())

I = [[0]*C for i in range(R)]
for _ in range(K):
    r, c, v = map(int, input().split())
    I[r-1][c-1] = v   # 0-indexed

dp0 = [[0 for j in range(C+1)] for i in range(R+1)]
dp1 = [[0 for j in range(C+1)] for i in range(R+1)]
dp2 = [[0 for j in range(C+1)] for i in range(R+1)]
dp3 = [[0 for j in range(C+1)] for i in range(R+1)]
for i in range(R):
    for j in range(C):
        dp3[i][j] = max(dp3[i][j], dp2[i][j]+I[i][j])
        dp2[i][j] = max(dp2[i][j], dp1[i][j]+I[i][j])
        dp1[i][j] = max(dp1[i][j], dp0[i][j]+I[i][j])
        dp0[i+1][j] = max(dp0[i+1][j], dp0[i][j], dp1[i]
                          [j], dp2[i][j], dp3[i][j])
        dp0[i][j+1] = max(dp0[i][j+1], dp0[i][j])
        dp1[i][j+1] = max(dp1[i][j+1], dp1[i][j])
        dp2[i][j+1] = max(dp2[i][j+1], dp2[i][j])
        dp3[i][j+1] = max(dp3[i][j+1], dp3[i][j])


# print(*dp, sep=' \n')

ans = max(dp0[R-1][C-1], dp1[R-1][C-1], dp2[R-1][C-1], dp3[R-1][C-1])
print(ans)

Submission status: Accepted

Solution code:
import sys
import numpy as np
from numba import njit,i8

R,C,K = map(int,input().split())
item = np.zeros((R,C),np.int64)
for _ in range(K):
    r,c,v = map(int,input().split())
    item[r-1][c-1] = v
    

@njit(i8(i8[:,:],i8,i8), cache = True)
def solve(item,R,C):
    dp = np.zeros((R+1,C+1,4),np.int64)
    for ri in range(R):
        for ci in range(C):
            dp[ri+1][ci+1][0] = max(dp[ri+1][ci][0], dp[ri][ci+1][3])
            dp[ri+1][ci+1][1] = max(dp[ri+1][ci][1], dp[ri+1][ci][0]+item[ri][ci], dp[ri][ci+1][3]+item[ri][ci], dp[ri+1][ci+1][0])
            dp[ri+1][ci+1][2] = max(dp[ri+1][ci][2], dp[ri+1][ci][1]+item[ri][ci], dp[ri+1][ci+1][1])
            dp[ri+1][ci+1][3] = max(dp[ri+1][ci][3], dp[ri+1][ci][2]+item[ri][ci], dp[ri+1][ci+1][2])
        

    return dp[-1][-1][3]

print(solve(item,R,C))

Submission status: Accepted

Solution code:
r,c,k=map(int, input().split())
grid=[[0]*(c+1) for _ in range(r+1)]
for i in range(k):
    ri,ci,vi=map(int, input().split())
    grid[ri][ci]=vi

dp=[[[0]*(c+1) for _ in range(r+1)] for _ in range(4)]

for i in range(1,r+1):
    for j in range(1,c+1):
        for k in range(4):
            dp[0][i][j]=max(dp[0][i][j],dp[k][i-1][j])
            dp[k][i][j]=max(dp[k][i][j],dp[k][i][j-1])
        if grid[i][j]!=0:
            dp[1][i][j]=max(dp[1][i][j],dp[0][i-1][j]+grid[i][j])
            for k in range(1,4):
                dp[1][i][j]=max(dp[1][i][j],dp[k][i-1][j]+grid[i][j])
                dp[k][i][j]=max(dp[k][i][j],dp[k-1][i][j-1]+grid[i][j])

ans=0
for k in range(4):
    ans=max(ans,dp[k][-1][-1])
print(ans)

Submission status: Accepted

Solution code:
from sys import stdin
readline = stdin.readline

R, C, K = map(int, readline().split())

goods = [[0] * C for _ in range(R)]
for _ in range(K):
    r, c, v = map(int, readline().split())
    goods[r - 1][c - 1] = v

dp = [0] * (C + 1)
for i in range(R):
    cur = [0] * 4
    cur[0] = dp[0]
    for j in range(C):
        if goods[i][j] != 0:
            for k in range(2, -1, -1):
                cur[k + 1] = max(cur[k + 1], cur[k] + goods[i][j])
        dp[j] = max(cur)
        cur[0] = max(cur[0], dp[j + 1])

print(max(cur))