/* -*- coding: utf-8 -*- * * 2866.cc: No.2866 yuusaan's Knapsack - yukicoder */ #include #include #include using namespace std; /* constant */ const int MAX_N = 100; const int MIN_W = -10000; const int MAX_W = 10000; const int M = MAX_W - MIN_W + 1; const int MOD = 998244353; const int INF = 1 << 30; /* typedef */ using pii = pair; /* global variables */ pii wvs[MAX_N]; int dp0[2][M], dp1[2][M]; /* subroutines */ inline void addmod(int &a, int b) { a = (a + b) % MOD; } /* main */ int main() { int n, w; scanf("%d%d", &n, &w); for (int i = 0; i < n; i++) { int v, w; scanf("%d%d", &v, &w); wvs[i] = {w, v}; } sort(wvs, wvs + n); fill(dp0[0], dp0[0] + M, -INF); dp0[0][-MIN_W] = 0, dp1[0][-MIN_W] = 1; int cur = 0, nxt = 1; for (int i = 0; i < n; i++) { auto [wi, vi] = wvs[i]; copy(dp0[cur], dp0[cur] + M, dp0[nxt]); copy(dp1[cur], dp1[cur] + M, dp1[nxt]); for (int j = 0; j < M && j + wi < M; j++) if (dp0[cur][j] > -INF) { int dj = dp0[cur][j] + vi, j1 = j + wi; if (dp0[nxt][j1] < dj) dp0[nxt][j1] = dj, dp1[nxt][j1] = dp1[cur][j]; else if (dp0[nxt][j1] == dj) addmod(dp1[nxt][j1], dp1[cur][j]); } swap(cur, nxt); } int xd0 = -INF, xd1 = 0; for (int j = w - MIN_W; j >= 0; j--) { if (xd0 < dp0[cur][j]) xd0 = dp0[cur][j], xd1 = dp1[cur][j]; else if (xd0 == dp0[cur][j]) addmod(xd1, dp1[cur][j]); } printf("%d %d\n", xd0, xd1); return 0; }